Mathematics Questions and Answers October 15, 2020

i need everything explian 10 Compute the values of dy and y for the function y : 32:" l 33: given a: : I] and : : dm : 0.04. Round your answers to four decimal places, if required. You can use a calculator; spreadsheet; browser: etc. to calculate (3; and y. dy : Number y 2 Number

1. (4 points) Estimate xx using lower sum with four partitions.

Current Attempt in Progress Gasoline is pouring into a vertical cylindrical tank of radius 3 feet. When the depth of the gasoline is 7 feet, the depth is increasing at 0.4 ft/sec. How fast is the volume of gasoline changing at that instant? Round your answer to three decimal places. The volume is changing at a rate of i feet per second.Current

Safari File Edit View History Bookmarks Window Help US Q 8 0 Mon Dec 11 4:04 PM O mylab.pearson.com C @ + 88 G P Assignments P Do Homework - HW CH 9.4 Dashboard Content Bb https://learn-us-east-1-prod-fleet01-xy. MATH 2040 B Fall 2023 DONIA Alzoubi 12/11/23 4:04 PM Homework: HW CH 9.4 Question 1, 9.4.2 HW Score: 0%, 0 of 15 points Points: 0 of 1

A rectangular piece of plywood 8 ft by 10 ft has corners cut from it, as shown in the figure on the right. Find the perimeter of the remaining piece in exact form and in decimal form.

9. Consider the integral 1+ 7272 dA, where D is the region bounded by curves D c = 1, xy = 5, = = 5, and my = 1. (a) Choose an appropriate transformation T(r, y) = (u, v). (b) Compute the Jacobian corresponding to the transformation from part (a). (c) Evaluate the integral

10.5 Question 1 > 0/1 pt 0 3 2 99 0 Details Based on the graph above, determine the amplitude, midline, and period of the function Amplitude: Period: Midline: y =. Question 4 > 0/1 pt 0 3 2 99 0 Details Find a function of the form y = Asin(kx) + Cory = Acos(kx) + C whose graph matches the function shown below: -6 -5 -4 Leave your answer in exact

Find lim h0 f(x, yh) f(x, y) h Preview if f(x, y) y4xy.

Please help me solve the problem. Thanks

diagram and resolve the following problem to solve for the required aspects using D'Alembert's Principle. Body A is positioned on a flat horizontal surface,

What's the domain Find the domain of the function. f(x) = V12 - 3x

Find the domain of the function.

Problem 8. (1 point) Which of the following is an example of a polynomial (quadratic) regression model? OA. yi = Bo + Bixi + Box, + E; OB. yi = Po+ Pixi+ ; OC. yi = Bo + Pixi + B2 In(x;)+ ; OD. y, = Bo + Pixi + Box, + E; preview answers

fl l Hands-0n Calendar has found that the least per card of producing x pocket calendar cards is given by " l C '00 = ~ 0.04x + 100, for x s 800, whelr ml the total cost, in dollars, of producing e (300 is the cost, in cents, per card. Fl l 550 cards. Ll l

5. Given vectors a and 7 such that the angle between the two vectors is 60a3, and 112, determine la3) (marks)

Questions 9,12,15 9-14 (a) Find the intervals on which f is increasing or decreasing. (b) Find the local maximum and minimum values of f. (c) Find the intervals of concavity and the inflection points. 9. f(x) = x3 - 3x2 - 9x + 4 10. f(x) = 2x3 - 9x2+ 12x -3 11. f(x) = x4 - 2x2+ 3 12. f (x) = x2 + 1 13. f(x) = sin x + cos x, 0

28. The displacement ofan object attached to the end Ufa spring can be modelled by the function Mi) = 2.4 C03[121+ g]. where II is the height of the object from the floor, in centimetres. and I is the time, in seconds. Determine the acceleration of the object at time I. [3 marks)

please explain t step by step on paper with pen...don't type them with keyboard because its very hard to understand typed problems. ': [10/10 Points] PREVIOUS ANSWERS LARCALC11 9.9.007. 'ViY NOTES I ASK YOUR TEACHER PRACTICE ANOTHER for the function, centered at c. Find a power series 1 f ' = 7777, = 1 (A) 9 _ x C i ' ._. W W V 7' 77 i A i I h 7

