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3 years ago

HELP PLEASE !!!!!!!!!!!!!!

Mathematics

1 answer:

max2010maxim [7]3 years ago

6 0

This is the answer for your question above

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Solve y′′=sin(x) if y(0)=0 and y′(0)=5. y(x)=?

Ksenya-84 [330]

Answer:

$y(x)=6x-sin(x)$

Step-by-step explanation:

Rewrite the differential equation as:

$\frac{d^{2} y }{dx^{2} } =sin(x)$

Integrate both sides with respect to x:

$\int\ \frac{d^{2} y }{dx^{2} } dx = \int\ sin(x) dx$

$\frac{dy}{dx} =-cos(x)+C_1$

Integrate one more time both sides with respect to x:

$\int\ \frac{dy}{dx} = \int\ -cos(x)+C_1 dx$

$y(x)=-sin(x)+C_1x+C_2$

Now that we find the solution, let's find its derivate:

$y'(x)=C_1-cos(x)$

Evaluating the initial conditions:

$y(0)=C_1(0)+C_2-sin(0)=0\\C_2=0$

$y'(0)=C_1-cos(0)=5\\C_1=5+1=6$

Replacing the value of the constants that we found in the differential equation solution:

$y(x)=6x-sin(x)$

6 0

3 years ago

Pablo only has $24.74 (at max) for visiting a funhouse. The haunted house has an entrance fee of $3.05 with a $0.32 charge for e

Ipatiy [6.2K]

THE ANSWER IS $22.01

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3 years ago

Read 2 more answers

Sandra and Bernice are starting a nutrition and exercise program that will last 12 weeks. Sandra is starting at 150 pounds and p

Anvisha [2.4K]

Answer:

They will not have the same weight during the program

Step-by-step explanation:

Let x be the number of weeks.

Sandra:

Sandra is starting at 150 pounds and plans to lose 1 pound a week.

Weight after x weeks:

$150-x$

Bernice:

Bernice is starting at 135 pounds and plans to lose 1/2 a pound a week.

Weight after x weeks:

$135-\dfrac{1}{2}x$

Weights must be the same, so

$150-x=135-\dfrac{1}{2}x\\ \\\dfrac{1}{2}x-x=135-150\\ \\-\dfrac{1}{2}x=-15\\ \\x=30$

Since 30 weeks is more that 12 weeks (the duration of the program), they will not have the same weight during this program.

6 0

3 years ago

Probability theory predicts that there is a 22.4% chance of a particular soccer player making four penalty shots in a row. If th

emmasim [6.3K]

If there is a 22.4% chance that a soccer player will make 4 shots in a row, then the probability that he/she WON'T make 4 shots in a row is...

100 -22.4 = 77.6%

So the number of simulations that he/she will miss at least one shot in 2500 simulations would be...

2500 x 77.6% =
2500 x .776 = 1940

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3 years ago

Read 2 more answers

Can someone help me with this?

s344n2d4d5 [400]

9514 1404 393

Answer:

C) 2.5 < x < 5.5

Step-by-step explanation:

"Decreasing" means any point to the right of the one you're looking at has a lower y-value. This is the case for all of the points having x-values more than 2.5 and less than 5.5.

The graph is decreasing on the interval ...

2.5 < x < 5.5

5 0

3 years ago