Mathematics Questions and Answers November 06, 2020

Remaining Time: 1 hour, 55 minutes, 11 seconds. Question Completion Status: QUESTION 3 5.1 points Use sets to solve the problem. Mrs. Bollo's second grade class of thirty students conducted a pet ownership survey. Results of the survey indicate that 8 students own a cat, 15 students own a dog, and 5 students own both a cat and a dog. How many of

How to solve ? Let f be the function below. You may click on the graph to make it larger. Use interval notation to indicate where f is continuous. Answer: 0

Instructions: You are encouraged to work with other people from this class on this worksheet, but you must turn in your own worksheet by the due date at 11:59pm on Gradescope. When you submit your work to Gradescope, be sure to clearly 1 early label your questions. Each part of a question is worth one point unless otherwise indicated. SHOW ALL

D Question 2 Law of Sines is best used to solve a Triangle with what given information: (choose all that apply) O ASA O SAA O SSA O SAS SSS D Question 3 Identify the equation as representing a circle, ellipse, hyperbola or parabola. -9x2 + 16y2 + 64y - 512 = 0 O hyperbola O ellipse O parabola O circle Question 4 5 pts Use Heron's formula to find

The total accumulated costs C(t) and revenues R(t) (in thousands of dollars), respectively, for a photocopying machine satisfy 1 _ C'it)=t5 and R'(t)=5t5e is where t is the time in years. Find the useful life of the machine, to the nearest year. What is the total profit accumulated during the useful life of the machine? The useful life of the

A manufacturer guarantees a product for 1 year. The lifespan of the product after it is sold is given by the probability density function below, where t is time in months. f ( t ) = 0.012e - 0.009t ift2 0 o otherwise What is the probability that a buyer chosen at random will have a product failure (A) During the warranty? (B) During the second

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Consider the following limit statement: a Ii m I: 2 ;:-.. t3. 1' = E: .X. _. I'- Find the corresponding value of 5 when E = 0.001

Question 2 Not yet answered Marked out of 1.00 '1." Flag question Use the information below to answer the following question. | The appearance of the graph does not change under a reflection in the y-axis. || The appearance of the graph does not change under a reflection in the xaxis. ||| f(x) =f(x) IV f(x) = f(x) Identifyr the correct statements

(1 point) Indeterminate Expressions of the Form 0/0: Find the indicated limits. Make sure you have an Indeterminate Expression before you apply the Rule of L'Hopital. Enter the letter "D" if the limit does not exist. sin x lim 1-0 1 lim +0 e -I lim I- sin(x) 2+ 5x + 6 lim -2 x - 2 x + 5x + 6 lim = I- $2 x - 2

Use the seconddegree Taylor polynomial for f(:c) = 1m: at it = 4 to estimate

Use the seconddegree Taylor polynomial for at c 4 to estimate

Question 5, 14.1.19 HW Score: Part 2 of 6 points X Points: For the given function, complete parts (a) through (f) below. f ( x,y) = 16x2 + 92 (a) Find the function's domain. Choose the correct answer below. A. The domain is the entire xy-plane. X B. The domain is all points (x,y) satisfying 16x2+ 9y2 - 1. O C. The domain is all points (x,y)

Find the largest open intervals on which the function is concave upward or concave downward, and find the location of any points of inflection. f( x) =2x*+ 12x- 216x-+24x-9 Select the correct choice below and fill in the answer box(es) to complete your choice. (Type your answer in interval notation. Use a comma to separate answers as needed. Use

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Number 21 SHOW WORK PLEASE 21. (10 points) A closed cylindrical can has a surface area of 80 square cm. Determine t radius of the can that will maximize volume. Volume = 172h Surface Area = 2nr2 + 2rrh

If h(x) = xxex, then h'(x) equals O et (a) x Vxet 21/x O (b) x3/2ex O (c) 3 x1/2ex ( d ) 2 x 1/2 ex + x 3/2 ex N