Find the volume of the solid obtained by rotating the region bounded by the curve x 2 +( y 1) 2 =1 about the y -axis. Volume =

Please help with following:

I. (15 points) Show that the series (a) the Integral Test (b) the Comparison (c) the Limit Comparison Test is divergent using

- 6 x 4 - 4 2+ 3X+47+x1 = -5 F ( x ) = In ( 3 x 3 + 3 * 2 ) X The volume of a cube increases at a rate of 4 8 / sec find the rate at which the side Of the cube changes when its length is 6 m. Give Your answer as a fraction . 4 Evaluate . Using L'Hopital's rule a Lim 3 x2 + 20X - 18 x -200 - 5 10 (x 3 ) tim 4 cos ( 7X ) - 4 X->o Evaluate 3 x 4 + 3

8.56 (e) and (f) and (j)using ratio or root test 66 wn 8.56 Determine if each series below converges or diverges. If the series converges, determine whether the convergence is conditional or absolute. If possible, nd the sum. (8) E akcogrm) (b) 08181818181 ..... (c) 21(45):; (d) 22: # ( (n'" (f) 2 2+2 3:23 ' 1 l 1 (J) 2 + 5011882 + some? + mm? +

Convert the following complex number into its polar representation: 213 +2i A. 413 (cos60 + i sin 60 ) B. 4 (cos150 + / sin 1500) C. 4 (cos30 + / sin30 ) D. 2 (cos120 + / sin 120)

5.5: Problem 12 Previous Problem Problem List Next Problem (1 point) Use logarithmic differentiation to find the derivative. Preview My Answers Submit Answers You have attempted this problem 0 times You have unlimited attempts remaining hp 144 S % & 5 6

"x = 0" is the y-axis. Why do you call it a plane?" Answer: lal = 3 and b = (1, 2, - 2). Can we know about la + b|? Explain. Answer: At time = 1.0s, Grace travels at a velocity of 14.0 m/s [W 41.0 N]. At time = 3.0s, Grace travels at a velocity of 32.0 m/s [S 23.0 E]. Find out the average acceleration of Grace (hint a = ) from t = 1.0s to 3.0s,

TrneiFalse Indicate whether the statement is true orfatse. 16. The derivatives ofthe reciprocal trigonometric functions can be found using the chain rule and their related base functions. 17'. The product rule does not apply when multiplying polynomial functions with sinusoidal functions. 18. There are an innite number oftangents with a given

(2 marks) The following question is about pmver series. 00 732711 (21) Find the radius of convergence of E . 2n 1 71:1 '30 T2n1 (ii) Let S (:13) = E 2 1, for |:1:|

13. [-/1 Points] DETAILS BERRAPCALCBR7 4.R.023. Find the derivative of the function. f ( x ) = ex f' ( x) = 14. [-/1 Points] DETAILS BERRAPCALCBR7 5.R.001. Find the indefinite integral. (Use C for the constant of integration.) (21x2 - 6x + 1) dx15. [-/1 Points] DETAILS BERRAPCALCBR7 5.R.003. MY NOTES ASK YOUR TEACHER Find the indefinite integral.

Please help me solve the problem. Thanks Let F(x, y) = 2ryi+ (r + x)j, and C denote the circumference of the square (0, 1] x 0, 1] in the ry-plane oriented in the counter-clockwise direction. Then C

Plz solve this 3 Find the missing coordinate of P, using the fact that P lies on the unit circle in the given quadrant. Coordinates Quadrant P ( - (No Response) II Need Help? Read It 5. [-/1 Points] DETAILS SALGTRIG4 6.1.026. Find the terminal point P(x, y) on the unit circle determined by the given value of t. t = 97t 2 P (X, y ) = (No Response)

Approximate the area under the curve y=x2 from x=3 to x=5 using a Right Endpoint approximation with 4 subdivisions.

