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Suppose the function f(x,y)f(x,y) has the critical point (0,4). Suppose fxx(0,4)>0 and fyy(0,4) <0. Which of the following are possible? Select all that apply. a.

Suppose the function f(x,y)f(x,y) has the critical point (0,4). Suppose fxx(0,4)>0 and fyy(0,4)<0. Which of the following are possible? Select all that apply.

a. The second derivative test could be inconclusive.

b. (0,4) could be a local maximum.

c. (0,4) could be a saddle point.

d. (0,4)could be a local minimum.

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