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Mathematics Questions and Answers November 13, 2021

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Paying Off a Credit Card with Payments that Form an Annuity After spending too much money on credit card interest last year, Alana applied for a new credit card that had a lower interest rate of 16.9% compounded daily. The terms of her new credit card are similar to her old one. For any payment she makes within a month from the date of purchase,

Triangle XYZ is shown on the coordinate plane :below If triangle XYZ is reflected across the line y = 1 to create triangle X'Y'Z', what is the ordered pair ?'of X (3 ,3) (1 ,3) (1 ,1) (1 ,3) (Question 2(Multiple Choice Worth 4 points (MC 02.02) :Pentagon ABCDE and pentagon A'B'C'D'E' are shown on the coordinate plane below ?'Which two

Math 136 Spring 2017: Assignment 2 (Due Wednesday, May 17, 8pm) Topics: Section 1.1, 1.3, 1.4, bases, subspaces, dot product, norms. 1. Determine with proof which of the following are subspaces of R3 and which are not. (a) S = 1 R3 : = 0 (b) S = R3 : + = 0 0 (c) S = 0 0 (d) S = R3 : = 0 0 1 x1 2 , 2 is a basis of S. x2 : 2x1 + x2 2x3 = 0 . Show

MATH 2080 | Nombre: ___________________ Math 2080 / Tarea 7.2 MDULO 7 | 7.1 TAREA Seccin: _______________ Prof. Ramrez De los tres ejercicios, seleccione dos de ello y presente el procedimiento. Mediante el mtodo simplex, encuentre el valor mximo de la funcin objetiva dada sujeta a las restricciones establecidas. (15 puntos cada uno para un total

is there someone who can help me ? i will appreciate! Find the direction cosines and direction angles of the vector. (Give the direction angles correct to the nearest degree.) (5, 1, 5) cos((1} = E E Find the scalar and vector projections of b onto a. a = (3, 4), b = (6, 7) scalar projection of b onto a vector projection of b onto a The distance
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J. The area of a region under a curve is greater than the area of an inscribed rectangle and less than the area of a circumscribed rectangle. Intuitivelv, we understand that somewhere \"between" the inscribed and circumscribed rectangles there is a rectangle whose area is precisely equal to the area of the region under the curve: \\inta"bleftlx\
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ch 16 2. The table below gives inventory figures for oil filters at Advance Auto Parts. Date Units Purchased Cost per Unit Beginning Inventory, January 1 169 $1.50 Purchase, March 14219 1.70 Purchase, May 25 199 1.52 Purchase, August 19 309 1.81 Purchase, October 24 259 1.68 When the merchandise manager of Advance Auto Parts took physical

A $2800 promissory note issued without interest for five years on September 30, 2015, is discounted on July 31, 2018, at 8% compounded quarterly. Find the compound discount

Suppose that you are thinking about buying a car and have narrowed down your choices to two options. Thenew-car option: The new car costs 32,000 and can be financed with a three 5.37 %. Theused-car option: Athree-year old model of the same car costs $14,000 and can be financed with a five -year loan at 6.03 %. What is the difference in monthly

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We want to know how many years it would take for the pollution in a lake to reach 5% of its current level, assuming no pollution flows in. Make some simplifying assumptions to estimate this. (Hint: first build a model for the rate of change of the total pollution in the lake). Find this time for Lake Erie, Lake Michigan, Lake Superior, and the

Consider the graph of the vector-valued function r ( t ) = t i +16 t 2 j + t 3 k on the interval [0,4] (a) Approximate the length of the curve by finding the length of the line segment connecting its endpoints. (Round your answer to three decimal places.) (b) Approximate the length of the curve by summing the lengths of the line segments

ings Review View Help O Search IT AaBbCc[ AaBbCcDd AaBbCcDd AaBbCcE AaB Heading 1 1 Normal 1 No Spac... Heading 2 Title Paragraph Styles The equation of an ellipse is # + + = 1, where a and b are positive constants, a > b. The foci of this ellipse are located at (c, 0), and (-c, 0), where c = (a2 - b2)1/2. The eccentricity, e, of this ellipse is
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In addition to the question below, I had another question. I read when calculating the T critical value by hand, first you: "Step 1: Subtract one from your sample size. This is your df, or degrees of freedom . For example, if the sample size is 9, then your df is 8 - 1 = 7." If I had a sample size of 29, would by df be 29-1=28? I don't understand
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MATH 107 QUIZ 2 NAME: _______________________________ September, 2017 Instructor: S. Sands I have completed this assignment myself, working independently and not consulting anyone except the instructor. INSTRUCTIONS The quiz is worth 100 points. There are 10 problems. This quiz is open book and open notes. This means that you may refer to your

Discuss the pros and cons of keeping depreciated assets until they physically wear out, as opposed to purchasing new ones and starting the depreciation process over again.

