Set up, but do not evaluate, an integral for the surface area of the surface generated when the following region is rotated about the y-axis. In (2) The region bounded by y = e 7x Osxs and the y-axis. Select the correct choice below. O A. 2 (In (y) 1 2x 1+ 7 dy 49y2 O B. 14x 1+49 e 7x

Q: (4x* – r*y +y*)dx + x*dy = 0.

A: Let's find.

Q: Q4) Evaluate the following integral using Trigonometric Substitutions Method: 1 - x dx 2. y =

A: To evaluate the given integral.

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A:

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A: Here we have to use the subsitution.

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A:

Q: Ql: Find the integration of : 1. S cos (3 sin x)cos (4 sin x). cosxdx

A:

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A:

Q: [a, b, ci] [a2 b2 c2] A, = [d2 e2 2] a3 bz C3 Az = \ds es fal If A, = and are any 2 x 3 matrices,…

A: Here we have to prove the given operations.

Q: 2x +1 J (3r – 1) ( + 2x +2) Evaluate: -dx F (z) = 2 In (|3r - 1|) + In (x² + 2x + 2) – 4 arctan (r+…

A:

Q: prevents changes to this answer. Which series converge in the interval described by x<1? 1.…

A:

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A: To find the scalar product of two vectors with the given conditions.

Q: (a) Show that the integral test applies, and use the integral test to determine whether the series…

A:

Q: To evaluate sin 0 do , factor sin*0 as (sin²0) ² sin® and let sin²0 = -(1- cos20). A True В False

A: To evaluate: ∫sin5θdθ Let I = ∫sin5θdθ ⇒I = ∫sin4θsinθdθ

Q: Give the VALUE only. No need to include the unit. * Let s, =15r +10r + 20 and s3 = 5t² + 40r, t20,…

A: We have to find time when velocity of both cars will be equal

Q: What is the derivative of f(x) =2cos (x)? %3D 2 cos (2x) O -2 cos (2x) O 2 sin (2x) -2 sin (2x)

A: f(x) =2cos2xdifferentiating w.r.t xd(f(x))dx=ddx(2cos2x)

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A: Solving

Q: The shaded region R is bounded by the lines x = 0, y = 0, and the curve y = x² – 2x + 2 as shown in…

A: Here, the volume is: V=∫03π(y)2dx =π∫03x2-2x+22dx=π∫03(x-1)2+12dx

Q: .2 dx I (w² – 25)5/2

A:

Q: Find the absolute extrema of the function f(x) =(x+1)* in [-2,1], if there is any.

A:

Q: 9- 4x2 Evaluate: xp-

A:

Q: Example Evaluate +f -P) dpdgdr (p2 + q² – r²) dp dq dr + pq² – pr2 dq dr 3 1 + q? ² – r? } dqdr 3 -…

A: Let's find.

Q: Question 11 |In |25- x² -dx , if we let u=V25- x² , then udu= - xdx. T True F False

A:

Q: 1. S cos (3 sin x)cos (4 sin x). cosxdx sec*x dx 2. Jtanx 3. Sr 6 tan*x dx 4. /2 sin5x dx

A:

Q: Descibe he moton of a partice with position y= 5 sin t; y=2 cos t as t varies in the interval - T, 5…

A: To find the motion of particle.

Q: Given In.ry+x+ y =2. Find dy by implicit differentiation. dx

A:

Q: Work Problem 1 (With integrity statement] Let R be the region bounded by yx+ 2, y=0, und x=2. Draw…

A: To find the value of given double integral.

Q: Work Problem 1 (With integrity statement] ( Let R be the region bounded by y-x+2, y=0, and x=2. Draw…

A: Given; I=∫∫R-2ydA And y=x+2, y=0, x=2   As we know that; The Power rule: ∫ax+bndx=ax+bn+1an+1+C And…

Q: 9 – 4.x² -dx Evaluate: 9 – 4.x² – 2 sin () +C A f (x) = - B /9 – 4.x² + 2x sin- () +C f (x) = f (x)…

A: ∫9-4x2x2dx

Q: Economists who study production of goods by a firm consider two functions. The revenue function R(x)…

A:

Q: Find the derivative of the function f)= [sec() 6 sec-1 xVx2-9 1 sec x Vx2 -9 O 3 sec-G) 3. xVx2 -9 3…

A: In this question we have to find the derivative of the given function.

Q: Supply the missing steps on equation below x•dy (x² + y² ³/2 Hol 2a B 47 xVx² +a² -a

A:

Q: tan5 e -y secseс е-У 9. S -dy ey

A: Since, the student has asked to solve question number 9, so we are going to solve only question…

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A:

Q: Find dy dx 1-Ln("+さ)=かがとx:ッ) 2-y=(1+x*)

A: As per bartleby guidelines we only give first question answers.

Q: Question 12 S dy =2/y- 5inlVy+5|+c Vy +5 A True B) False

A:

Q: 9 – 4x2 -dx Evaluate: x2 (품) (A 9— 4г2 2.x sin- f (x) = +C V9 – 4.x2 - 2 sin- (4) + C 2r В f (x) =…

A:

Q: Q3/ Solve the following equation by (Finite Difference Method), choose (h= 0.5) *+ 2y = 3 ,y (0) =…

A:

Q: If 54 = the determinant of the matrix below. 3 -4 What is the value of x?

A: We can solve this as follows:

Q: dx Evaluate: xV x2 +4 (A None of the given choices ® n Vx2+4- 2 + C x² + 4 +2 Vx²+4-4 +C x² + 4 + 4…

A:

Q: 2x + 1 -d.x J (3x – 1) (x² + 2.x + 2)' Evaluate:

A:

Q: End P4)

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: S tan³ 6x sec10 6x dx 1 sec1²6x + sec1º6x + C 72 1 60 B none of the choices 1 -sec1²6x + 72 1 1…

A:

Q: II. Multiple Choice: Read and understand the statements, then choose the correct answer. - Write the…

A:

Q: 25s^2+202s+25. FACTOR THIS QUADRATIC EQUATION ACCURATELY.

A: 25s2+202s+25=0We know that solution of quadratics equation ax2+bx+c=0 is x=-b±b2-4ac2a Herea=25,…

Q: olve the following Initial Value Problem: y" + y-6y 0, y(0) = 2 y (0) = -1. and %3D %3D %3D

A:

Q: | cos ?x sin'x dx can be evaluated by factoring sin'x as (sin²x) ²sinx and transf sin²x into 1-…

A:

Q: y ton(メツ) ン Q3 Find tanx 2 y-(1+x

A:

Q: y" + 4y" + 4y' = 0. %3D

A: Follow the procedure given below.

Q: Evaluate the triple integral xyz dV, R where R = {(x, y, z)| 0 < x < 3, -2 < y < 1, 1 < z < 3}.

A:

Q: 3 3 25x ? 2 7x3 3 16х5 dx 5

A: use property of integral to solve this.