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Please answer all 3 questions and explain . thank you. (1) Determine the length of the...

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Basic Math

Please answer all 3 questions and explain . thank you.

(1) Determine the length of the curve y= 3 + 2x^(3/2) for 0 ≤ x≤ 2. You can use your calculator at the last step (after theintegration) to determine the approximate length, or you may keepit exact.

(2) Set up, but do not evaluate an integral for the surface areaobtained by rotating the curve y = x^3+ 4, 1 ≤ x ≤ 5 (a) about thex-axis. (b)about the y-axis.

(3)Find the particular solution to the differential equation dydx = y 2 sin x that satisfies the initial condition y(0) = 3.

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