Find the location of the maxima, minima, and saddle points of f(x,y), if any, given the partial derivatives below. Describe your reasoning in each case. a. fy = 3x - 4y and f, = 3y - 4x b. fy = 4x - 8 and fy = 2y -6 c. fy = 7x2 - 7 and fy = 2y +2 Are there any local minima? Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. A local minimum occurs at (Type an ordered pair. Use a comma to separate answers as needed. The value(s) of fyx at this/these point(s) is/are and the value(s) of fyxfyy - fy at this/these point(s) is/are (Type an exact answer. Use a comma to separate answers as needed.) B. There are no local minima. Are there any saddle points? Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. A saddle point occurs at (Type an ordered pair. Use a comma to separate answers as needed.) The value(s) of fyyfw - f, at this/these point(s) is/are (Simplify your answers. Use a comma to separate answers as needed.) O B. There are no saddle points.

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