Does the method for finding the intersection of $2$ single variable functions work for multivariable functions?

tamola7f
2022-09-12
Answered

$2$ multivariable functions $Q(x,y)$ and $P(x,y)$, I was wondering if finding the point of intersection between these $2$ functions is as easy as making $Q(x,y)=P(x,y)$ as you would do for most single variable functions.

Does the method for finding the intersection of $2$ single variable functions work for multivariable functions?

Does the method for finding the intersection of $2$ single variable functions work for multivariable functions?

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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 2021-02-05

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 2021-09-17

Convert the equalities below equalities by adding sack variables. Use $s}_{1}\text{}\text{and}\text{}{s}_{2$ for your slack variables.

$3{x}_{1}+9{x}_{2}\le 42$ converts to () =42

$15{x}_{1}+7{x}_{2}\le 38$ converts to () = 38

asked 2021-09-08

Write an equation describing the relationship of the given variables.

y varies directly as the fourth power of x and when

asked 2021-01-05

Let $z={e}^{{x}^{2}+3y}+{x}^{3}{y}^{2}$ , where $x=t\mathrm{cos}r{\textstyle \phantom{\rule{1em}{0ex}}}\text{and}{\textstyle \phantom{\rule{1em}{0ex}}}y=r{t}^{4}$ . Use the chain rule fot multivariable functions (Cals III Chain Rule) to find $\frac{\partial z}{\partial r}$ and $\frac{\partial z}{\partial}t)$ . Give your answers in terms of r and t only. Be sure to show all of your work.

asked 2021-09-15

Solve for i in terms of other variables:

$F=C\left[\frac{{(1+i)}^{n}-1}{i}\right]$

asked 2021-11-14

Analysis of daily output of a factory during a 8-hour shift shows that the hourly number of units y produced after t hours of production is

$y=102t+12{t}^{2}-{t}^{3}$

$0\le t\le 8$

a) After how many hours will the hourly number of units be maximized?

a) After how many hours will the hourly number of units be maximized?