If the volume of the region bounded above by z = a2 − x2 − y2, below by the xy−plane, and lying outside x2+y2 = 1 is 32π units3 and a > 1, what is a ?

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A: The required answer is shown below.

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A: We will use matlab to find the answer

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A: Let us determine the linear correlation coefficient for the given data in the next steps.

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A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

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Q: 1. Evaluate the given line integral, |(-y,x – y) · dR, where C is the upper part of x² + y? = 1 from…

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A: Please see the attachment

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Q: * نقطة واحد The value X1 .1 -2 x1 + 6 x2 + x3 = 9 - x1 + x2 + 7 x3 = -6 4X1 — Х2 — Хз %3D 3 إجابتك

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A: We can solve using trapezoidal rule

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A: We use the sequential definition of continuity to solve this problem.

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A: Solution-:

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A: Solution-: