How to find expressions for $f}_{xx$ and $f}_{yy$ for the multivariable function $f(x,y)=\mathrm{ln}\left({x}^{2}y\right)+{y}^{3}{x}^{2}$ ?

Teddy Dillard
2022-01-04
Answered

How to find expressions for $f}_{xx$ and $f}_{yy$ for the multivariable function $f(x,y)=\mathrm{ln}\left({x}^{2}y\right)+{y}^{3}{x}^{2}$ ?

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Lindsey Gamble

Answered 2022-01-05
Author has **38** answers

For finding

Now, for finding

Try in the same way for

raefx88y

Answered 2022-01-06
Author has **26** answers

Thanks, it's helpful because it shows the way. Anyway, there is $a}^{2$ after x at last.

asked 2021-02-05

Use polar coordinates to find the limit. [Hint: Let $x=r\mathrm{cos}{\textstyle \phantom{\rule{1em}{0ex}}}\text{and}{\textstyle \phantom{\rule{1em}{0ex}}}y=r\mathrm{sin}$ , and note that (x, y) (0, 0) implies r 0.]
$\underset{(x,y)\to (0,0)}{lim}\frac{{x}^{2}-{y}^{2}}{\sqrt{{x}^{2}+{y}^{2}}}$

asked 2021-09-08

Lynbrook West , an apartment complex , has 100 two-bedroom units. The montly profit (in dollars) realized from renting out x apartments is given by the following function.

$P\left(x\right)=-12{x}^{2}+2136x-41000$

To maximize the monthly rental profit , how many units should be rented out?

What is the maximum monthly profit realizable?

To maximize the monthly rental profit , how many units should be rented out?

What is the maximum monthly profit realizable?

asked 2021-09-09

FILL IN THE BLANKS(EXPLAIN IN ONE OR TWO LINES)

imagine that the true number of variables should be included in a logistic regression model is 7 out of ten variables available .

then , in order to find the optimal model with 7 variables , the number of varaibels included in the training should be higher than _______

imagine that the true number of variables should be included in a logistic regression model is 7 out of ten variables available .

then , in order to find the optimal model with 7 variables , the number of varaibels included in the training should be higher than _______

asked 2020-10-27

Relative extrema of multivariables:

$f(x,y)=\frac{xy}{7}$

find critical points and relative extrema, given an open region.

find critical points and relative extrema, given an open region.

asked 2021-11-15

The analysis of tooth shrinkage by

Loring Brace and colleagues at the University of Michigan’s Museum of Anthropology indicates that human tooth size is continuing to decrease and that the evolutionary process has not yet come to a halt. In northern Europeans, for example, tooth size reduction now has a rate of 1% per 1000 years. In about how many years will human teeth be 90% of their present size?

Loring Brace and colleagues at the University of Michigan’s Museum of Anthropology indicates that human tooth size is continuing to decrease and that the evolutionary process has not yet come to a halt. In northern Europeans, for example, tooth size reduction now has a rate of 1% per 1000 years. In about how many years will human teeth be 90% of their present size?

asked 2021-09-03

Let $X}_{1},{X}_{2},\dot{s},{X}_{n$ be n independent random variables each with mean 100 and standard deviation 30. Let X be the sum of these random variables. Find n such that Pr$\left(X>2000\right)\ge 0.95$

asked 2021-09-15

Solve the system of equation by the method of your choice.

${x}^{2}+{(y-9)}^{2}=49$

${x}^{2}-7y=-14$