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12. Let H be the hyperboloid where x² – y² + z² = 6. Find an equation for the tangent plane to H at the point (3, –2, –1).

12. Let H be the hyperboloid where x² – y² + z² = 6. Find an equation for the tangent plane to H at the point (3, –2, –1).

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...
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please send handwritten soution Q12

10. Swap the order of integration for fó Sz f(x, y)dydx. 11. Set up an integral that would calculate the volume of the solid bounded by the paraboloids z = 2x? + 2y? and z = 27 – x² – y². (You do NOT need to evaluate the integral.) 12. Let H be the hyperboloid where x2 – y? + z? = 6. Find an equation for the tangent plane to H at the point (3, –2, –1).
Transcribed Image Text:10. Swap the order of integration for fó Sz f(x, y)dydx. 11. Set up an integral that would calculate the volume of the solid bounded by the paraboloids z = 2x? + 2y? and z = 27 – x² – y². (You do NOT need to evaluate the integral.) 12. Let H be the hyperboloid where x2 – y? + z? = 6. Find an equation for the tangent plane to H at the point (3, –2, –1).
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