(d) Find the volume of the solids generated by revolving the region in the first quadrant bounded by the curve r = y-y and the y-axis about the line y = 1. Use the Method of Cylindrical Shells for this problem.

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A: Solve the following

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Q: Consider the implicit function. e' = sin (6x) Determine the formula for in terms of x. dy dx

A: Here we have to find the derivative.

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Q: dy dx 2xy + 6x + (x²-4)-

A: Solution of given question is written in below steps.

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A: The water freezes at 0°C  is (32°F) and boils at 100°C (212°F)

Q: ∞ Σ k=1 23k e-0.38k2 accurate to 10−5

A: We will find.

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A:

Q: Suppose F(z) = g(f(z)) and f(2)= 3. f(2)=-3, g(3) = -1 and g (3)=-4. Find F(2).

A: Recall: Chain Rule  Let F(x)=g(f(x)) , then F'(x)=g'(f(x)) f'(x)

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A: We have to find whether the series converges or diverges.

Q: 7 circle r = cos 6 and circle r = sin 0

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

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A: We need to find R6, L6 and M3

Q: he crash risk of an intoxicated driver relative to a similar driver with zero blood alcohol is R(x)…

A: R(x) = 51500x4.14 + 1.09  x = 0.08 dx = Δx = 0.006 R(x) =R(0.08)=2.6

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A: To calculate x-intercept, we should plug y=0 in the given equation. Given equation is y=4x+73-32…

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A: Topic = Derivative

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Q: L3Q6. If f(x) = 2x – 1 and g(x) = log x, compute (f – g) (x). A.2x – 1 + log x B.2x – 1 – log x

A: Given; f(x) = 2x – 1 and g(x) = log x

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A: Here we have to perform triple integration

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A: Given the query is to find growth rate, money after 10 years and time taken to double the amount.

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A: We use ratio test to find the desired result.

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Q: an = (1 + ² (1 + 2.6) "

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Q: If f(x) = 4x + 14, find the slope of the secant line between the values of *₁ = 9 and ₂ = 2.

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Q: 7. Let C be the portion of the circle x² + y² counterclockwise. (a) (b) Evaluate La xy dy. = 4 from…

A: Let's solve given integral.

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A: Now the equation(function) given in the question f(x)=-x2-10x-25

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Q: II) Let ƒ be the piecewise function f(x) = 2³+ 6x² + 8x x+2 2¹-2, 1-x-2, " x≤-1, x -2 -1 1 1) Sketch…

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