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3 years ago

Verify that: cos(x+y)cos(x-y)=cos^2x-sin^2y

1 answer:

4 0

COS(X+Y)COS(X-Y)
=(COSX*COSY-SINX*SINY)(COSX*COSY+SINX*SINY)
=(COSX*COSY)^2-(SINX*SINY)^2
=COS^2 X(1-SIN^2 Y)-(1-COS^2 X)SIN^2 Y
=COS^2 X -COS^2 X*SIN^2 Y-SIN^2 Y +COS^2 X SIN^2 Y
<span>=COS^2X-SIN^2Y</span>

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A dice is rolled. What is the probability that a 4 is rolled?

Mamont248 [21]

Answer:

I think 1/6

Step-by-step explanation:

There are 6 sides on a dice and only one 4. So then you have a 1/6 chance of rolling 4.

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2 years ago

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Find the general solution of (x+3)y’=2y

gregori [183]

Answer:

$y=C(x+3)^2$

Step-by-step explanation:

We are given:

$\displaystyle (x+3)y^\prime=2y$

Separation of Variables:

$\displaystyle \frac{1}{y}\frac{dy}{dx}=\frac{2}{x+3}$

So:

$\displaystyle \frac{dy}{y}=\frac{2}{x+3} \, dx$

Integrate:

$\displaystyle \int\frac{dy}{y}=\int\frac{2}{x+3}\, dx$

Integrate:

$\displaystyle \ln|y|=2\ln|x+3|+C$

Raise both sides to e:

$|y|=e^{2\ln|x+3|+C}$

Simplify:

$|y|=(e^{\ln|x+3|})^2\cdot e^C$

So:

$|y|=C|x+3|^2$

Simplify:

$y=\pm C(x+3)^2=C(x+3)^2$

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3 years ago

What’s the volume? For questions 2 through 9

allochka39001 [22]

2. 653.5 m^3
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7. 1900.1 m^3
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2 years ago

PLEASE HELP ASAPPP !!! WILL GIVE BRAINLIEST AND 5 STAR RATING

natta225 [31]

Answer:

1/3

Step-by-step explanation:

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1 year ago

Lynn has 8 candy bars. She wants to give 1/4 of a candy bar to each person in her class. She has 30 kids in her class. Does she

nevsk [136]

Yes, Lynn does have enough for each classmate in class, If she wants to give each kid 1/4 of a candy bar, 4(the amount of kids that can get candy per bar) x8(candy bars) would equal 32.

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2 years ago

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