by rotating Find the Volume oF the solid obtained bounde d by und X=4 y=o rotating y= 8 on

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A: We have to differentiate given function

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A: We will use first shifting Theorem to solve this question.

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A: As asked we can answer the question with out all explanation in the following steps

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A: We have to minimize the given function.

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Q: (vi) S 16-x 2+15 dx. u=

A: The objective of the question is evaluate the indefinite integral.

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A:

Q: 4 y = ,x = 1,x = 4, and y = 0 is revolved about the y – axis. (Answer: 24n c. u.)

A: This question is based on finding volume of solid.

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A: Let's find.

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A: Let's find.

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Q: Question 3 Compute V31.6 approximately by use of differentials. 1.098 (E) None of the choices 1.890…

A: 31.65=1.995

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A: I am going to solve the problem by using some simple calculus to get the required result of the…

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Q: 2. Suppose a wire three feet log is to be cut into two pieces, with each piece to be formed into a…

A: 2) as per our norms we have to write one question at a time kindly repost remaining questions.

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Q: dªy d³y -4. dx4 „d²y -6· dy dx3+ 7 + 2y = e-* + xe¬× dx dx2

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A: LetI=∫tanxsec3xdxSubstitute u=sec3xDifferentiate…

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A: Differentiation

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Q: . Use L'Hospitalľ's Rule to evaluate lim t In 1+

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Q: Given: points A (3, 1, 6), B (5, -1, -2), and C (1, -3, 2) 1. Show that A, B, and C form the…

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Q: Find the Taylor polynomial of order 3 generated by fat a. f(x) = x2 +x+1, a=2 O A. P3(x) =7+5(x- 2)…

A: f(x)=x2+x+1f(2)=4+2+1 =7f'(x)=2x+1f'(2)=4+1 =5f''(x)=2f''(2)=2f'''(2)=0

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Q: 1. Find the centroid of the semicircular area inside x? + y² = a²_with y> 0 Answer:

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

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A: We have to find rate of change of Radius.

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A: use the equation given and find the region to be integral

Q: 6y dx dy

A: x limit  x=y2and y is from 0 to 1 Option B

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