f4) = (/4x² +8 - x²)* (8x + 4x)V4x2 + 8 - 24x - 32x V4x2 +8 If then f'(x) =

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A: The cylindrical shell method gives the ,Volume on revolution about a line is given by…

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A: Use arc length formula

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A: Topic = Integration As per guidelines , At  a time only one question can be answered out of…

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A: Explanation of the answer is as follows

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A: lim(x, y)→(3, 3) 4x4-4y4x2-y2

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A:

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A:

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A:

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A: 1.

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A:

Q: 16 Indicate the general rule for the arithmetic sequence with a3 = 8 and a8 = 33. a n = 2 + (n -…

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A:

Q: =

A: We will find the derivative.

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A: Topic = Derivative

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A:

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A: Here I have appended the formula used in the solution part.

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A:

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A: This question can be solved using the concept of Taylor series centered at a.

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A:

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A:

Q: 4) Find all values in the interval [-2z,27]at which the graph of fhas a horizontal tangent line.…

A: -2pi = -6.2832 2pi = 6.2832 we can see from the graph 5 values satisfies horizontal tangent, we can…

Q: 3 (a) | (7)dx (c) dx (sin x + 1)dx (b) L (x° + 2x + 1)dx (d) 0,

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A:

Q: integral

A: We will solve the definite integral.

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A:

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A: Area of a bounded region by curves is given by ∬dydx.

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A: Solving

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A: Alternating series test:∑n=0∞ (-1)nn+2an=(-1)nn+2bn=1n+2limn→∞1n+2 =0and bn+1-bn=1n+3-1n+2…

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A:

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A: Explained below

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A:

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A:

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A: We have to find the angle

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Q: 3n° + 2n³ - 7 {a,}== 7n' + 3п +4

A: