(a) cos(8): = √2 2

Q: 18x, x=2, AOR = X-AXIS

A: Topic:- application of integration

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A: We are authorized to answer one question at a time, so we are answering the first one, please repost…

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A: answer is given in step2

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A: To find the derivative of the below expression. fy=9tany−y2−12y3y

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A: This is a problem related to vector operation. Please follow the procedure given below.

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Q: 2e³y - ²x + 2y - 4

A: We will find the critical points.

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A: A rectangular box with a square base. Its volume must be 8 ft3

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A: First we will find the zeroes and then fix the interval.

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A: To identify the type of solution for the given problem and to solve for the general…

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A: On solving this we will get

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A: As per Bartley guidelines we only give first question answer. Please repost for other parts.

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A: See the details solution in below

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A: We can evaluate the given integral by using the integral formulas.

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Q: I'm not sure how ti find the position vector. Could you please give me some instructions? Thank you.

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