73:4 1. Suppose that 11(3) = T + 4:0: -| C", where C is some unknown constant. Evaluate (he. "give a value for..."] the following: A. FL?) FUJI) B. F[3) F[2)

Prove the identity. Provide the written rule/identity along with the mathematical statement. COS - x) + cos (x + = = V2cosx

(2 points) Evaluate the line integral F . d r where F = (3 sin x, 3 cos y, 5xz) and C is the path given by r(t) = (3+3, -12, 3t) for 0

For questions 1 - 3 , let fbe the function defined as you see below: * 2 + 1x- 2 x 0 2 - e" 1) For what values of k, if any, will f be continuous at x = -2? Justify your

(2 points) Each vector field shown shown represents the force on a particle at different points in the plane as a result of another particle at the origin. Match each vector field with its description. ? 3 1. A repulsive force whose magnitude decreases as distance increases. ? 2. An attractive force whose magnitude decreases as distance increases.

A piecewise function is given. Use the properties of limits to find the indicated limits, or state that the limit does not exist if x > - 3 f ( x ) = X +3 x2 + 4x ifxs-3 a. lim f(x) b. lim f(x) c. lim f(x) X- - 3 X - 3* X->- 3 101 04 OA. a. - 3 O B. a. does not exist b. does not exist b. - 3 c. does not exist C. - 3 O C. a. - 3 O D. a. does not

Putting It All Together CALCULATOR ACTIVE PROBLEM For the function y = g(x), shown in the graph to the right, N identify the characteristics. The equation of g(x) is shown below. zero g (x) = x4 - 3x3 +2x Notes: Min A graphing utility may be utilized to locate the zeros and extrema. For calculation purposes in this problem only, you may round - 3

MATH 2531: SECTION 16.2 WRITTEN ASSIGNMENT Consider the vector field F = 2ri + 3yj and the closed curve C going coun- terclockwise around the triangle with vertices (0, 0), (0, 1), and (1, 1). 1. Sketch a graph of C described above. Indicate the direction of the curve C on the triangle. 2. Find parameterizations of the three line segments forming

If anyone could help me, please do so! Please provide detailed solutions on paper written down. Thank you! 11. Carbon-14 is a radioactive substance produced in the Earth's atmosphere and then absorbed by plants and animals on the surface of the earth. It has a half- life (the time it takes for half the amount of a sample to decay) of approximately

please answer both 2a. Determine the hydronium ion concentration, in mole per litre, of a solution with a ph of 11. How many times as intense is the sound of a shout as the sound of a conversation? Loud Rocker 200 Potentially fatal Jet engine 160 Rock concert speaker 150 Palu threshold Symphony (peak) 120 Maximum stereo output 100 Niagara Falls 90

x^2+ 3 xy+2y^2-10=0 graph the rotated conic. Show all work include any and all points and lines such as focu vertex etc

Evaluate the following integral ( Hint: cos(2x) = 1 - 2sin?(x)): 71 / 2 sin (x) dx

Evaluate the following integral ( Hint cos(2x) 1 sin2(x)dx 2sin2(x))

Instructions Please complete these exercises. You will be graded as much on the work you show as on the answers you give. The work you show should represent your thinking on how you should complete the exercises. 1. a. Sketch the region bounded by y :12 x2 and y : 5 6x. b. Find the area of the region. 2. a. Sketch the region bounded by x+ y2 = 8

16. (2 points) If x3 + y3 - xy = 5, find dy dx

16. (2 points) If y 2 5, find

Complete the tables and use them to find each limit (or state that it does not exist). Round calculations to three decimal places. (If an answer does not exist, enter DNE.) (a) lim (6x + 4) x- 2 X 6x + 4 1.9 1.99 1.999 lim (6x + 4) = x - 2 (b) lim (6x + 4) x -27 X 6x + 4 2.1 2.01 2.0012. [-/3 Points] DETAILS BERRAPCALCBR7 2.R.003. For each

