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"The region in the first octant bounded by the coordinate planes, the plane y=1−x, and the surface z=cos(πx/2),0≤x≤1 " i
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"The region in the first octant bounded by the coordinate planes, the plane y=1−x, and the surface z=cos(πx/2),0≤x≤1 " i
"The region in the first octant bounded by the coordinate planes, the plane y=1−x, and the surface z=cos(πx/2),0≤x≤1 " is depicted below. In this assignment, we will be finding its volume by evaluating a triple integral. (a) Sketch the projection ("shadow") of the solid onto the xy-plane. 1 This should be a 2 d graph. Number the axes appropriately, and fill in the region. (b) Use the graph and your answer from part (a) to express the volume of the solid as a triple integral using the integration order dzdydx. (c) Evaluate your integral from part (b) to find the volume.
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