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Consider the region R between the x-axis and the curve y = ((x √ x) /...

Consider the region R between the x-axis and the curve y = ((x √ x) / 3) − √ x = (x^(3/2) / 3) − x^(1/2) between x = 4 and x = 9.

(a) Calculate the arc length of the curve between x = 1 and x = 4.

(b) Calculate the perimeter of the region R.

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