a)Find the average of the function f(x)= x² +1 on the interval [-1,2] Answer:

Q: i) S'(2x – 1)* dx (In x)2 j) fth dx 7 k) S (1-- -)dx (x2+1) 1) S(1+ tan² x) dx

A: I am attaching image so that you understand each and every step.

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A: This question can be solved by applying the concepts of complex numbers.

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A: We can solve as follows

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A: answer is in next step

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A: We have to find y3.

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A: To evaluate the given integral by using integration by parts.∫-11t3t2+4 dt

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A: We have to find the area of the region bounded.

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A: In multiple question we are allowed to answer only first three sub parts

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A: Use the formula for the Laplace Transform for the given function.

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A: Since this is a multiple question, according to the Bartleby answering rule, only first question is…

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A: We have to find a29 term.

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Q: SE-D) dx =- 4 In|x| +C 1. A. 4x В. 4* SA dx = 6Vĩ + c S(3Vx + dx = x + 3) + C 2. С. 4 3. D. -dx =…

A: Topic:- derivatives  Note:- as per our guideline if more than one question uploaded than only first…

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A: We will derivate the function step wise as asked in the question.

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A: To determine the area of the region bounded.

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A: The differentiation is given below.

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A: We have to find the maximum volume and dimensions of the box.

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A: Topic = Trigonometry

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A: Let the number is x than we need to minimize function f(x)=1x+5324x2, x≥0

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Q: I. Evaluate the following. 3450°-j12 a. 14 + j2 – -j15 (3450°-j12) b. j2 x 32-25° -j15 5-j2…

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Q: Differentiate. Use correct notation to label your answer. HA 10 end f (x) = 4c0s TX COS

A: Explanation of the answer is as follows