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Q: Write each of the other trigonometric functions of e in terms of cos(e). (Enter your answers as…

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Q: A. Plane Area in Rectangular Coordinates Find the area bounded by the given curves. Sketch the…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: Assume that the radius r of a sphere is expanding at a rate of 80 cm/min. The volume of a sphere is…

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Q: O a. X=-9-10A, Y=- 7- 6A, Z= -6-3A O b. X=9+ 10A, Y= 7+ 62, Z= 6+3A P c. X=9-10A, Y= 7- 61, Z= 6-3A…

A: Topic:- geometry

Q: (print clearly) Free-Response Free-Response Question 1–no cal 1. For each of the following, find: а.…

A: (C)

Q: 14. Find X(s), given x" + 16x = t, x(0) = 0, x'(0) = 0.

A: answer is in next step

Q: 217-a3-1 limx → 6 Solve x2 –5x-6

A: Please refer to the image below

Q: Question * Let f a piecewise function as follows. Determine lim f (x). х- 2, x2 (a) 0 (b) +00

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Q: What is the significance of the fundamental theorems of calculus in the integration process?

A: This is a problem related to calculus. Based on the available concept we will answer the question.…

Q: Solve for r and y the following system of simultaneous equations 2 In(z) = In(y) + In(16) %3D e e =…

A: Solution: As per given data e have two simple equation, 2ln(x)=ln(y)+ln(16) exey=e4 where,'x' and…

Q: Find the gradient field F of the function f. 7 8 f(x.y,z) =x°e x +y'z O A. F= (5+8x)x*e *i+7y®j+8z°k…

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Q: Find the volume of the parallelopiped with adjacent edges PQ, PR, PS where P(3,-2, 2), Q(5, 1, 5),…

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Q: Problem #8: A rocket is being launched. After a while, it rises at a constant velocity of 50 miles…

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Q: Use the above formula to write each of the following limits as an integral (a) 172 ポ+パ lim (nj)2 +…

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Q: Express cos (a) in terms of cos(2a). Express sin (a) in terms of cos(2a). cos² (a) COS sin (a)

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Q: Problem #5: In the equation f (x) = e* In(5x) – e* + log find f '(3).

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Q: S1 | 16 sin?x cos?x dx х cos

A: ∫ 16sin2xcos2xdx

Q: I. Evaluate the following. You are NOT allowed to use L'Hopital's rule. - 2x – 3x 3 – V11+4x - 1.…

A: fx = limx→-∞pxqx  fx = limx→-∞logπcot-1x1-cosh2xWhere, px = logπcot-1xqx…

Q: Obtain the general solution unless otherwise instructed 1. arž -y = 10sin²x dx² SUMMARY OF ANSWERS…

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Q: Evaluate the integrals in the following questions using integration by parts For |0 cos cos T0 do

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Q: Find the solution of the following Differential Equations 7) y+4y =0, y(0) = 2.8

A: Topic:- application of integration

Q: Find div F and curl F of F(x, y,z) = (x z³) i + (3x²y1² )j + (3z?y) k

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Q: |cos 3x cos 4x dx :

A: We have to find the given integral.

Q: Evaluate the following: 1. f (5a - 82 + 6z² - 4x + 7) da

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Q: Use the Alternating Series Test to determine whether the alternating series converges or diverges.…

A: The given series,       ∑k=1∞(-1)k+1k+6 5k

Q: Use the Alternatng feries Test to determne whether the alternating senes converges or diverges…

A: Explanation of the answer is as follows

Q: Problem #6: Find the equation of the line tangent to f(x) cos? x – sin? ( at x =

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Q: Find the area of the following surface using the given explicit description of the surface. The cone…

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Q: The following series is convergent: 3n 2n? – 1 Σ 4 + 5n2 n=1 Select one: True O False

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Q: 1-Determine the order of each matrix. 2 -3) b-() c-(105 311) а — 4.1 4 2-Determine the value of each…

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Q: sech 2t dt Evaluate 3, coth 2t

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Q: Assume that the radius r of a sphere is expanding at a rate of 60 cm/min. The volume of a sphere is…

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Q: -olve for two cases csc² 20 cot 20 de irst case Using u = cot 20

A: Topic:-  integration

Q: •1//2 4 c) dx. VI – x² 1/2

A: To evaluate the integral.

Q: When solving the nonhomogeneous differential equation y" - 4y' + 4y = x by variation of parameters…

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Q: a) Test the series EN7-1)" for n =1 convergence or divergence (show all your works) b) Test the…

A: We have to find convergence test

Q: Evaluate the limits lim x² – 1. X-4 15 -17

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Q: Let D={(x,y,2) : x2+y2+z?s 1600, z2 o}. Evaluate - z dv.

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Q: Vr2 – 2x – 3x (x² 4. lim 4x + 5 (72 25) ten2(r1 2)

A: first we will take x common from numerator and denominator, then take limit.

Q: Find all solutions to the equation. 2 sinx- cosx=1 Write your answer in radians in terms of t, and…

A: Given: 2sin2x-cosx=1   As we know that; The general solution of the trigonometric equation cosx=cosα…

Q: 7L 1 Se cos 2t dt

A: Given,            ∫e7tcos2tdt

Q: Find an eigenbasis and diagonalize. (Show the details.) 14.4 -11.2 10. -11.2 102.6.

A: Given :14.4-11.2-11.2102.6

Q: If 2(-1)" a, is absolutely convergente the n=0 na, is divergente. Select one: O True O False

A: Topic:- sequence and series

Q: Directions: Read the problem carefully and answer the questions that follow. The population of a…

A: Topic:- exponential growth function

Q: 4. S Væ*dx

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Q: Consider a ladder sliding down a wall as in the figure. The variable a is the length of the ladder.…

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Q: Given f(x) =x2- 1, find the value f(2)

A: Given f(x)=x2-1

Q: potter forms a piece of clay into a cylinder. As she rolls it, the length, L, of the cylinder…

A: Given problem:- A potter forms a piece of clay into a cylinder. As she rolls it, the length, L, of…

Q: Scos | cos 3x cos 4x dx :

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Q: Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the…

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