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1.Consider the following logistic growth equation. dN/dt = 4N(4-N) Determine the carrying capacity. (Give an exact answer.) Determine intrinsic growth rate. (Give an exact answer.) (b) Consider the following logistic growth equation. dN/dt = 4N - 0.04N^2 Determine the carrying capacity. (Give an exact answer.) Determine intrinsic growth rate.

1. y = x + 1 InputOutput 8 19 -8 2. 2 y = 10 x - 2 y = x y 0 1/5 1 3. Graph the equation 6X+y = 6 4. Graph the equation X =6 5. Find the slope of the line passing through the given point, when possible. (If an answer is undefined, enter UNDEFINED.) (0, 0) and ( 8 , 9 ) 6. Determine whether the lines through each pair of points are parallel,

A satellite orbiting the Earth is rotating twice a minute. As the satellite turns, an instrument on the side of the satellite is periodically heated by the sun, then cools as it moves into the shady side of the satellite. The instrument reaches a maximum temperature of 50 o C and a minimum temperature of -10 o C. Supposing that t = 0 corresponds

(8) Let A and B he sets and let f :A > B. Dene a relation on A by x N y if f (x) = f (y) Prove that N is an equivalence relation. (9) (continued from the previous question) Dene a function g : (A / N) > Ran( f ) by g([x]) = f (x) Prove that g is well-dened (i.e. that g([x]) only depends on [x], not on x), and that g is a bijection. (10) Let A and
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Please help with this problem. use the coding matrix A = 1 -1 0 and its inverse A -1 = 0 1 2 to write a cryptogram for 3 0 2 -1 1 2 -1 0 -1 0 -1 -3 the message. S T A Y _ W E L L 19 20 1 25 0 23 5 12 12 Use 19 25 5 20 0 12 1 23 12

1.Your boss hands you the monthly data that show the number of orders coming in to and out of the warehouse. The data are in the table below. Explain to your boss, in complete sentences, the solution to this system and what the solution represents. January ----3 ---- 3 February --- 6 ---- 4 March --- 9 ---- 5 April ---- 12 ----- 6 2.. The

MATH 321: Final - Take Home Friday, December 22, 5 pm Show all appropriate work. Variables may represent any real number. 1. Update your Runge-Kutta function from the last exam so that it can solve a system of n coupled first order order differential equations (not necessarily linear). (a) Consider the IVP y (4) 8x2 y 000 y 00 + (y 0 )2 xyy 0 =

2 -4 MATH 163 A 1. (a) 4 -2 -2 -4 -4 ASSIGNMENT #3 (b) y 4 2 (c) y 2 -2 2 x 4 -4 -2 2 x 4 -4 -2 2 -2 -2 -2 -4 -4 -4 (d) y 2 x -4 4 (e) 4 (f) For each one of the graphs above, select the function from the list below that best describes the graph. (1) f x 1 x (5) f x x 1 2. (2) f x x 3 (3) f x 2 x 2 (4) f x x 3 (6) f x x 2 (7) f x x 3 2 (8) f x 2 x

Factoring- Factoring Strategy Objective: Identify and use the correct method to factor various polynomials. With so many different tools used to factor, it is easy to get lost as to which tool to use when. Here we will attempt to organize all the different factoring types we have seen: Greatest Common Factor Factoring by Grouping Factoring

Can someone help me with these questions? The change of basis questions are pretty confusing. 1. (a) Find the transition matrix P\"; from the basis % to the standard basis 9:, where 83 = {(1, 2, 1), (0, 3, 2), (1, 0, 1)}, Q: :{(1,0,0), (0,1, 0), (0,0,1)}. (b) Compute Paar- (c) Use Pang to nd [(13% where :1: : (4,8,4). 2. (a) Write the standard
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Math 311W: Discrete Math Homework 4, due on Wednesday, Feb. 8 1. (i) Find the multiplication tables for Z5 and Z6 . (ii) Based on what you see in these tables, list all the invertible elements and zero-divisors in Z5 and Z6 . 2. For each of the following congruence classes [a]n , decide if it is invertible. If yes, use the Euclidean algorithm to