Read the instructions carefully and give exact answer. Rating will be given based on quality Use the graph of y = f(x), assuming f"(x) > 0 if x = b or d and f" (x) 0. Choose the correct answer below. i A. (3,0);(c,e);(g,h) c. (a,b);(e.g) Q E. (e,g) Q G. (b9);(c,8);(g,h) (e,g) (a,b);(e,g) F. (a,c);(c,d);(e,g) (151.656 f"(x) 20 over (a,h) (E)

(1] For what values of x are the following functions continuous? Show work. [6 points) 3x a) f[x) = Zoosxl b) f(x)=\/20xx2

Find the absolute maximum and minimum values of the following function on the given interval. Then graph the function. f(x) = -+ Inx, 0.5sx56 Find the absolute maximum value. Select the correct choice below and, if necessary, fill in the answer box to complete your choice The absolute maximum value In (6) occurs at x = 6, (Type exact answers. Use

Hello,and please help me with the following questions below:

Please work all legibly. Thank you! Find the following limit x2 -2xy 1. lim (x,y)-(2,1) x2 -4y2 At what points (x,y) is the following function continuous? 2. f( x, y) = 3x-4y x-y Find all first order partial derivatives 3. f(x,y,z) = 4x3y2 - ezy4+ 23 x2 + 4y - x16 4. f( x,y,z) = cos(x2 + 2y) - ex-z"y + y3

8. Find the volume generated by rotating about the :caxis the regions bounded by the following: 3/ = 23/2 + 23:, a: = 0, CE = 2.

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I need question 3 answered for this picture For questions 1 - 3 , let fbe the function defined as you see below: x + kx- 2 3x2 +4x+3 x0 2-e* 1) For what values of k, if any, will f be continuous at x = -2? Justify your answer. 2) What type of discontinuity does f have at x = 0? Justify your answer. 3) Find all horizontal asymptotes of the graph y

Solve 13. Let f (x) = (x -+ 1) + 3. Determine f- (x). tan x+cotx 14. Simplify seczx

Question 10 2 pts Use the Maximum Revenue information above to answer this question. Since R(E} is continuous, we can determine the absolute maximum by evaluating Rte] at the endpoints and the critical number. After doing so, we see the maximum revenue occurs when a: = price reductions. Question 11 2 pts Use the Maximum Revenue information above

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ssessment 1 of 2 7. Explain how you would graph the following set of parametric equations by plotting points and (4 points) describing the orientation. x = 3t and y=2 8. For parametric equations x = a cos t and y = b sin t, describe how the values of a and b (2 points) determine which conic section will be traced.9. The following two sets of

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1. If f (x) = # + +(x + x ), determine all possible value(s) of k such that f"(k) = 25. 2. The graph of f'(x) is shown. On the same grid, draw a sketch of f(x). 2 -2 0 -2

Find the derivateve from functions below : y = 5x + 100 y = 4x 4 + 2x 3 - x + 76 p = 8 - 4q + 5q 2 U = 3x 3 - 2x 2 + 10x + 3y 2 + 2xy - y

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A hot body is exposed to an environment at a constant temperature of 280K. If after 1 minute the temperature of the body is 350K and after 5 minutes it is 310K. determine an expression for the temperature () and use Excel to sketch the graph of against time for t from 0 to 5 minutes and comment on the shape of your graph. Note: Where T is kelvin

Question 9 5 70 Convert to degrees: 3 Now find the coterminal angle between 0' and 360

D Question 9 Convert to degrees Now find the coterminal angle etwee

3/2 Find the length of y = 6x between x =0 and x = 2

Find the length of y 6x between 0 and x2

8. Two forces of 40N and 80N act at an angle of 120 to each other. Find the magnitude and direction of the equilibrant force. (Include a diagram representing the forces) (5 marks) 9. Determine the intersection (if any) of the following lines: '7 : (83_531)+t(1545_1)and F = (33055) + "(33132)