A disc spins at 1542 r/min when the innermost edge is being read by the laser, and gradually slows to a rate of 635 r/min at the outer edge. Use an inequality to express the angular velocity @ of the disc. Write a single inequality to express the angular velocity @ of the disc. r/min

Fill in the blanks so that the resulting statement is true. Consider the statement 2 + 4 + 6 + ".. + 2n = n(n+ 1) If n = 1. the statement is 2 = 1(1 + 1). If n = 2. the statement is 2 + 4 = 2(2 + 1). If n = 3. the statement is If n = k + 1. the statement is Choose the correct terms below. Consider the statement 2 + 4 + 6+ ... + 2n = n(n + 1) If n

Find the exact values for sin 0, cos 0, and tan 0. 4 sin 0 = COS 0 = tan 0 =

Find the derivative of the function. 5) y x3 X1 df. dx

Find the function represented by the power series. Find the values of x for which this is true. Find the function represented by the power series. Find the values of x for which this is true x +9 n n=0

how would I solve this? (please include the answer as text course hero won't let me open pdf) lil (b) (Section 4.4) Optimization Due Thu 11/30/2023 11:59 pm A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 400 cubic centimeters of soup. The sides and bottom of the container will be made of styrofoam

Consider the volume V of the solid generated by rotating the region bounded byy = sin(x) forx E [0, g], and y = 1 around the yaxis. In this problem you may use any formula from lectures. (a) (1 point) Sketch the region of interest. (b) (3 points) Express the volume as an integral with respect to x by slicing the region x E [0, 7r/2]. (c) (3

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Help The number of applications for patents, N, grew dramatically in recent years, with growth averaging about 4.6% per year. That is. N'(t) = 0.046N(t) a) Find the function that satisfies this equation. Assume that t=0 corresponds to 1980, when approximately 109,000 patent applications were received. b) Estimate the number of patent applications

Evaluate the integral. (Use C for the constant of integration.) (13x + 7x3) dxEvaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) ( v - 2 + 2 v - 1 ) dvEvaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) " ) duEvaluate the

1) For time t 2 0, the function C = ate- with positive constants a and b gives the concentration, C, of a drug in the body. The figure below shows the maximum concentration reached (in nanograms per milliliter, ng/ml) after a 10 mg dose of the cough medicine hydrocodone bitartrate. Find the values of a and b. C (ng/ml) 22.9 1.6 t (hours)The cost

(2 points) (a) Let f(x, y) = xy' - re"+ r'. Find a function g(r, y) such that the vector field F(x,y) = (f(x, y), 9(r, y)) is conservative. (b) Let C be the piece of the curve y = va from (0, 0) to (4, 2), followed by the straight segment down to (4,0), and then a straight segment back to (0, 0). Compute fo f(z, y) de by arguing (via the FTLI)

Given: [x is number of items D513 Demand function: dim] = Suppty-r function: SEE!) = 213% Find the equilibrium quantity:| | items Find the producer surplus at the equiLibrium quantity: 5|

Find the derivative of the following vector-valued function. r (t) = Vt - li + (e2t sin t)j + (test)k

Hello tutors, can I get help with the following : In the problems in this section, each series is a geometric series. For each one, say whether it converges or diverges. And if it converges, compute what it converges to.

Worksheet A: (Topic 2.1) Arithmetic and Geometric Sequences Name: Sol Mcokes Directions: For each of the following, determine if the given sequence is arithmetic, geometric, or neither, 1. 12, 7, 2, - 3, - 8, ... 2. 5, 10, 20, 40, ... 3. 20, 10, 5.2 arithmetic g cometric * 3'7. ... 5, 1, 1, 2, 3, 5, 8, 13, ... 6. b =1$3 0 1 1 2 35 2 Neither

Use Volumes by cylindrical shells method Volumes by cylidrical shells: Problem 4 Previous Problem Problem List Next Problem (1 point) Use the method of cylindrical shells to find the volume of the solid obtained b y rotating the region bounded by the curves y = x2, y = 0, x = 2, and x = -1 about the y-axis. Volume =

