Task 2(1) Parametrize the intersection curve between the graph z = x² + y² og plane x - y = 2.(2) Find the equation of the tangent plane to the graph z = x² + y² at the point (-1,2,5) onthe graph(3) Find the volume of the body that lies above the xy plane and below the graph of thefunction f(x,y) = 25 - x² - y²

Answered: Image /qna-images/answer/58aacaec-3820-406c-ac10-7e8e137bdd72.jpg

Answered: Parametrize the intersection curve…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter8: Further Techniques And Applications Of Integration

Section8.3: Volume And Average Value

Problem 17E

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