10. Swap the order of integration for Só Sà f(x,y)dydx.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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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