Question: Please show all work and explain it well Question 1[25 points] You must provide clear and complete solutions for each part of the following question.a)

Please show all work and explain it well Question 1[25 points] You must provide clear and complete solutions for each part of the following question.a) Evaluate the following double integral by switching the order of integration. Show your detail work.0xsin(y2)dydxb) In the double integral D14x24y22dA the integration region D is given by x2y2=16 and y0. Evaluate the double integral using the polar coordinates. Sketch the integration region. Show your detail work.c) The region D is enclosed by y=x and y=x2. Sketch this region. Express D both as type (I) and type (II) regions. Evaluate the double integral DeyydA, where D is the given region. To evaluate the given double integral, which order of integration you use? Justify your choice of order of the integration.

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