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2 years ago

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A group of adults plus one child attends a movie at a movie theater tickets cost $11 for adults and three dollars for children t

he total cost for the movie is $102 Internet question to find the number of adults in the group

1 answer:

AfilCa [17]2 years ago

6 0

9 adults

Step-by-step explanation:

$102-$3= $98

$98÷$11= 9 Adults

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Set up but do not solve for the appropriate particular solution yp for the differential equation y′′+4y=5xcos(2x) using the Meth

taurus [48]

Answer:

So, solution of the differential equation is

$y(t)=-\frac{5x^2}{4}\cot 2x\cdot \cos 2x+c_1e^{-2it}+c_2e^{2it}\\$

Step-by-step explanation:

We have the given differential equation: y′′+4y=5xcos(2x)

We use the Method of Undetermined Coefficients.

We first solve the homogeneous differential equation y′′+4y=0.

$y''+4y=0\\\\r^2+4=0\\\\r=\pm2i\\\\$

It is a homogeneous solution:

$y_h(t)=c_1e^{-2i t}+c_2e^{2i t}$

Now, we finding a particular solution.

$y_p(t)=A5x\cos 2x\\\\y'_p(t)=A5\cos 2x-A10x\sin 2x\\\\y''_p(t)=-A20\sin 2x-A20x\cos 2x\\\\\\\implies y''+4y=5x\cos 2x\\\\-A20\sin 2x-A20x\cos 2x+4\cdot A5x\cos 2x=5x\cos 2x\\\\-A20\sin 2x=5x\cos 2x\\\\A=-\frac{x}{4} \cot 2x\\$

we get

$y_p(t)=A5\cos 2x\\\\y_p(t)=-\frac{5x^2}{4}\cot 2x\cdot \cos 2x\\\\\\y(t)=y_p(t)+y_h(t)\\\\y(t)=-\frac{5x^2}{4}\cot 2x\cdot \cos 2x+c_1e^{-2it}+c_2e^{2it}\\$

So, solution of the differential equation is

$y(t)=-\frac{5x^2}{4}\cot 2x\cdot \cos 2x+c_1e^{-2it}+c_2e^{2it}\\$

7 0

2 years ago

I need someone to help me solve this

andrezito [222]

Answer:

see explanation

Step-by-step explanation:

Calculate C by adding corresponding components of A + B

C = $\left[\begin{array}{ccc}4\\-7.5\\\end{array}\right]$ + $\left[\begin{array}{ccc}-2.5\\5\\\end{array}\right]$

= $\left[\begin{array}{ccc}4-2.5\\-7.5+5\\\end{array}\right]$

= $\left[\begin{array}{ccc}1.5\\-2.5\\\end{array}\right]$

8 0

2 years ago

Read 2 more answers

Two cars leave towns 300 kilometers apart at the same time and travel toward each other. One car's rate is 10 kilometers per hou

mel-nik [20]

$300 \div 120 = 2.5$
so 2.5 kilometers per second

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2 years ago

b)suppose only 1 in every 1,000 stars in the observable universe has a planetary system. how many planetary system are there? Fi

rosijanka [135]

Answer:

Please read below :)

Step-by-step explanation:

so you have 1 in a 1000, or 1/1000. But you're missing a part of the answer. If you post the whole answer I can give you the correct answer :)

5 0

2 years ago

Please write out the problem on paper

skad [1K]

Your answer will be n5

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2 years ago