63. Witch of Agnesi Let y(+4)= 8 (see figure). dy a. Use implicit differentiation to find dx b. Find equations of all lines tangent to the curve y(+4)=8 when y=1. c. Solve the equation y(x+4)= 8 for y to find an explicit expression for y and then calculate d. Verify that the results of parts (a) and (c) are consistent. dy dx

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