MATHEMATICS COLLEGE

Find an explicit solution (solved for y) of the given initial-value problem in terms of an integral function. dy/dx + 3y = e^x^5, y(2) = 5.

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

Using linear differential equation method:

\frac{\mathrm{d} y}{\mathrm{d} x}+3y=e^5^x

I.F.= e^{\int {Q} \, dx }

I.F.=e^{\int {3} \, dx }

I.F.=e^(3x)

y(x)=(1)/(e^(3x))[\int {e^(5x)} \, dx+c]

y(x)=(e^(2x))/(5)+e^(-3x)* c

substituting x=2

c=(25-e^4)/(5e^(-6))

Now

y=(e^(2x))/(5)+e^(-3x)* (25-e^4)/(5e^(-6))

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Find the measure of angle b ​

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Answer:

49 degrees

Step-by-step explanation:

You just subtract 41 degrees from 90 degrees because it's a right angle.

What is the system of checks and balances designed to ensure?

Answers

Answer:

ensure that no single branch of government would have too much power

Step-by-step explanation:

How to work 48÷(4+2×10)-1​

Answers

Answer:

The answer is 1

Step-by-step explanation:

In order to do this equation you use PEMDAS Parentheses, Exponents, Multiplication , Division, Addition and Subtraction

So,

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Hoped this helped :D

A product p and six is wrtten as

Answers

Answer: 6p

Explanation: The word "product" is a

keyword that tells us to use multiplication.

So your answer can be written as 6 · p or just 6p.

Don't write your answer as p6.

Even though it's technically correct, I would always put

the number before the variable as a matter of form.

Answer:

6p

Step-by-step explanation:

Choose the equation and the inequality needed to answer this question.Trevor tutors French for $15 and hour and scoops ice cream for $10 an hour. He is going to work 15 hours this week. At least how many hours does he need to tutor to make more than $180? Let x equal the number of hours he tutors and y be the number of hours he scoops ice cream.

Options (you can pick more than one):

x + y = 15
x + y > 15
x + y < 15
15x + 10y = 180
15x + 10y > 180
15x + 10y < 180


So far all I have it the fourth option (15x + 10y = 180).

Answers

Answer:

Actually, what you said you have so far is not correct.  The 2 correct answers are the 1st one (x + y = 15) and the 5th one (15x + 10y > 180)

Step-by-step explanation:

If tutoring French is x hours and scooping ice cream is y hours and he is going to work 15 hours for sure doing both, then we can add them together to get that x hours + y hours = 15 hours, or put simply:  x + y = 15.

Now we are going to throw in the added fun of the money he makes doing each.  The thing to realize here is that we can only add like terms.  So looking at the equation above, we have x hours of tutoring and y hours of scooping, so if we want to add them, we will add those number of hours together to get the total number of hours he worked, which we know to be 15.  The same goes for money.  If we add money earned from tutoring to money earned from scooping, we need that to be greater than the money he wants to earn which is 180 at least.  Because he wants to earn MORE than $180. we use the ">" sign.  Since he earns $15 an hour tutoring, that expression is $15x; since he earns $10 an hour scooping, that expression is $10y.  Now add them together (and you CAN because they are both expressions relating dollars to dollars) and set the sum > $180:

$15x + $10y > $180.  That's why your answer is not correct.  Use mine (with the understanding that you care about why yours is wrong and mine is correct) and you'll be fine.

Is the answer a, b, c, or d.

Answers

The correct answer is D.

-2 \leq y\ \textless \ 3

The graph shows the set of values that y takes, so you can see that the thick black line goes from -2 to 3 and the black point at -2 represents a closed interval at this point and the empty point at 3 represents an open interval at that point.
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