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'9'. 'I point 33(2: 3) _ 24st: 3) When simplied, the quotient T (a: + 1)(m + 2) (.1: + 1)2 $+ b:t+o can be written in the form , where there are no brackets. The value of e. is {write this as your rst digit) The value of h is (write this as your second digit) The value of o is (write this as your third digit) Your EHSWEF
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Math 132, Spring 2017 Quiz 3 February 21, 2017 For all 10 a.m Sections "vw enough work to make it clear how you got your answcn DO N OT use any methods except those discussed so far in this course. 1. Using any method, find fa: cos2x da: 2. any , find. fsin3 as cos4x da

Engineers have proposed a single span suspension bridge across 8-km wide straight. The plan includes suspension towers 360 meters high at each end. Use the Trapezoidal approximation (n=4) to estimate the total length of the cables (in meters) that is given by the following equation. Round intermediate and final answers to the nearest
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an eCONCORDIA EXAMINATION Department of Mathematics & Statistics Course Number MATH Section 209 Examination EC Date Final Pages August 2015 Instructors 3 Course Examiners Dr. Hal Proppe Dr. Hal Proppe Dr. Fred E. Szabo Dr. Fred E. Szabo Special Instructions Only approved calculators are allowed. . Justify all your answers. Evaluation . MARKS sh is

Engineers have proposed a single-span suspension bridge across 8-km wide strait. The plan includes suspension towers 360 meters high at each end. Use the Trapezoidal approximation ( n = 4 ) to estimate the total length of the cable (in meters) that is given by L=2integral s 0 sqrt1+ 4H 2 /S 4 x 2 dx I hope I got the formula right it is hard to
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I struggle with order of convergence and functions, could you show me how I do that? Problem 2 Assume we have a sequence of estimates {In } -> x* with true errors: Et,n = a* - In). What is the order of convergence of {On } for the following cases? (Note: we are interested in the order of convergence of the sequence, not O() convergence. ) a)
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LAB 3: FUNCTIONS OF SEVERAL VARIABLES, PART B (c)2017 UM Math Dept licensed under a Creative Commons By-NC-SA 4.0 International License. 1. Objectives and Expectations for Lab 2, Part B Part B of Lab 2 contains less guidance. You are expected to answer problems that are more challenging than the ones in Part A. The material covered and the

Determine the open intervals on which the function is increasing and on which the function is decreasing. Enter to indicate the interval is empty. f ( x )= x^2 - 4x +1

MATH 107 QUIZ 2 April 2, 2017, Instructor: E.Avram NAME: _______________________________ I have completed this assignment myself, working independently and not consulting anyone except the instructor. INSTRUCTIONS The quiz is worth 100 points. There are 9 problems. Problem #8 has 20 points. This quiz is open book and open notes. This means that

Michael has a weighted high school GPA of 3.12.Assume that the distribution of GPA's in his school is normally distributed with a mean of 2.7 and a standard deviation of 0.55.Kami's high school uses unweighted GPA's, and she has a GPA of 3.57.Assume that the distribution of GPA's in her school is normally distributed with a mean of 2.65 and a

1)A baseball player swings and hits a pop fly straight up in the air to the catcher. The height of the baseball in meters t seconds after it is hit is given by the quadratic functionh(t)=4.9t2+29.4t+1. How long does it take for the baseball to reach its maximum height? What is the maximum height obtained by the baseball? 2)Farmer Ed has400 meters

Mathematics 30-1: Module 7 Assignment G5: MODULE 7 LESSON 5 ASSIGNMENT (Multiplying and Dividing Functions) 130 marks 1. Given f(x) = x - 3 and g(x) = -2x + 2, state the function and graph h(x) = (f . 9)(x). State the domain and range of the combined function. Answer: (4) 2. Given f(x) = tan x and g(x) = sin x, graph y = - x . State the domain and
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1. What is the name of your dataset? 2. Choose and write down the name of any quantitative and continuous variable from your dataset and use Excel to calculate the mean, median, mode, min, max, range, variance, and standard deviation for that variable. Paste the results into your main post (or use Add/Remove to attach them). a. Which measure of
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Historical records indicate that X is a normally distributed random variable with a mean of $1400 and a standard deviation of $120. The analyst decides to engage in repeated sampling by conducting surveys in each of the 50 US states.Each sample will consist of 100 PayPal customers. (a)What is the probability that the average amount by which

