Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the y-axis. y = 1le-, y = 0, x = 0, x = 1 V = Sketch the region and a typical shell. (Do this on paper. Your instructor may ask you to turn in this sketch.)

Q: Find the tangent lines. To the cubic y=x³+6x²+10x+8 parallel to the line y=x

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Q: 4045÷135= %3D

A: Explained below

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A: Given:

Q: (a) 1+2+4+ 8+16 + 32 (b) -1+2- 4+8 – 16 +32 4 16 (c) 64 256 5

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A: answer is in next step

Q: Consider the DE: x²y" – 4xy + 4y = 0. A) Verify that y = c1x* + c2x is a solution of the DE. B) Find…

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A: By using Newton's backward difference formula to find the approximate value of y-13 when…

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A: Given problems:-

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Q: (11) Find the tangent line(s) to the parametric curve given by * = t5 - 4t3 y = t2 at (0, 4)

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Q: Rib)-Ra Find the value or values of c that satisfy the equation - f(c) in the conclusion of the Mean…

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Q: fi(x) 1 A = {fi, f2, f3} c F(R) and f(x) = f:(x) = |x+ 1| PROVE: A is linearly independent. (A L.I.)

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Q: Find the marginal revenue for producing x units. (The revenue is measured in dollars.) R = 30  10x −…

A: Given that, R = 30(10x − x3⁄2)

Q: 46-% dy dx change bheorder and eva/ute.

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A: To solve thsi question we will apply the concept of root test and limit.

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A: This question can be solved using the concept of ratio test.

Q: y = x² – 14x , y = 0 3D0

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Q: = 8x - 3y2 nd the Implicit derivative " dy/dx" of the function. A) y' = - 6y B y' = 8 - 6y (Cy' -6y…

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A: To find the indicated terms of the geometric sequence with the given description. The third term is…

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A: let the length of Pig pen be "a"width be " b" Perimeter=150 metresPerimeter = 2(a+b)…

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A: Solved below

Q: y = sin æ , y = cos(2x), – < < 6.

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A: Explanation of the answer is as follows

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A: Topic = Algebra Px=Dx·Qx +RxPx=-x2+x-3+8x+1

Q: 20-21) What is the equation of the tangent line to y = x3 at x=2? A) y = x - 12 B) y = 12x C) y = x-…

A: Use derivative for finding the  equation of tangent line .

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Q: utolial Exeicise Use the Quotient Rule to find the derivative of the function. cos(t) (t) = %3! Step…

A: Use quotient rule for finding the derivative .

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Q: 4+6 n i) The sequence {- -} is bounded by 6 n <n< ii) The 20 th. element of this sequence is

A: We can solve as follows

Q: | Consider the DE: x²y" – 4xy + 4y = 0. A) Verify that y = c1x* + c2x is a solution of the DE. B)…

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Q: 7. Use integration by parts to prove that for any positive integer n, п - 1 Scos | cos"x dx = 1…

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Q: Find the marginal cost for producing x units. (The cost is measured in dollars.) C = 300(6 + 5   x)…

A: We have to find the marginal cost

Q: EXERCISES 4:Find the tangent line at the given point 1. Xy = -4, (2, –2)

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Q: If , Ax) dx = 10 and , Ax) dx = 7, find , Ax) dx. Select the correct answer. O 1) -10 O 2) 17 3) 3…

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Q: Find the sum. 16 1 + (-1) |- 1

A: Topic = Series

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Q: Find the slope of the tangent line to the graph of the function at the given point. g(x) = 14 – x;…

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Q: 13–14 Draw the projections of the curve on the three coordinate planes. Use these projections to…

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Q: — т3 + 3х2 — 2х — 1. + 3x2 %3D

A: answer is in next step

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Q: Q2/ Complete the following table to find the values a , b,c and s y A -1 2845 308 3162 S 3544 a 2…

A: Given

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A: We need to find y(t).

Q: 8. According to the following table, what is the limit of this function as x approaches 0? -.001…

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