Engineering Calculus Notes 352

Engineering Calculus Notes 352 - x 2 + y 2 + z 2 = 1 which...

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340 CHAPTER 3. REAL-VALUED FUNCTIONS: DIFFERENTIATION 4. Find the minimum and maximum values of f ( x,y ) = sin x sin y sin( x + y ) inside the square 0 x π 0 y π 5. Find the minimum and maximum values of f ( x,y ) = ( x 2 + 2 y 2 ) e ( x 2 + y 2 ) in the plane. 6. Find the minimum and maximum values of f ( x,y,z ) = xyz on the sphere x 2 + y 2 + z 2 = 1 . 7. Find the point on the sphere
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Unformatted text preview: x 2 + y 2 + z 2 = 1 which is farthest from the point (1 , 2 , 3). 8. Find the rectangle of greatest perimeter inscribed in the ellipse x 2 a 2 + y 2 b 2 = 1 . Theory problems: 9. Show that each of the following is a closed set, according to Denition 3.6.3 :...
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This note was uploaded on 10/20/2011 for the course MAC 2311 taught by Professor All during the Fall '08 term at University of Florida.

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