3. Find the volume of the curve x² = 4y and the line x = y rotated about the x-axis.

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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: Solution to find the value of given integral is as follow.

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A: Consider the following solution to the problem of finding the total area bounded by the graph of…

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A: Let x be the distance of top of ladder from the ground.

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Q: 2. Find the area of the region bounded by the curves y = f(x)=x²-3x and y = g(x) = -2² +9

A: we need to find the area bounded by the curves

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A: Compute the Taylor series of the function around x = 1. f(x) = e7x

Q: answer

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A: Given 3.805¯

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A: Given fx=4x2  We know that  ∆y=fx+∆x-fx Also, dy=f'xdx

Q: A = (3,6), B = (12, 12), C = (-12, 48), and D = (-21, 42).

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Q: Write 40% as a fraction and use your answer to find 40% of 300.

A: a% can be writen as =a100

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A: We can find the limit in the below steps.

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A: Given function:- fx=x Taylor series is given by fx=∑k=0∞fkak!x-ak

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A: To find the volume of a pyramid with a height of 16 and a rectangular base with dimensions 3 and…

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A: We can find the volume in the below steps.

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A: According to question,Given Function,fx = cos2x

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Q: 23. Determine what kind of conic is represented by the equation - 3 1-3sine

A: we need to find the type of conic represented by the given equation.

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A: Given x=e-3t and y=2e2t

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Q: Given the information below, estimate the total distance travelled during these 6 seconds using a…

A: We need to perform left endpoint approximation.