A graphing calculator is recommended. A fish swims at a speed v relative to the water, against a current of9mi/h. Using a mathematical model of energy expenditure, it can be shown that the total energy E required to swim a distance of18miis given byE(v) = 2.73v 3 18 v9 . Biologists believe that migrating fish try to minimize the total energy

its an answer please type it . i cant read handwritten A is paid + A is heemilian by def. Now Bis abo helmet wan. ABN = du. and 1 70 A = AT = A* B = BT = B* 1 x , ) = = ( All, 6 ) 70. and real Heno, FD ( x, BX ) + 0 . andif
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Enterprise Industries produces Fresh, a brand of liquid laundry detergent. In order to manage its inventory more effectively and make revenue projections, the company would like to better predict demand for Fresh. To develop a prediction model, the company has gathered data concerning demand for Fresh over the last 30 sales periods (each sales

any help with any of these would be great, thank you! 1. (2 points) Find the slope of the tangent line at t = 1 for the parametric curve given by $05) = feet and y(t) = t + cos(t). 2. (4 points) Find an equation of the tangent to the curve given by 33(t) = and y(t) =152 2t at the point t = 4. 3. Given the following graph of a function f(:c): a. (1
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Module 07 Written Assignment - Solutions 1 There are five exercises in this assignment, one per page. Use as much space as you like to answer the following exercises. Put your answers in the green-edged boxed provided. 1. Let X ={2,1, 0,1 } and Y ={2,1, 0,1 } . Define a function F : X Y follows: 2 F ( x )=x + x1 . Prove that F is neither 1 - 1 nor

3 Systems of differential equations Theorem 3. Any n linearly independent vectors in an n dimensional space V must also span V. That is to say, any n linearly independent vectors in an n dimensional space V are a basis for V. PROOF. Let x 1, x2 , ... , xn be n linearly independent vectors in an n dimensional space V. To show that they span V, we

3) (20 pts.) (Section 6.4 in book) A professor determined that the grades on a stats test are normally distributed with mean grade of 68 and standard deviation of 15. a) If Anna scored a 75 what z-score does this correspond to? b) If Mohammed's grade corresponds to a z-score of 1.25, what is his grade? c) The top 12% of scorers will receive the

How many times does the graph of a parabola intersect the Y axis? How many times does it intersect the X axis?

61/2 Discrete Structures Homework 6 Due 2/22/17 Suggested Exercises from Section 7.1. (Do not hand in.) ? 19 21, 22 24 ?? 26 30, ? ? ? 31, 33, 56 66 Suggested Exercises from the book, end of Section 7.2. (Do not hand in.) ? 29 35, ?? 36 39, ? ? ? 51, 52. Problem 1 ? Let c(n) be the number of ways that we can place n 0s and 1s around a circle,

Name: Date: School: Facilitator: 9.04: Area of Triangles Calculate the area either using or . 1. Find the area of the triangle: Identify which formula to use: Show your work: 2. Find the area of the triangle: Identify which formula to use: or Show your work: 3. Find the area of the triangle. We are going to break this one down into steps. a.

After spending too much money on credit card interest last year, Alana applied for a new credit card that had a lower interest rate of 16.9% compounded daily. The terms of her new credit card are similar to her old one: For any payment she makes within a month from the date of purchase, she will be charged no interest. However, if she does not pay

1. Consider the function of two variables defined by p f (x, y) = 1 x2 + y 2 , x R, y R . (a) Compute the level sets f (x, y) = c for levels c = 0, 12 , 1, and use these to construct a sketch of z = f (x, y). Describe the surface and mention or label its important features. (b) Find the partial derivatives f (x, y) and x f (x, y) . y (c) Find

Office 2016 - myitlab:grader - Instructions Excel Project Excel Ch 2 Grader Project - Exam Project Description: Assume that you are a political science major and have been asked to analyze some demographic data pertaining to U.S. Presidents. Your worksheet needs to evaluate several criteria, while implementing a variety of cell formats and styles.

