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3 years ago

I need help!!!!!!!!!!!

Mathematics

1 answer:

vesna_86 [32]3 years ago

6 0

Answer:

Step-by-step explanation:

g-(3,3)

h-(-5,3)

j- (5,-5)

Plz name me brainliest

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15. If x=a Sin2t (I+Cos2t) and y=b Cos 2t (1-Cos2t) then find<br>dy/dx at =22/7*4<br>

Sav [38]

By the chain rule,

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\mathrm dy}{\mathrm dt}\dfrac{\mathrm dt}{\mathrm dx}\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\frac{\mathrm dy}{\mathrm dt}}{\frac{\mathrm dx}{\mathrm dt}}$

It looks like we're given

$\begin{cases}x=a\sin(2t)(1+\cos(2t))\\y=b\cos(2t)(1-\cos(2t))\end{cases}$

where <em>a</em> and <em>b</em> are presumably constant.

Recall that

$\cos^2t=\dfrac{1+\cos(2t)}2$

$\sin^2t=\dfrac{1-\cos(2t)}2$

so that

$\begin{cases}x=2a\sin(2t)\cos^2t\\y=2b\cos(2t)\sin^2t\end{cases}$

Then we have

$\dfrac{\mathrm dx}{\mathrm dt}=4a\cos(2t)\cos^2t-4a\sin(2t)\cos t\sin t$

$\dfrac{\mathrm dy}{\mathrm dt}=-4b\sin(2t)\sin^2t+4b\cos(2t)\sin t\cos t$

$\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{4b\cos(2t)\sin t\cos t-4b\sin(2t)\sin^2}{4a\cos(2t)\cos^2t-4a\sin(2t)\cos t\sin t}$

$\implies\boxed{\dfrac{\mathrm dy}{\mathrm dx}=\dfrac ba\tan t}$

where the last reduction follows from dividing through everything by $\cos(2t)\cos^2t$ and simplifying.

I'm not sure at which point you're supposed to evaluate the derivative (22/7*4, as in 88/7? or something else?), so I'll leave that to you.

8 0

3 years ago

The girls soccer team won 10 games and the lost 2. And the boys soccer team won 12 games and lost 3. What is the ratio of the gi

faltersainse [42]

10:12. If you want to simplify it, then 5:6

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3 years ago

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If you have a four digit code, where each digit can be any number from 0-9, what is the total number of possible four digit code

Aleksandr [31]

Exactly 10,000 it’s hard to explain though it’s really complicated

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3 years ago

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I HAVE A FEW MINS PLEASE HEELPPP! FOR BRIANLIEST!

riadik2000 [5.3K]

Answer:

For each of the possible outcomes add the numbers on the two dice and count how many times this sum is 7. If you do so you will find that the sum is 7 for 6 of the possible outcomes. Thus the sum is a 7 in 6 of the 36 outcomes and hence the probability of rolling a 7 is 6/36 = 1/6

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2 years ago

What is the simplified expression for

Anni [7]

Answer:

Step-by-step explanation:

$3a^2+9ab+5-4a^2-4ab+3\qquad\text{combine like terms}\\\\=(3a^2-4a^2)+(9ab-4ab)+(5+3)\\\\=-a^2+5ab+8$

4 0

3 years ago

I need help!!!!!!!!!!!​

I need help!!!!!!!!!!!