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3 years ago

Solve for a PLS HURRY

Mathematics

2 answers:

Svet_ta [14]3 years ago

4 0

Answer: D

Step-by-step explanation:

This would be my answer, I think im right but I'd wait on someone else just to be sure.

ladessa [460]3 years ago

3 0

Answer:

I guess it is d

Step-by-step explanation:

make it braintliest please

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Find the general solution of x'1 = 3x1 - x2 + et, x'2 = x1.

Ann [662]

Note that if ${x_2}'=x_1$ , then ${x_2}''={x_1}'$ , and so we can collapse the system of ODEs into a linear ODE:

${x_2}''=3{x_2}'-x_2+e^t$
${x_2}''-3{x_2}'+x_2=e^t$

which is a pretty standard linear ODE with constant coefficients. We have characteristic equation

$r^2-3r+1=\left(r-\dfrac{3+\sqrt5}2\right)\left(r+\dfrac{3+\sqrt5}2\right)=0$

so that the characteristic solution is

${x_2}_C=C_1e^{(3+\sqrt5)/2\,t}+C_2e^{-(3+\sqrt5)/2\,t}$

Now let's suppose the particular solution is ${x_2}_p=ae^t$ . Then

${x_2}_p={{x_2}_p}'={{x_2}_p}''=ae^t$

and so

$ae^t-3ae^t+ae^t=-ae^t=e^t\implies a=-1$

Thus the general solution for $x_2$ is

$x_2=C_1e^{(3+\sqrt5)/2\,t}+C_2e^{-(3+\sqrt5)/2\,t}-e^t$

and you can find the solution $x_1$ by simply differentiating $x_2$ .

7 0

3 years ago

Anita plans to give her husband 3 shirts for his birthday. She narrows the search to 3 shirts from a selection of 17 shirts at D

Lunna [17]

Using the combination formula, it is found that she can select the shirts in 775,200 ways.

The order in which the shirt are chosen is not important, hence, the <em>combination formula</em> is used to solve this question.

Combination formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by:

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this problem:

3 shirts from a set of 17.

Then, 3 shirts from a set of 20.

They are independent, hence, to find the total, we multiply both combinations.

$T = C_{17,3} \times C_{20,3} = \frac{17!}{3!14!} \times \frac{20!}{3!17!} = 680 \times 1140 = 775200$

She can select the shirts in 775,200 ways.

To learn more about the combination formula, you can check brainly.com/question/25821700

5 0

2 years ago

Please help, I am stuck on this question.

tangare [24]

Vote me 1 star but what are they teaching yall

5 0

3 years ago

Which function in vertex form is equivalent to f(x) = 4 + x2 – 2x?

blondinia [14]

X^2 - 2x + 4
= (x - 1)^2 - 1 + 4
= (x - 1)^2 + 3

9 0

3 years ago

What is five and five eighths plus 11 and five eighths

mihalych1998 [28]

To add mixed numbers like you have here, you first have to convert them into fractions.

To do this, multiply the whole number part of the mixed number by the denominator, and add that value to the numerator.

So, 5 5/8 would become 45/8, because 5 x 8 = 40, and 40 + 5 = 45.
Likewise, 11 5/8 would become 93/8, because 11 x 8 = 88, and 88 + 5 = 93.
This gives us 45/8 + 93/8.

Now, to add the fractions. The two fractions have the same denominator already, so it is easy to add them. Simply add the numerators and keep the denominator the same.
The result of this is 143/8.

To simplify this to mixed number form, divide the numerator by the denominator. This results in 17.875. This means that 17 is your whole number part of the mixed number.
To find out how many eighths you'll have, multiply the 17 you just got by the denominator (8), and subtract the result from your large numerator. 17 x 8 = 136, and 143 - 136 = 7.

Your final result is 17 and 7/8.

4 0

3 years ago

Read 2 more answers