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MAT 1.003 Calculus II
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Find the parametric equations of the normal line to the surface at point (1,1,2).
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A flat circular plate has the shape of the region . The temperature at point is given by . Find the temperatures at the hottest and coldest points on the plate.
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Find the parametric equations of the normal line to at point (1,0,f(1,0)).
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Which of the following correctly represents the second order partial derivative of with respect to twice?
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If defines implicitly as a function of , what must be true for to be differentiable with respect to ?
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Find the derivative of at point in the direction of .
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Find the equation of the tangent plane to at the point (1, 2, 5).
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If , then :
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Find the mixed second-order partial derivative of the function:
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The plane intersects the cylinder in an ellipse. Find the points on this ellipse that are closest to and farthest from the origin.
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