PB6 - MATH 30 PROBLEMS OF THE WEEK SET 6 1 A car speeding...

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MATH 30 PROBLEMS OF THE WEEK SET 6 1. A car speeding around a curve in the shape of 2 y x = (moving from left to right) skids off the road at the point 1 1 , 2 4 . Will the car hit a tree located at 3 1, 4 ? 2. To perform implicit differentiation on an equation such as 2 2 3 x y + = x 1 we start by differentiating all terms with respect to x. We get 2 2 2 xy x y + = . Many students learn the rules this way: Take “regular” derivatives of all terms, and tack on a y , that is dy dx , every time you take a y-derivative.
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