Consider the region on the 1st quadrant bounded by y = √4x², x and y- axes. If the region is revolved about the y-axis. Then Volume solid of revolution = - Soº nf (y) dy a Compute a + b + f(1).

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A: The objective of the question is evaluate the limit and choose the correct option.

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A: Here we have to find the value of r and then plot the polar graph.

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A: On solving this we will get:  B= 1/2

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A: The correct answer is option D.

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Q: 5 3 +-6-0 dx 4 dx 3 dx 2x - 3x a.y = (C₁ + C₂ + С₂)e* + С²e²x + С¸è¯ С_e 2 5 2 2x -3x b.y = C₁ + C₂x…

A: We have to find the solution of  d5y/dx5 +d4y/dx4 - 6d3y/dx3=0 This is a homogenous 5th order…

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A: Given

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Q: 1) Determine what comes next in the given pattern and provide solution/explanation: 72 11 20

A: Topic:- sequence and series

Q: (4) Draw the missing figure on the sequence below and provide solution/explanation: 4

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A: To find out the amount that company needs to pay each year.

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A: Given query is to find dx in terms of z.

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A: Area

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A: We need to choose correct option.

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A: This question is related to set theory, we will solve it using given information.

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A: We have to solve given Questions.

Q: Consider the region on the 1st quadrant bounded by y = √4x²,x and y- axes. If the region is revolved…

A: Using shell method, given format is obtained.

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A: Consider the figure

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Q: ate S = Evaluate dx x1/2+x2/31 using rationalizing substitution.

A: solution:-∫1x1/2+x2/3dxput x=y6differentiate both sidesdx=6y5dy

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Q: The power series representation of f(x) = ln(x2-1) is given by Α. 24-1-1x", -1x<1 n=1 n+1 B. None of…

A: To find the power series representation of the given function.

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A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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A: ..

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A: the simple way integration ,frist integration with respect to x

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Q: Evaluate: 2 1. lim [√x²+x= √√x² + 4] ∞0++x

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: where b₁,b2, b3 are constants and 8² w 8² w ឃ 8² w + əx² Əy² az² If web₁x-b₂y-b32, = b+b+b = 1. Show…

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Q: The graph of y = f(x) is given. 6- 5 4 3 2 6-5-4-3 -2 -1 -3 -4 -6- 1 2 3 4 5 6 a

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