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Evaluate the following integrals For question no. 2: label all important points such as intercepts, vertices of parabolas and hyperbolas, endpoints of the major and

Evaluate the following integrals
For question no. 2: label all important points such as intercepts, vertices of
parabolas and hyperbolas, endpoints of the major and minor axes of ellipses, and endpoints of traces.

x (z - 3) Consider the quadric surface S: +(y + 1) - 1 4 3 1. Find an equation for the trace of S on each of the planes y = -1, z = 3, z = 6, the xy-plane, and the yz-plane. Identify each trace. 2. Sketch S using the traces obtained in 3(a). Identify the type of quadric surface.

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