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# *+ - 10. 5 points TanADE alCE. 10 8. Evaluate the first partial derivatives of the function at the given point . I + !` 15 -'901 !

Hello, this is not a graded assignment. Please help me with these questions please so I can use them to study for a test. Thank you in advance.

17 .
*+ - 10. 5 points TanADE alCE. 10 8. 2.01.30 .
Evaluate the first partial derivatives of the function at the given point .
I + !`
15 -'901 !
I' -
\$16 , - 51 =
`E , - 51 =

18.
-/0.5 points TanApCalcBr10 8.2.040.
Find the second-order partial derivatives of the function. Show that the mixed partial derivatives fx, and fyx are equal.
f(x, y) = 9xVy + 9yVx
fxx =
fvy =
fxy =
fvx =

19.
-/0.5 points TanApCalcBr10 8.2.042.
Find the second-order partial derivatives of the function.
f(x, y) = In(2 + x2y2)
fxx
fyy =
fxy
=
fyx =

-/0.5 points TanApCalcBr10 8.2.062.
Let x = f(p, q) be the demand equation for the commodities A and B, where p and q are the respective unit prices. The elasticity of demand for A is
EQ = -
Pap
and the cross elasticity of demand for A with respect to q is
Eq = -
Suppose that the daily demand for margarine is given by
x = g(p, 9) = 1 + VP
(p, q &gt; 0)
where p and q denote the prices per pound (in dollars) of margarine and butter, respectively, and x is measured in millions of pounds. Compute Ep and Eq when p = 16 and q = 17. (Round your answers to two
decimal places.)
ED(16, 17) =
Eq(16, 17) =
Interpret your results. (Round your answers to two decimal places.)
So an increase of 1% in the price of margarine will result in a decrease of approximately
% in demand for margarine (with the price of butter held fixed at \$17/lb), while an increase of 1% in the price of
butter will result in a
% increase in the demand for margarine (with the price of margarine held fixed at \$16/lb).

Partial derivatives in calculus are derivatives of multivariate functions taken with respect to only one variable in the... View the full answer

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