Solve for G.S. / P.S. for the following differential equations using separation of variables.

$2{\mathrm{sin}}^{2}2tdx=\mathrm{cos}x(1+\mathrm{cos}2x)dt$

DofotheroU
2021-09-08
Answered

Solve for G.S. / P.S. for the following differential equations using separation of variables.

$2{\mathrm{sin}}^{2}2tdx=\mathrm{cos}x(1+\mathrm{cos}2x)dt$

You can still ask an expert for help

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 2021-11-16

a) A low voltage transformer manufacturing line has a purchase order of 1700 piece, If the manufacturing line production rate is 22 piece per minute use dimensional analysis techniques to determine the time taken to produce the requested transformers tothe nearest minut in hours and minutes.

b) Assume that the production time of a transformer can be given by the following formals:

$t=G{m}^{\frac{1}{3}}{v}^{-3}{l}^{2}$

Where m is the mass of the transformer in kg, v is the velocity of the manufacturing line in$\frac{m}{s}$ and l is the length of the production line in meters. Find the diamensions of G.

c) In b, if$m=220$ grams, $l=10.2m,\text{}v=2.3\frac{m}{s}$ and time is 30.1 ms. Find G?

b) Assume that the production time of a transformer can be given by the following formals:

Where m is the mass of the transformer in kg, v is the velocity of the manufacturing line in

c) In b, if

asked 2021-10-04

For a marketing analysis,you want to ask 125 people how they

like the colours red,green and blue.After your questions,your

questions,you discover that.

55 people like red.

60 people like blue.

50 people like green.

like the colours red,green and blue.After your questions,your

questions,you discover that.

55 people like red.

60 people like blue.

50 people like green.

asked 2021-11-17

At HD Sport and Fitness gym, analysis shows that, as the demand of the gym, the number of members is 86 when
annual membership fee is $25 per member and the number of members is 84 when annual membership fee is
$33 per member. As the operator of the gym, you found out that number of members (q) and membership fee
(p) have a linear relationship.

A) At what membership price, p , is the revenue maximized?

p=

Round your answer to 2 decimal places.

B) What is the maximum annual revenue?

R=.

Round your answer to 2 decimal places.

A) At what membership price, p , is the revenue maximized?

p=

Round your answer to 2 decimal places.

B) What is the maximum annual revenue?

R=.

Round your answer to 2 decimal places.

asked 2021-01-31

Nonexistence of a limit Investiage the limit
$\underset{(x,y)\to (0,0)}{lim}\frac{{(x+y)}^{2}}{{x}^{2}+{y}^{2}}$

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 ${a}^{3}-{b}^{3}=(a-b)({a}^{2}+ab+{b}^{2})$

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