Find the volume of the solid generated by revolving around the y- axis, the region bounded by 1 y = (4x)²x = 2, x = 4, and the x-axis.

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A: We want to evaluate the power series of the given expression and want to integrate it.

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Q: (4) Let A be a nonempty subset of a bounded set B. Why does inf A and sup A exist? Show that (a) inf…

A: Let A be a not empty subset of a bounded set B.why does inf A and sup A exist? Show that a) inf…

Q: Q1: Solve the following PED: ди ди = дı ?x² ; if u (x, 0) = 2x when 05x5 05x52

A: Note:- These are multiple questions and according to our company guidelinne we can do maximum 1…

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A: Given : z=f(x,y)=20x2-25xy+16y2   To Find : a) ∂z∂xb)∂z∂yc)∂z∂x(-1,1)d)fy(4,-1)

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A: Given

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A: To solve the following problem

Q: Solve for the area bounded by the graphs of y = √√√x + 2, y = x + 2, x = 2, x = 4

A: Graph:

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A: This question can be solved using the concept of maxima and minima.

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A: solving the problem by finding the value of the future value.

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A: The solid generated by x+y=5, y=0 and x=0, about y=0

Q: IV. Directions: Find the derivative of the following functions. x²+³√x+√x+28 22-26. f(x) = VX 27-31.…

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Q: Consider the function f(x,y)=-2x²+12x-6y²+4y+4xy+24. (a) Find the partial derivatives of f(x,y).…

A: As per guidelines, I can answer maximum three sub parts of a question. To know rest, please repost…

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Q: Solve for the area bounded by the graphs of y = √√x + 2, y = x + 2, x = 2, x = 4

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A: We can solve this as follows:

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Q: (b) Find the dimensions of a box with a square base with surface area 16 and the maximal volume.…

A: The second question has been solved as per the request of the student.   This question can be solved…

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Q: Help

A: We will solve the problem

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Q: What is the second derivative of y = 6x² 3x³ + x² - 5 ? - Oy"= 72x² 18x + 2 Cinema) Oy" 24x³9x² + 2x…

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Q: (a) For a certain curve, y"=2. Find its equation given that it passes through P(2, 6) with slope 10.…

A: Note: according to the company policy we can attempt only one question so please upload the next…

Q: Determine whether the series k=1 3\k-1 converges and if so, find its sum.

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