Question: The following equations implicitly define one or more functions. a. Find dy/dx using implicit differentiation. b. Solve the given equation for y to identify the

The following equations implicitly define one or more functions.

a. Find dy/dx using implicit differentiation.

b. Solve the given equation for y to identify the implicitly defined functions y = f1(x), y = f2(x), . . . .

c. Use the functions found in part (b) to graph the given equation.

x²(4 – x) y² = 4 + x (right strophoid)

x(4 x) y = 4 + x

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