Verify the following identity. tan X + cot X = 2 csc x 2 Which of the following four statements establishes the identity? 1 + cos x O A. tan 0| X + cot NIX + = 2 csc x sin x COS X X 1 + cos x 1 + cos x + cot X O B. tan = =2 csc x 2 sin x sin x x 1 - COs X 1 + cos x O C. tan + cot = = 2 csc X 2 sin x sin x O D. tan X 1 - COS X 1 + cot X = = 2 csc x

Problem 2. Determine whether the following series converge of diverge using a comparison test. (a): "C 1 "ENE-1 (b): (d)

12) FIND 2 REAL LINEARLY INDEPENDENT SOLUTIONS OF *- 44 + 134 = 0

FIND dll 134 O

7. [-/1 Points] DETAILS EPPDISCMATH5 5.1.036. When m = 1 , m . (m + 3) (7m + 2) . (m + 5), Need Help? Read It Watch It Submit Answer 8. [0.5/1 Points] DETAILS PREVIOUS ANSWERS EPPDISCMATH5 5.1.038. Write the following expression as a single summation in terms of k. k m+1 = m + 1 v v k+8 m + 9 Need Help? Read It Submit Answer 9. [-/1 Points]

Use Divergence Theorem to compute the net outward flux for F = (x2, y2, z?) where S is the cylinder {(x, y, z): x2 + y? = 4,0

Question 6 > Solve the equation given. Enter all solutions, in degrees, that lie in the interval [0, 360). Do not enter the degree sign. If there are more than one angle, separate them by a comma. 2 cos B + 5 cos B - 3 = 0 B = Submit

Homework 6.1 Using Defini The area between the curves is | 4.5 square units. Question Help: Video Submit Question Question 7 0/1 pt 5 30 25 @ Details Find the area between y = 2x + 3 and y = x2. Round your limits of integration and answer to 2 decimal places. The area between the curves is Question Help: Video Submit Question Question 8 2/2 pts O

Evaluate the following integrals: 1) sin2xdx 2) cos2(2x)dx 3) cos10xsinxdx 4) sin8xcos3xdx 5) sec7xtanxdx 6) tan9xsec4xdx 7) sin(5x)cos(3x)dx 8) sin(7x)sin(5x)dx

Can someone help me how to solve step by step The concentration, C(t), of phenylbutazone, in micrograms per milliliter, in the plasma of a horse injected with this anti-inflammatory agent is approximately C(t) = 51.6 e -0.0137: where t is the number of hours after the injection for 0 S t

Derive by hand the expression for the divergence of the vector A = x 2x^2 +y 3y^3+ z 4z^4 using Cartesian coordinates, including the necessary steps (2 points). Then evaluate your expression at the point (1, 1, 1) (1 point). (3 points total.)

Please help me to solve? A baseball team plays in a stadium that holds 56000 spectators. With the ticket price at $12 the average attendance has been 21000. When the price dropped to $9, the average attendance rose to 28000. Assume that attendance is linearly related to ticket price. What ticket price would maximize revenue? $

Determine the area of the right half of the cardioid formed by r = 9 + 8 sin 0 18 16 14 12 10 -2 -15 -10 -5 5 10 15 Area of cardioid right half is Submit Answer Incorrect. Tries 2/8 Previous TriesDetermine the area outside the black graph given by r(0) = 2 + 3 cos 6 and inside the red graph given by r(0) = 7 cos 6. Area is Submit Answer Tries 0/8

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O words D Question 19 5 pts Graph the parabola on your submission paper. Identify the vertex, focus, directrix and axis of symmetry. (x - 4)2 = -4(y+3) Edit Format Table 12pt * Paragraph ~ B J U A v Q V Try DV RC BE3 0 words Question 20 5 pts The longest span of the Brooklyn Bridge is suspended from cables supported by two towers approximately

What are the missing values? Gym Membership Number of Months| Total Cost ($) 2 120 5 8 300 12 420

