he298c
2021-09-19
Answered

Find the Jacobian of the transformation

$x=u+4v,y={u}^{2}-2v$

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Brittany Patton

Answered 2021-09-20
Author has **100** answers

Basic information:

given:

we thear v as command.

we thear u as command.

Calculation of Jacobian

Now,

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 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 2022-01-22

How do you find critical points of multivariable function $f(x,y)={x}^{3}+xy-{y}^{3}$

asked 2021-09-17

There are four washing machines in an apartment complex: A, B, C, D. On any given day the probability that these machines break down is as follows:

P(A) = 0.04, P(B) = 0.01, P(C) = 0.06, P(D) = 0.01 .

Assume that the functionality of each machine is independent of that of others. What is the probability that on a given day at least one machine will be working?

P(A) = 0.04, P(B) = 0.01, P(C) = 0.06, P(D) = 0.01 .

Assume that the functionality of each machine is independent of that of others. What is the probability that on a given day at least one machine will be working?

asked 2021-09-11

Solve each equation over the set of complex numbers, find the magnitudes of the solutions and draw them in the complex plane. Hint: For some of the equations , to get n roots you must use ${a}^{3}+{b}^{3}=(a+b)({a}^{2}-ab+{b}^{2})$ and ${a}^{3}-{b}^{3}=(a-b)({a}^{2}+ab+{b}^{2})$

${x}^{6}-1=0$

asked 2021-09-16

Let

(a) Show that

(b) Show that the (i,j) entries of