Evaluate the definite integral and interpret the result. (x3 - 4x) dx -6 -5 -4 -3 -2 -1 1 1 2 3 4 5 6x 9; the area under the graph of y - x3 - 4x over the interval [-1, 2] is 9. O -; the area between the x-axis and the graph of y = x5 - 4x over the interval [-1, 2] is -. the area between the x-axis and the graph of y = x3 - 4x over the interval

34. Tom's long-distance service charges $0.10 per minute from 7:00 P.M. to 7:00 A.M. on weekdays, all day on Saturdays, and all day on holidays; $0.05 per minute all day on Sundays; and $0.25 per minute at all other times. The table below gives his long-distance calls for 1 week, including the date and day of each call, the time it was placed, and

Please answer these calculus questions Find the marginal average cost function if cost and revenue are given by 000 = 135 + 8.1x and R(x) = 4x- 0.06x2. The marginal average cost function is (1'(x)= |:|. Find the prot function if cost and revenue are given by C(x) = 153 + 5.2x and R(x) = 9x - 0.07x2. The prot function is P(x) = D. The total cost

Find the values of x for which the given geometric series converges. Also, find the sum of the series (as a function of x) for those values of x. n M 8 - 3 ( x - 5 ) n n=0 . . . Find the values of x for which the given geometric series converges. (Type an inequality or a compound inequality. Use integers or fractions for any numbers in the

24. Solve the system of equations. 4x - 3y+ z =10 2x+ y +3z =0 -x + 2y - 5z =17

2. For this problem we will consider a system that obeys the following differential equation:

3) 2

Find f(x) that satisfies the following conditions. f(x) 6, f(0) 9, f(0) 8 Answer f(x)

For the function f(x) =

For the function f(x) 2. For the function f(x) 5x 3. x 100 , find Then find and 5 3x4 2x3 7x2 5, find f (x), the third derivative Off, and the fourth derWative Off. For the function , find the third derivative off, and the fourth derivative of f. x2 4. Find the open intervals where the function f(x) 12x2 4186x 9 is concave upward or mncave

(3 points) Suppose F = (2y, 2x). Complete the following table of values of 1-7". Values of 1-5 'r: H ,,_. .I i: .I i: k: H O .I i: .I i: '

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2. The graph of y = f (x) is shown below. y = A(x) a. On the grid above, sketch the graph of y = f (x) +4 (1 mark) b. Describe the transformation(s) that occurred. Use the appropriate terms (translation, reflection and/or stretch) and identify any relevant axis or line of reflection with its equation. (1 mark) c. State the domain and range for y =

Consider the circuit shown in the gure. A short time after closing the switch, the charge on the capacitor is 95.0% of its initial charge. Assume the circuit has a time constant of 21.2 s. (a) Calculate the time interval required (in s) for the capacitor to reach this charge. I I S (b) If R = 200 kn, what is the value of C (in HF)? i. W

Use differentials to estimate the value of 4V 1.4. Compare the answer to 4 the exact value of 1.4. Round your answers to six decimal places, if required. You can use a calculator, spreadsheet, browser, etc. to calculate the exact value. estimate Number exact Number value =

x22 ? 7 points x 1 6. What is the instantaneous rate of change at x = 2 of the function fgiven by f(X) =

A Listen From the list below, select all TRUE statements. (But do not select any false statements!) The interval of convergence of a power series always contains at least one point. According to the Integral Test, if the function f (X ) satisfies the three conditions of the test, and if the improper integral J converges, then Enif (n) = fif(x) dr.