Help dA Find the general form of the function that satisfies = 2A. dt A(t) =

Findthe genefal form of the

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21. The remainder when 4x3 + 2x - 1 is divded by x + 2: a. 35 d. -37 C. -29 d. 0 22. The exact radian measure of 75" is: 5 b. 12 12 15 13 C. d. 24 12 23. The solution for =0 is: a. 12, -3 b. 4, -3 c. 12 d. no solution

The perimeter of a rectangle is 16.6 km, and its area is 13.8 km-. Find its length and width

2 The perimeter of a rectangle is 16.6 km, and its area is 13.8 km Find its length and width.

2. (15:1,2,2,5, 1,1,3) Let f (x) = 2x5 - 3x4 - 98x3+148x2 - 49. e. Write f(x) in factorized form. a. Use Descartes' rule of signs to find the possible number of positive real zeros. f. List the y-intercept and x-intercepts of b. Use Descartes' rule of signs to find the possible number of negative real zeros. f(x). c. Use the rational zeros theorem

7. [0/1 Points] DETAILS PREVIOUS ANSWERS Math 110 Course Resources - Definite Integrals Course Packet on substitution for definite integrals "In(7)/2 -2x Compute (e2x + 6)5 Ox. X Submit Answer 8. [0/1 Points] DETAILS PREVIOUS ANSWERS Let f(x) be a differentiable function with the following values: X 2 3 4 6 8 12 f(x) -5 3 2 4 1 9 Evaluate each of

8. The graph of f'(x), the derivative of the function f(x), is shown in the figure below. Which of the following statements about f (x) at x = -2 is true? Graph of f' a. f (x) is not continuous at x = -2 b. f (x) has an absolute maximum at x = -2 The derivative of f (x) does not exist at x = -2 d. The graph of f(x) has a point of inflection at x =

Graph the function defined by the equation f(x) = x 2 x 2. Find the intercepts, vertex and tell whether the vertex is a maximum or minimum point. Indicate the domain and range

please help to study for my exam! Show all work this isn't anyone's work this is a question that I need help on I'm not sure why you would report it as academic integrity! 39) Sketch the graph of each function. Include two full periods. Label any asymptotes and find the domain of the trigonometric function. y=5sin2x y=3sinrrx y: 35in(2xH)+1

66 3.1-3.2 Using Derivatives to Identify Extreme Values Examples and Exercises 1. Let f(x) = 13 + 3x2 - 24x - 10. (a) Find the intervals on which f is increasing/decreasing, and find all local maximum and local minimum values of f. (b) Find all intervals on which f is concave up/ concave down, and find all inflection points of f

I have the solutions but it doesn't have detailed explantion. take as much time as you need. Thanks in advance! 2. Find f(t) = C'{F(s)} given that 2 2s (i) F(s) = (ii) F(s) = e-3s 352 + 27 $2 + 35 - 183. Use Laplace transforms to solve the initial value problem y" + 6y'+ 13y = S(t- 4), y(0) = 0, y'(0) = 0. ow 5. Use the chain rule to find when u

Read the instructions carefully and give exact answer. Rating will be given based on quality.

1. The diagonal of a rectangle is 45 cm long and makes an angle of 56 with the shorter side of the rectangle. Determine the length and width of the rectangle to the nearest tenth cm. Be sure to show and explain all work. i U Font Family - AA- A DE . E . E . ONE 2. ADEF is a right triangle with ZDEF = 909, ZFDE = 40 and DF = 122cm What is the

Determine the open intervals on which the graph is concave upward or concave downward. 1. f(x)= 24/x^2+12 2. f(x)= x^2+1/x^2-1 3. g(x)= x^2+4/4-x^2

Find the velocity, acceleration, and speed of a particle with the given position function. r(t) = et(cos(t) i + sin(t) j + 3tk) v(t) = a(t) = IV(t)| =

Problem 12: (4 pts) Determine the radius of convergence of the following power series. Use the Ratio Test or the Root Test or, if it's a Geometric Series, you can use what we know about where Geometric Series converge. If you use the Ratio or Root Test, then test the endpoints to determine the interval of convergence, when appropriate. "'x" .2?

