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3 years ago

10

Aisha knit a total of 4 centimeters of scarf over 2 nights. After 9 nights of knitting, how many centimeters of scarf will Aisha

have knit in total

1 answer:

Luda [366]3 years ago

6 0

Answer:

22 cm

step by step explanation:

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Find the solution of the differential equation that satisfies the given initial condition. y' tan x = 3a + y, y(π/3) = 3a, 0 &lt

Paladinen [302]

Answer:

$y(x)=4a\sqrt{3}* sin(x)-3a$

Step-by-step explanation:

We have a separable equation, first let's rewrite the equation as:

$\frac{dy(x)}{dx} =\frac{3a+y}{tan(x)}$

But:

$\frac{1}{tan(x)} =cot(x)$

So:

$\frac{dy(x)}{dx} =cot(x)*(3a+y)$

Multiplying both sides by dx and dividing both sides by 3a+y:

$\frac{dy}{3a+y} =cot(x)dx$

Integrating both sides:

$\int\ \frac{dy}{3a+y} =\int\cot(x) \, dx$

Evaluating the integrals:

$log(3a+y)=log(sin(x))+C_1$

Where C1 is an arbitrary constant.

Solving for y:

$y(x)=-3a+e^{C_1} sin(x)$

$e^{C_1} =constant$

So:

$y(x)=C_1*sin(x)-3a$

Finally, let's evaluate the initial condition in order to find C1:

$y(\frac{\pi}{3} )=3a=C_1*sin(\frac{\pi}{3})-3a\\ 3a=C_1*\frac{\sqrt{3} }{2} -3a$

Solving for C1:

$C_1=4a\sqrt{3}$

Therefore:

$y(x)=4a\sqrt{3}* sin(x)-3a$

3 0

4 years ago

PLEASE HELP!!!! and show your work

Goryan [66]

The answer would be

4.41

my work is in the image below

hope this helps :)

4 0

3 years ago

Can you please help and explain I will give brainliest or thanks

9966 [12]

ok so the answers are going to be in order so..... 12, 3.5, and 31.5. if u need help, yell at me on my profile.

4 0

4 years ago

Please answer ASAP!!!!!

taurus [48]

The answer would be 2. This is because 28 divided by 10 is 2 and 4/5 and 42 divided by 2 and 4/5 is 15 and 7 times 2 plus 1 is 15.

6 0

3 years ago

When 6 is added to four-times a boy's current age the results are 58 years old what is the boy's current age

topjm [15]

he is 13

easy math!!

5 0

3 years ago