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Question (3) (b)

lie tne ground a height of 20.00 feet, and the top has diameter 10.00 feet. It is filled with water, which has a density of 62.424 pounds per cubic foot. A pump is used to pump the water to a pipe that is at a height of 31.00 feet. The pump runs for a while until the water level in the container is down to a height of 5.00 feet. (a) (10 points)

Evaluate this limit

Find the distance between the points (4.3) and (11) . Express your answer in simplest radical form. (1 point) ONTO What conic section is represented by the equation 3x2 + 2y -24x+30 = 0? Explain. (4 points)Find the center and radius of the circle represented by the following equation: x" +(y+4)2 = 3_ (1 point) 0 center: (0,4); r: J; 0 center:

III. If f(x, y) = x cosy - y'sinx + xy, then find all the second order partial derivatives. IV. Suppose that a cylinder is designed to have a radius of 4 inch and a height of 6 inch, but that the radius and height are off by the amounts dr = 0.02 and dh = - 0.3 . Estimate the resulting percentage error in the volume of the cone. 2 V. Given the

a) n1 2n 4nsin(n) n

Answer all please Let f(x) = In(x2 + 1) +4. (a) f(x) has one critical number. What is it? (b) Determine the interval(s) on which f(x) is increasing and the interval(s) on which f(x) is decreasing. (c) Is the critical number you found in part (a) a local maximum, local minimum, or neither? Explain

/ 20 marks 1) Accurately sketch the function f(6) = 5 sin(36 + 270) 2 using key points and key features. Sketch at least 2 cycles of the function. [6 marks] 3) MSMisited London while on vacation and rode The London Eye Ferris wheel. After 15 minutes she hit a maximum height of 136 metres and then a minimum height of 1 metre after 30 minutes. a)

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An arrow is shot from 4 ft above the top of a hill with a vertical upward velocity of 106 ft/s. If it strikes the plain below after 8.5 s, how high is the hill? If the arrow is launched at t = 0, then write an equation describing velocity as a function of time. v(t) = 106 32t The hill is D ft tall

The masses m i are located at the points P i . Find the moments M x and M y and the center of mass of the system. m 1 =3, m 2 =2, m 3 =1, m 4 =4; P 1 (4,4), P 2 (0, 5), P 3 (3,3), P 4 (1,2) M x= M y= ( x , y )=

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Let & > 0. The set {y E R : Ix - yl

Let e 0. The set y e R True O False lx yl e) is an open eneighborhood of x e R. An upper bound m of a set S is the maximum of S if m e S. Irue O False Areal number m is an upper bound of a set SC R if Vs e S, s m. O True O False If a set iS not finite, then it is denumerable. O True False Let and Oc B. Then f I(D) O True False x e A f (x)

try to do on paper please. need to see the steps to understand. Find the instantaneous slope of the parametric curve C at the parameter t, then find the equation of the tangent line at t. x= Vt, y= at, t= 4

f=4 m=9 l=6 5) [3 pts] Consider the following general equation of a rotated conic section. fx2 + (fl)xy + my2 (fmlhr I}! m = 0 Identify.r the conic section. Find the smallest positive value of the angle 6 through which the conic is rotated[counter clockwise rotation from x axis)

Please solve all to help me study for my exam!! SHOW WORK PLEASE 16) Sketch the graph of each polynomial. 3. f(x) = x4 - 103:2 + 9 b. f(x) = 3x3 - 43:2 c. f(x) = (3::2 '3)(33:2 4x 4) 1?) Perform the operation and write the result in standard form (a + bi). a. (3 + 2)(7 + i) b 2 4 E 3+: 18) Simplify the complex number and write it in standard form

(Sec 9.2 ) Find the partial derivatives: fx, fy, fax, fay, fux, fyy (a) f(x, y) = x2In (x2y3) (b) f(2, y) = y2 In (x2y3) (c) f(x, y) = (22 + 2) In (x2 + 1) (d) f(x, y) = 4xe3x2+2y (e) f(x, y) = 4xe3x-242 ( f) f ( x, y) = -2- = 25 64 ty +- +15; x # 0,y+0 (g) f(x, y) = 125x595; x70,y+0

Good morning how would I solve this question? Final Exam Study Guide Score: 28.5/46 28/46 answered .Question 23 lance 10 43 5- Online X 10 -8 -6 -4 -2 2 4 6 8 16 -5 10 Identify a and b for the hyperbola with equation yz + 2 = 1. b =

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