Question: Please Answer the Following Questions (PLEASE SHOW ALL WORK) 1. Find the volume of the following solid region. Z=3-X The solid above the region R

Please Answer the Following Questions (PLEASE SHOW ALL WORK)

1.

Please Answer the Following Questions (PLEASE SHOW ALL WORK)1. Find the volumeof the following solid region. Z=3-X The solid above the region R= {(x,y): 0 1 bounded by the paraboloids z = x- +4y- and z=8 - x- - 4y- and the coordinate planes in

Find the volume of the following solid region. Z=3-X The solid above the region R = {(x,y): 0 1 bounded by the paraboloids z = x- + 4y- and z=8 - x- - 4y- and the coordinate planes in the first octant. Z=X The volume of the region isThe surface of an island is defined by the following function over the region on which the function is nonnegative. Find the volume V of the island shown to the right. Z= e - (x2+y2) /16 _ -4 V V =units (Type an exact answer, using it as needed.)The surface of an island is defined by the following function over the region on which the function is nonnegative. Find the volume V of the island shown to the right. z=28-VX 1. 2 Z = 28 - X + V =units3 (Type an exact answer, using it as needed.)integrals. Find the volume of the given solid region in the first octant bounded by the plane 2x + 2y + z =2 and the coordinate planes, using triple (0,0.2) (1,0,0) (0,1,0) X Complete the triple integral below used to find the volume of the given solid region. Note the order of integration dz dy dx. 100 v= J J dz dy dx 0 0

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