5. (a) Calculate the length of the curve y = x' 3/2 from x = 0 to x = 3. [10] (b) Calculate the volume of the solid of revolution generated around the x-axis by the same curve as in part a), between the same limits. [10]

NDT 9. [0.3311 Points] DETAILS I PREVIOUS ANSWERS LARAPCALC1DE.3.D52. Biology Because of an insufcient oxygen supply, the trout population in a lake is dying. The population's rate of change can be modeled by f = enoe't'ED o't where t is the time in days. When t : 0f the population is 3,300. (a) Find a model for the population. r P") = 3300.; 30

HW Score: 54.2%, 5.96 of 11 points Part 3 of 4 Points: 0.5 of 1 For the given functions, (a) express dw at as a function of t, both by using the Chain Rule and by expressing w in terms of t and differentiating directly with respect to t. Then (b) evaluate - at the given value of t. dw W= - Z ,, x= sin 2 t, y= cos 2 t, z= ;t=3 a. Which of the

Application. the sine function. 9. The following graph shows the velocity of a person's breath while at rest. Express the graph in terms of (2 marks) 10. The depth of the ocean at a swim buoy can be modelled by d(t) = 2sin -1 \+4, where d is the depth of the water (in meters) and t is the time (in hours), where OSt S24, and : = 0 represents

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8. The graph of y= -3sin (~ x) is: A ) B) - 2 TE - IT 2 TE C) D ) AA

Point E is represented by which complex number below? Imaginary A B Real -5 D E C 2- 52 5 - 22 5 + 22 2 + 57

Question 30 A function f has a Maclaurin series given by 2 + 3x + x2 + 2x3 + ..., and the Maclaurin series converges to f() for all real numbers a. If g is the function defined by g (x) = ef(), what is the coefficient of a2 in the Maclaurin series for g ? A B C e2 D He2Question 37 Let h be a continuous function of I. Which of the following could

Find f^-1(x) for the one-to-one function f(x)=-2x+4, and graph f and f^-1 on the same coordinate axes

ind the accumulated amount A , if the principal P is invested at an interest rate of r per year for t years. (Round your answer to the nearest cent.) P = $2800, r = 7%, t = 10, compounded semiannually

Use Green's Theorem to evaluate the line integral along the given positively oriented curve. ye* dx + 2e* dy, JC C is the rectangle with vertices (0, 0), (5, 0), (5, 6), and (0, 6)

-1.5 1.5 2 Write down the area of this slice. (c) (2 points) Using your horizontal slices in part (b), compute now the area of the ellipse. (Hint: You may wish to use trig substitutions). In this question, we are going to use slices to calculate both the circumference AND the area of this shape. (a) (4 points) By dividing the ellipse into four

I am having some trouble with these questions Find a parameterization of the circle x^2+ y^2= 25. Find a parameterization of the function y = x^2 from (2, 4) to (10, 100). Find the length of the curve whose parameterization is r(t) = , 0 t 2

Find all critical points of f (x) = 3 x - 14/7 - 2. Enter your answers below as a list separate by SEMICOLON. For example, 2-5/2 and 3 should be enter as 2^(-5/2) ; 3

This savings plan is an annuity. The future value of the annuity is equal to the purchase price of the car. The future value FV of an ordinary annuity used to accumulate funds is given by FV =PMT/ - where PMT is the payment at the end of each period, i is the interest rate per period, and n is the number of periods. Solve for PMT. (1 + i) - 1 FV =

Find a function f(x) such that f(x) 3e 2x and f(0) (0) 4 f(x) Submit Question

Question 9 Put a dot on the vertex of the parabola below. What is the coordinates of the vertex? Is the vertex a minimum or a maximum? -5 -4 -3 - 2 -1 2 3 4 5 Clear All Draw: Dot The coordinates of the vertex is ( 2 -2 The vertex is a Minimum Maximum

