4. Set up the integral for finding the volume of the solid obtained by rotating the shaded region about the line y--2. Note: You do not need to compute the integral. yA x=y² - 4y (-3, 3)- x= 2y– y?

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A:

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A: Given that:                              

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A: We are asked to find  limit of the function.

Q: Determine C when x-y%3D0 (xy + x)dx = (x²y² + z² + } + 1)dy O C=0 O C=1 O C-1 O None of the Choices ...

A: Given:- (xy + x) dx = (x2 y2 + x2 + y2 + 1)  dy To find:-  When x=y=0 then find C

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A:

Q: The rectangular playground is 80m long. Its length is 38m longer than its width. Find the perimeter ...

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A:

Q: lim n - co i = 1

A:

Q: Evaluate the integral / 87 dr. Answer:

A: see below the answer and  calculation

Q: 5. The differential equation (3r*e" - 2xktx+(r°e' -sin y}dy = 0 is exact because ƏN ƏM ôx

A:

Q: Let g(x) = *-f(x) S(x) find g'(1), if f(1) = 4 and f'(1) = 2 c. - d. а. 2 b.

A:

Q: 12.) Given u= (1,2,-3) and v= (2,-1,1) find: F a.) b.) 2u- Sy c.) The angle between u and v. d.) uxv...

A:

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Q: Find the area of the largest rectangle that can be inscribed in the ellipse x2 1. b2 +

A:

Q: 4) lim Vx + 2 DNE x--2- 5) lim f(x) DNE, given that f(x) = {*+1 if x<2 (x-4)2+3 if x22 x-2

A: Topic:- limit Calculus

Q: 5) lim f(x), if f(x) px+1 t(x-4)2+3 if x<2 if x22 x-2 2- 2+ f(x) f(x) 1.5 2.5 1.9 2.1 1.99 2.01 1.99...

A: Topic:- limits

Q: An+1 Use the ratio n to determine if the sequence is strictly increasing or strictly decreasing. 2n ...

A:

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A: We have to find value of c

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A:

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given point...

A:

Q: 9. lim V X-32

A: 9)limx→32x5

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A: From given information  

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A:

Q: FIND THE INDICATE ORM! DERIVATIVE IN TIS SIMPLIFIED (x2-3x)3 1. y= ; d'y/dx

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as ...

Q: Rewrite the logarithm as a ratio of common logarithms and natural logarithms. log7 69 (a) common log...

A: We can write the answer as below.

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A: The given series is: ∑k=0∞ 56k+3

Q: what is the order and degree of the equation:   (d^3y/dx^3)^2/3 = x+6 dy/dx

A: Given that: d3ydx323=x+6dydx

Q: x- 9 lim x-9 x²- 81 2.

A: Topic   = Limits

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A:

Q: Determine the second derivative of y = V5x² + 1 Determine the third derivative of y = (x² – 1) (2x³ ...

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Q: Find the radius of the sphere x2 + y? + z? – 2x – 8 = 0. %3D 4 O 2 O 3 9,

A:

Q: S(7x-2)³ dx = (7x-2)4 + C. 28

A: The given integral,      ∫7x-23 dx=7x-2428+C

Q: Determine the third derivative of y = In(2x + 3) Determine the third derivative of y = e(-x²/2)

A:

Q: Use the properties of logarithms to expand the expression as a sum, difference, and/or constant mult...

A: The logarithmic expression is given by lnx2yz Formula Used: lnm·n = lnm+lnn, lnmn = nlnm and lnmn = ...

Q: sechudu 7 2tan e" + C = tan (sinhu)+C

A: Note :- second line of your answer is wrong after conversion. I am providing you right solution plea...

Q: -х-f(x) Let g(x) = f(x) 2, find g'(1), if f(1) = 4 and f'(1) = 2 1 3 b. d.- а. с. -- 2 8

A: Differentiation in u/ V form    Here option   a  is the correct answer 

Q: 5. The differential equation (3r'e -21}dr +(r'e' -sin y Jdy = 0 is exact because ƏN %3D

A: Given:- Differential equation (3x2-2x) dx+(x3ey-siny)dy=0 To Find:- The given D.E is Exact because ∂...

Q: 7. If cos 0= where 0< a< 2, what is csc 0? 2 A) +- C) 4-a a В) + D) +- 4-a 2.

A:

Q: 2. (1 + 2x – 4x²) dx

A: Given : (2) ∫55 1+2x-4x2dx

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Q: Given the polar curves r = 1- 2 sin 8 and r = -4 sin 8. Do the following: 1. Sketch the curves on th...

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Q: E) + ») dy = 0 4x3 3 dx + y 3x

A:

Q: Evaluate the DE y²/x(x+y) = -y'

A: Given

Q: Evaluate the definite integral. da r(1+ In z)

A: We will use fact that  ln(a)b=b.ln(a). And ln(1)=0.

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A: To eliminate the arbitrary constant we have to differentiate the function wrt x.

Q: y = 2xy – x In(2y – 1) = –a² +C y = e**C + • Option 2 Option 3 In(2y + 1) = –x² + C Option 4 None of...

A: We need to choose correct option.

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A:

Q: 4. f(x) = x² – 1; c=-1

A:

Q: dy Find if y = (6x – x³)% dx V6x - x² b. 2. V6x–x² b. 6- 2х (3 – x)/6x–x² - Y - X d. (6–2x)/6x-x² с....

A:

Q: Use  f(x) = 3x − 5 and g(x) = 2 − x2 to evaluate the expression. (a)    (f ∘ g)(x)   (b)    (g ∘ ...

A: