Please show step by step to earn the points Sketch the region R in 2-D described

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Please show step by step to earn the points

Sketch the region R in 2-D described by R = {(x,y) : 0 Also, describe that region from the other perspective: Sketch the region R in 2-D described by R = {(x, y) : 0 Also, describe that region from the other perspective: The union of the two areas: may be described with just one set description from the other perspective. Determine that set description. Change the following two set descriptions, R1 & R2, given in rectangular coordinates into a single set description in polar coordinates: Sketch the region described by: A solid is bounded by the graphs of y = z = y, y = 0, and z = 0. Write a description of this solid in the form A solid lies between spheres of radius 2 and 5 respectively. They have a common center at the origin. Describe these spheres using inequalities involving spherical coordinates.

Explanation / Answer

1.

0<=y<=4 , for all y, 0<= x <= (1-y^2/16)^0.5

2.

0<= x<= 1, for all x, -(1-x^2)^0.5 <= y < = (1-x^2)^0.5

4.

3<= r<= 5, 0<= theta <= 2pi

7.

2<= r=5, 0<= theta < = 2pi, 0<= phi<= pi

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