Solve the equation. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.) y y 1 = y 3 y the boxes indicate division, so : (y-3)/(y)

Form a polynominal f(x) with real coefficients having the given degree and zeros Degree 4; Zeros: 2 , Multiplicity 2; 4i

Businesses can buy multiple licenses for a data compression software at a total cost of approximately C ( x ) = 84 x 2/3 dollars for x licenses. Find the derivative of this cost function at the following. X=8 X=64

BigCo's Chief Financial Officer is trying to determine a fair value for PrivCo, a non-publicly traded firm that BigCo's is considering acquiring. Several of PrivCo's competitors, Ion International, and Zenon are publicly traded. Ion and Zenon have price-to-earnings ratios of 20 and 15, respectively. The Ion's and Zenon's earnings per share are
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The following is a sinusoidal graph passing through the points A,B,C,D,E. Explain how you could determine the period of the function above using the coordinates? Please see attached. 2 questions. own\" 1 7 Use the following Mammalian to answer the queation. Nut 5!!! answer! The following is a sinusoidal graph passing throughthe points A, B, C, D,
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I got this question wrong help me with the correct answer Question 10 Incorrect {11.1110 points out of 4.01:] I? Flag question Do bonds reduce the overall risk of an investment portfolio? Let x be a random variable representing annual percent retum for the Vanguard Total Stock Index (all Stocks). Let y be a random variable representing annual
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In a competition between players X and Y , the first player to win three games in a row or a total of four games wins. how many ways can the competition be played if X wins the first two games? (Draw a tree.) 3. In a competition between players X and Y, the rst player to win three games in a row or a total of four games wins. how many ways can the
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OWWW w maxim ' a; muscmumsmum xYEwm-am st 55W 'uY-w'w'mmmm \\ - X e E- e 0 iG)mumhassugmust/web/smdem/AssygnmentRespunses/Iasthepm5173513 til 0 0 Assignment Scoring Your last submission is used for your score. Ifz = f(x, y), where f is differentiable, and X = 90-\") y = W) 9(9) = 2 h(9) = 1 g'(9) = 9 h'(9) = 7 fX(2, 1) = 9 M2, 1) = 4 nd dz/dt when
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I need the answer and show the work, how how to solve What will be the price of a $20,000 car in 5 years if the inflation rate is 6%?

Calculus of variations assignment. Kindly solve as soon as possible. Thank you Question 3 - 22 marks (a) Show that the equation and boundary conditions dr 2-2 + Ary =0, y(1) = 0, y'(2) = 0, (1) form a regular Sturm-Liouville system. Show further that the system can be written as a constrained variational problem with functional shul = [ dizzy?,
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Donnie Smith Assignment Section 6.5 due 04/13/2017 at 11:59pm MST 1. (1 point) Given the following integral and value of n, approximate the following integral using the methods indicated (round your answers to six decimal places): Z 1 Sharma MAT 266 ONLINE B Spring 2017 \u0011 2 e5x dx, n = 4 = Midpoint = \u0010 0 (a) Trapezoidal Rule (b) Midpoint

I. Matching 1. Increasing 2. Decreasing 3. Critical Number 4. Concave Up 5. Concave Down 6. Inflection Point 7. Antiderivative 8. Indefinite Integral 9. Constant of Integration 10. Definite Integral 11. Limits of Integration 12. Fundamental Theorem 13. Stationary 14. Relative Extrema 15. Absolute Extrema 16. Integral of e x 17. Integral of dx/x

Hello everyone, I am trying to get some homework help on the following question attached below. If someone could show me how to solve it step by step, that'd be greatly appreciated. Thanks! 4. For the op-arnp circuit shown in Fig 4: a. Find the differential equation for the circuit output, V0 (t), in terms of R1, R2 and R3 if Vs = u(t). b. Find
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In this question we will show that Euler's method is a first order scheme. Consider the ODE y' = f(t,y) , y(t0) = y0 where we assume that f, ... Send me email if you know how to solve all my ODE question that I posted. 3. (25 points) In this question we will show that Euler's method is a rst order scheme. Consider the ODE {y; = f\": y): 1930) =
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A horticulturist wants to test the effectiveness of four types of fertilizer on the growth rate of Bermuda grass. Six sections of grass are randomly assigned to each of the four fertilizer types, and the rate of growth for each section is measured. An ANOVA F-test rejected the hypothesis of equal means. Each pair of means were then compared, and

