Consider the following: 36x + 49y- 1764 (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. y y 15t 15 10 10 we.. -10 -5 10 -10 -5 5 10 -SE -10 - 10 F -15 -15F 15 y 15 10 10 -10 -5 5 10 -10 -5 10 -5E -5 - 10 10 -15 -15t (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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