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Unformatted text preview: x 2) + 8( y 1) = 0 which simpliFes to 8 y = 16 4 x or y = x 2 + 2. The level curve is an ellipse whose intersects are ( 8 , 0) and (0 , 2). The gradient vector is perpendicular to the tangent line at (2 , 1) and it points to the outside of the ellipse. 2. (5 points) Find all the second partial derivatives of the function u ( s, t ) = e-s sin t . Solution. The rst partial derivatives are the following u s = e-s sin t and u t = e-s cos t The second partial derivatives are u ss = e-s sin t, u tt = e-s sin t, u st = u ts = e-s cos t...
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This note was uploaded on 04/29/2008 for the course MATH 20C taught by Professor Helton during the Fall '08 term at UCSD.
- Fall '08