Solve for y: 0=u-5y+1.

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.
${\displaystyle P\left(x\right)=-12x^2+2136x-41000}$
To maximize the monthly rental profit , how many units should be rented out?
What is the maximum monthly profit realizable?

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

${\displaystyle Letf\left(x\right)=x^5+5x^4+6x+3.}$
a. Conduct a sign analysis of f"". That is, determine the sign off"" on each interval. Make sure to show how you found the boundaries (endpoints) of the intervals and how you computed the sign in each interval.
b. indicate the intervals, if any, on which fis concave up and the intervals, if any, on which fis concave down.
c. Find the x-coordinates of any inflection points of f. If there are more than one, enter them as a comma- separated list. If there are none, enter ""DNE""

The reason to find points of intersection of polar graph which may require further analysis beyond solving two equations simultaneously
Take examples of two polar equations ${\displaystyle r=1-2\cos \theta }$ and ${\displaystyle r=1}$.

A surface is represented by the following multivariable function,
${\displaystyle f(x,y)=x^3+y^3-3x-3y+1}$
Calculate coordinates of stationary points.

Find all complex zeros of the polynomial function. Give exact values. List multiple zeros as necessary.
${\displaystyle f\left(x\right)=x^4-5x^3-36x^2+272x-448}$
All complex zeros are=?

Average value over a multivariable function using triple integrals. Find the average value of ${\displaystyle F(x,y,z)=x^2+y^2+z^2}$ over the cube in the first octant bounded bt the coordinate planes and the planes $x=5$, $y=5$, and $z=5$