Reeves
2021-09-16
Answered

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Find $\frac{dy}{dx}$ by implicit differentiation.
${y}^{2}-2x=4y$

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Arnold Odonnell

Answered 2021-09-17
Author has **109** answers

Given:

Differentiating with respect to x

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 2021-11-22

A commodity has a demand function modeled by $p=126-0.5x$ and a total cost function modeled by $C=50x+39.75$ , where x is the number of units.

(a)Use the first marginal analysis criterion presented in class to find the production level that yields a maximum profit. Then use the second criterion to ensure that level yields a maximum and not a minimum. Finally, what unit price (in dollars) yields a maximum profit?

$ per unit

(b)When the profit is maximized, what is the average total cost (in dollars) per unit? (Round your answer to two decimal places.)

$ per unit

(a)Use the first marginal analysis criterion presented in class to find the production level that yields a maximum profit. Then use the second criterion to ensure that level yields a maximum and not a minimum. Finally, what unit price (in dollars) yields a maximum profit?

$ per unit

(b)When the profit is maximized, what is the average total cost (in dollars) per unit? (Round your answer to two decimal places.)

$ per unit

asked 2021-09-07

Which interval is wider: (a) the 95% confidence interval for the conditional mean of the response variable at a particular set of values of the predictor variables or (b) the 95% prediction interval for the response variable at the same set of values of the predictor variables?

asked 2021-11-13

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

$y=140t+\frac{1}{2}{t}^{2}-{t}^{3},\text{}0\le t\le 8$

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

b) What is the maximum hourly output?$\frac{units}{hr}$

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

b) What is the maximum hourly output?

asked 2021-09-07

Find the complex zeros of the following polynomial function. Write f in factored form.

${x}^{4}+2{x}^{3}+22{x}^{2}+50x-75$

The complex zeros of f are ?

Use the complex zeros to factor f.

The complex zeros of f are ?

Use the complex zeros to factor f.

asked 2021-09-17

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

$P\left(x\right)=-11{x}^{2}+1830x-34000$

(a) What is the actual profit realized from renting the 41st unit, assuming that 40 units have already been rented?

(a) What is the actual profit realized from renting the 41st unit, assuming that 40 units have already been rented?