Three workers (8-hour work shift) were monitored for work in different areas of a facility using calibrated noise dosimeters. The results are summarized in the following table. Time for MonitoringWorker 1Worker 2Worker 3 3 hours80.5dBA98.5dBA92.5dBA2 hours81.0dBA86.5dBA85.0dBA2 hours82.0dBA84.5dBA83.5dBA1 hour95.0dBA83.5dBA80.0 dBA a. Calculate
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College Algebra MATH 107 Spring, 2017, V.1.16 MATH 107 FINAL EXAMINATION This is an open-book exam. You may refer to your text and other course materials as you work on the exam, and you may use a calculator. You must complete the exam individually. Neither collaboration nor consultation with others is allowed. Record your answers and work on the

i need perfect and correct answers plz do correct and please write answers on paper 2. Prove the following statement by induction [3 marks]. For all nonnegative integers n, 3 divides no + 5n + 1. State the mathematical induction and show your work clearly. [6 marks] Upload File 3. Students are required to create 5 or 6-character long passwords to
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please help me with these T/F questions Hint: Zn = {0, 1, 2,... n-1} Z n * = {a in Zn : gcd(a,N) = 1} For any n and g, if g is a generator of Z n *, then g is invertible (mod n). For any integers n and g,h in Z n , if g and h are generators of Z n *, then their productg*h is invertible (mod n) For any integers n and g,h in Z n , if g and h are

WHERE ARE THE JOBS? One of the driving forces for getting a college education is the student's desire to become qualified to work in a career of their choosing. The United States has recently suffered a pretty intense economic recession (if not an outright depression) beginning in the latter stages of the 2000s when housing prices began to plummet

Customer Method of Payment 1 Visa 2 Master Card 3 American Express 4 Cash 5 Other 6 Visa 7 Master Card 8 Master Card 9 Master Card 10 Cash 11 Cash 12 Cash 13 Cash 14 Cash 15 American Express 16 American Express 17 American Express 18 American Express 19 Visa 20 Visa 21 Visa 22 American Express 23 American Express 24 Master Card 25 Other 26 Other

Math 246 Homework Assignment Six Do the following problems showing all your work. Be sure to submit your solutions in PDF format to the Assignment area of LEO. (Point values are given in the square brackets.) 1. [5] Use elimination to solve this system for , (): ! + ! = 5 ! + ! + = 1 2. [5] Use elimination to solve this system for , , (): ! = + 2

Determining the right answer between 4 choices. Rational expressions and equations 1 4 1:2 + +1 Roman substitute x=-2 into the rational equation I + 3 :c 2 I: + I Er as shown balm-c Right Side lI.I"i|'hat conclusion can Roman clraiul.r from the work above? Select one: rt\". a. IiiI is a solution for the rational equation. r'j b. -2 is a solution
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Let R denote the set of real numbers. Show that R R R. (1) Show that the function :R R R given by (x) =(x,x) is injective. (2) Let f : (0,1) (0,1) (0,1) be defined as follows. Given (x,y) (0,1) (0,1), we write x=0.x 1 x 2 x 3... and y=0.y 1 y 2 y 3 .... using their infinite decimal expansions (i.e., expansions that do not end with infinitely many

I am really struggling with this proof and would appreciate help. Thank you! 5 Rex. Paulo and Ben are standing on the shore watching for dolphins. Paulo sees one surteoe directly In horn-of him about a hundred test away. Use the spaces provided belowr to prove that the square of the distance between Rex and Ben is the same as the sum ofthe squares
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An object undergoes three consecutive displacements given by vectors 1 = [3.0 4.0 2.0] cm, 2 = [1.0 7.0 4.0] cm, and 3 = [7.0 4.0 1.0] cm. a) Find the resultant displacement vector of the object. (2.5 Marks) b) Find the magnitude of the resultant displacement. (2.5 Marks) c) If the object was initially located at 0 = [5.0 1.0 2.0] cm, find the

The volume of fuel in a tank changes at a rate given by the equation V ( t ) = ( 4 t ) / c u b e r o o t ( t 2 + 3 ) , t>=0 At t = sqrt(5) hours the tank holds 9.2 gallons. What is the volume of fuel in the tank after 7 hours? Round answer to one decimal place.

