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4. [-/6 Points] DETAILS LARCALC11 2.5.021. MY NOTES ASK Consider the following. x + yz = 9 (a) Find two explicit functions by solving the

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4. [-/6 Points] DETAILS LARCALC11 2.5.021. MY NOTES ASK Consider the following. x + yz = 9 (a) Find two explicit functions by solving the equation for y in terms of x. (positive function) [negative function) (b) Sketch the graph of the equation and label the parts given by the corresponding explicit functions. 4 -6 -2 2 -2- -4 O 25 LLL -4 -6 -2 2 4 -2 -4 - 6- O O (c) Differentiate the explicit functions. dy/ dx = = (d) Find dy/dx through implicit differentiation. dy/dx = Is the result equivalent to that of part (c)? O Yes O No

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