Find a point on the upside down elliptic paraboloid x² +4y2 + z = 1 where the tangent plane is parallel to the plane x + 4y + z = 0.

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Q: Question 2. Prove that ₹n³ + n³ +n is an integer for every integer n.

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Q: Gaussian

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Q: Evaluate (x² - y²)dA, where D is the region bound by lines y = -x, y = 1- x, y = x, and y=x+2. D

A: The region D is bounded by the lines, .To find:

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Q: (b) A cake is shaped like a hemisphere of radius 4 with base on the xy-plane. A wedge of cake is…

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