8. Find the local maximum and minimum values and saddle point(s) of the function ● • f(x, y) = sin(x) sin(y), 9. Evaluate the integral ● -π

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.
Chapter4: Calculating The Derivative
Section4.4: Derivatives Of Exponential Functions
Problem 14E
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8. Find the local maximum and minimum values and saddle point(s) of the function
• f(x, y) = sin(x) sin(y),
-π< X<π, -л<y<¹
9. Evaluate the integral
4 2
SS dydx
0 √x
1
10. Find a function f such that F = Vf and evaluate fFdr along the given curve C
• F(x, y, z) = (y²z+ 2xz²)i+2xyzj+(xy² + 2x²z) k
C:r(t) = √ti+(t + 1)j + t²k,
0≤t≤1
Transcribed Image Text:8. Find the local maximum and minimum values and saddle point(s) of the function • f(x, y) = sin(x) sin(y), -π< X<π, -л<y<¹ 9. Evaluate the integral 4 2 SS dydx 0 √x 1 10. Find a function f such that F = Vf and evaluate fFdr along the given curve C • F(x, y, z) = (y²z+ 2xz²)i+2xyzj+(xy² + 2x²z) k C:r(t) = √ti+(t + 1)j + t²k, 0≤t≤1
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