If an airplane is moving at velocity v , the drag D (in N ) on the plane is D = a v 2 + b / v 2 ,where a = 5. 0 10^-3 and b = 3.08 10^8. Find the value(s) of v (in km/h), for which the drag is the least. Round the answer to one decimal place.

What is the depressed polynomial of (x^3 - 5x^2 + 13x - 14) / (x-2)? a. x^2 - 2x - +1 b. x^2 -3x +7 c. x^2 -4x +9 d. x^2 -7x +27 2. According to the rational root theorem, which of the following are possible rational roots of 3x^3 + 2x^2 + x -4 = 0 Select all that apply -2/3 -3/4 1/3 1/4 2. According to the rational root theorem, which of the

1. A country has 120 years of iron reserves at the current rate of consumption. Suppose that the demand for iron in the country is 6,000,000 tons per year. Furthermore the iron is consumed at a rate that increases 6.1% per year. (a) How long will the iron reserves last? (b) Suppose a recent discovery has doubled the quantity of iron reserves. Now

Compute and interpret the mean of the random variable X and: mu Emu\"BS 1333...? gang.9. cmnwcmm . u: 02: 33393;? m3 372$... a man __ u __S_:m,,
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Inverse functions Given the function f(x)=2x-8 find the formula for the inverse function

Linear Modeling Find a unique set of linear data, create a scatterplot of the data, apply curve-fitting techniques to find a linear model of the data, assess the fit of this linear model to the data and interpret the results. (1) Find a unique set of Linear Data .... describe the topic, provide a table or list of data (at least 8 data points), and

# 2: Excel's Solver utility can also find an optimum solution involving more than one variable. We will use Solver to nd the best t of a straight line yield curve for some bond prices (more information on Solver is available in the previous assignment, or in the online tutorial). You are to calibrate a straight line yield curve where J10) = yo +

Math Help 1) Solve the triangle. A = 46, a = 31, b = 27 a) B = 38.8, C = 115.2, c 34.3 b) B = 38.8, C = 95.2, c 25.7 c) B = 38.8, C = 95.2, c 42.9 d) Cannot be solved 2) State whether the given measurements determine zero, one, or two triangles. A = 36, a = 3, b = 9 a) Zero b) Two c) One 3) Two triangles can be formed with the given information.

1.A public opinion researcher has a budget of $20,000 for taking a survey. She knows that 90% of all households have telephones. Telephone interviews cost $10 per household; in-person interviews cost $30 each if all interviews are conducted in person, and $40 each if only non-phone households are interviewed in person(because there will be extra

For the equation, find dy / dx evaluated at the given values. x 2 y + y 2 x = 0at x = 1 , y = 1 (show work) 2. A large snowball is melting so that its radius is decreasing at the rate of 2 inches per hour. How fast is the volume decreasing at the moment when the radius is 5 inches? [ Hint: The volume of a sphere of radius r is V =43 r 3 .] (Round

Mat 140: Bonus Sheet 1 Name: Instructions: Circle one of the options below. You may choose only one. You can decide which option you want after the final exam. Turn in this assignment with the final. 1. Replace the lowest test grade with the final exam, if the final exam grade is better than the lowest test grade. 2. Apply the worksheet as raw

Form a seven-letter word by mixing up the letters in the word PICTURE . (a) How many ways can you do this? (b) How many ways can you do this if all the vowels have to be at the beginning? (c) How many ways can you do this if no vowel is isolated between two consonants?

4. Shipping boxes come in various sizes and shapes. Consider a box with a square base, whose base iengtb must be greater than 5 cm. The volume in cubic centimetres+ V, of this box is given as 1.1x} : 3x3 + 24x2 +15): 150. I height x+5 a. Write a combined function to represent the area of the base, Apt}, if the side length of the base Ex+5 Answer:
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Math 215: Calculus 3, HW2 Due date: 9/26 or 9/28 60 u v |u| = 4, |v| = 3, and the angle between 1. In this \u001cgure them is 600 as shown. Find the magnitude of u v and determine if the cross-product is pointing into the page or out of it. 2. Find the equation of the plane through the points P : (1, 1, 1), Q : (2, 3, 2), and R : (1, 1, 1). Begin

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