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Please Show All Work, if needed! Place answers in ANSWER box, if provided. 1. (3 points) Use implicit differentiation to find the slope of the

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Please Show All Work, if needed! Place answers in ANSWER box, if provided. 1. (3 points) Use implicit differentiation to find the slope of the tangent line to the curve at the given point. x2 +2xy- y2+x=20, (4,8) 1 ) 2. (3 points) A box with an open top is to be constructed from a square piece of cardboard with dimensions 8 cm x 8 cm. This box is constructed by cutting out a square from each of the four corners and bending up the sides. Find the largest volume that such a box can have. 2)

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