Aplica la segunda derivada para obtener los maximos y minimos relativos. Ademas, determina en que casos los extremos relativos son tambien extremos absolutos. 1. y = x2 - 5x + 6 2. y = 5x2 + 20x + 2 3. y = -4x2 + 2x - 8 4. y = 3x2 - 5x + 6 5. y = =x3 + 2x2 - 5x + 1 6. y = x3 - 12x + 1 7. y = -x3 + 3x2 + 1 8. y = x4 - 2x2 + 4 9. y = 7 - 2x4 10. y =

Every answer will have to be justified. Exercise 1 : (6 points) Match the graph of the rational function given by f(x) = ax + b cx + d with the given conditions : - - - - - - FIG (a) - Exercise 2 - 1. a >0 b0 d0 b>0 c0 c>0 d0 b0 d>0 FIG (b) - Exercise 2

2) (15 pts) The graph of f(x) is shown below: y = f (x) 10 a) Which values of x are critical points? b) At which values of x does f (x) attain a local maximum? c) At which values of x does f(x) attain a local minimum

1. Sketch a possible graph of a function /( X) that meets all of the given criteria below Be sure to label your graph) Continuous everywhere except * = U and * = 2 lim f(x) = -2 and lim f(x) Does Not Exist I-+2

The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = - 161- +218t + 15. The velocity of the ball when at a height of 120 feet is |fu/sec. If necessary, round to two decimal places. If there is more than one correct answer, separate them with commas

For Problems 1-5, prove the statements by mathematical induction. Clearly state your basis step and prove it. What is your inductive hypothesis? Prove the inductive step and show clearly where you used the inductive hypothesis (assumption). 1. [5 Pts] 13+ 23+ .. . + n3 = (n(n + 1)/2)), for all positive integers n. 2. [5 Pts] 1 . 1! + 2 . 2! + . .

10:45 Course MATH 132-CO3 Busin... . . . Problem 5. (1 point) llowing limits: Let F be the function below. Evaluate each of the following expressions: a) lim F(x) = _ help (limits) x--1 b) lim F(x) = _ rage. c) lim F(x) = _ X-- 1 d) F(-1) = _ e) lim F(x) = _ X-+1- f) lim F(x) = _ x-+1+ g) lim F(x) = h) lim F(x) = i) F(3) = Answer(s) submitted: .

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Principal Rate Compounded Time $2500 8% monthly 5years A. Find how much money there will be in the account after the given number of years B. Find the interest earned.

(1 pt) A rectangular storage container with a lid is to have a volume of 6 m. The length of its base is twice the width. Material for the base costs $3 per m-. Material for the sides and lid costs $6 per m2. Find the dimensions of the container which will minimize cost and the minimum cost. base width = m base length = m height = m minimum cost =

content area top Part 1 Find the formula for the function. A point P in the first quadrant lies on the graph of the function f(x)=x^2. Express the slope of the line joining P to the origin as a function of x

Homework 7 [1] {2 points] Find all critical points and classify them via the second derivative test. {a} ay) = 3'92 - 4-19? + 2y {b} ay) = yet - %y'' - my (9} at, 2;) = y sine?)

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A farmer finds that if she plants 90 trees per acre, each tree will yield 35 bushels of fruit. She estimates that for each additional tree planted per acre, the yield of each tree will decrease by 4 bushels. How many trees should she plant per acre to maximize her harvest? tree-s Give your answer rounded to the nearest whole number

4) (15 pts) Define A(x) to be the area bounded by the t axis, the line y = 2t and a vertical line at t = x as shown in the figure below. -A(x) = arca a) Find a formula for A(x). b) Find A'(x) from the formula you found in part a

Can someone help me with this question real quick This questio Find the center of mass of a thin plate of constant density 8 covering the region bounded by the parabola y - , and the line y = 6

For each of the following, set up the integral of an arbitrary function f(x, y) over the region in whichever of rectangular or polar coordinates is most appropriate (Use if for 6 in your expressions.) (a) The region ''i' c:l: 3 landdd: 7 l integral = (x,y) lalx d y (b) The region 1 With : 4%, H0 land d: integral=

5 -4. -2 The function graphed above is decreasing on the interval The inflection point is at $ =

The function graphed above is decreasing on the interval The inflection point is at