My task is to find the critical points of this multivariable function (Determine the set of critical points of the function). Now I found the partial derivative to be

Wolfram Alpha says the critical point(s) is/are at

poveli1e
2022-01-25
Answered

My task is to find the critical points of this multivariable function (Determine the set of critical points of the function). Now I found the partial derivative to be

Wolfram Alpha says the critical point(s) is/are at

You can still ask an expert for help

Brynn Ortiz

Answered 2022-01-26
Author has **12** answers

Only one critical point is located on the line $y=x$ . There are an infinite number of critical points on the lines $y=\pm 1$

Rosa Nicholson

Answered 2022-01-27
Author has **13** answers

How did you compute that?

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 2022-01-04

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

asked 2021-09-13

A polynomial P is given.

a)Find all zeros of P , real and complex.(Enter your answers as a comma-separated list. Enter your answers as a comma-separated list.)

b) Factor P completely.

asked 2022-04-30

Solve for x in the equation a-7x+4=0.

asked 2021-09-09

Solve using separation of variables:

asked 2021-09-06

Convert the equation into a first-order linear differential equation system with an appropriate transformation of variables.