Midterm 2 Solutions- 2013 - Math 10C Spring 2013 Prof Ben...

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Midterm 2 SolutionsMath 10C. Spring 2013.Prof. Ben Hummon1. Consider the following function.z=f(x, y) =radicalbig25x2y2(a) Findf(2,5).(b) Find the gradientf.(c) Evaluate the gradient atP=(2,5).(d) Make a contour diagram withz= 3,4,and5contours. Please also draw and label thepointP=(2,5).(e) Find an equation for the tangent line to the level set atP=(2,5).Solution.
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Midterm 2 SolutionsMath 10C. Spring 2013.Prof. Ben Hummon
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Midterm 2 SolutionsMath 10C. Spring 2013.Prof. Ben Hummon

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