Find the four second partial derivatives. Observe that the second mixed partials are equal z=x^2+8xy+3y^2

2,8,8,6

Step-by-step explanation:

According to Clairaut's theorem, for most cases, the mixed partial derivatives are equal. In this case, it is.

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

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step-by-step explanation: