Round the following to three decimal places.
: A. 1.4366 B. 0.8792
C. 0.3455

Complete Question

Find a particular solution to [tex]ty''-(1+t)y'+y=t^2e^t , t > 0[/tex]  

[tex]y_1 = 1 + t , \ y_2 = e^t[/tex]

Answer:

The solution is    [tex]y_p = -e^{2t} + t + \frac{3t^2}{2} + \frac{t^3}{2}[/tex]

Step-by-step explanation:

  Now the given equation is [tex]ty''-(1+t)y'+y=t^2e^t , t > 0[/tex]

             dividing through by  t

       We have  

         [tex]y'' - \frac{1 + t }{t}y' + \frac{1}{t} y = te^t \\\\ let's\ call\ it \ g(t)[/tex]

Now for the given initial value we can generate our Wronskian as follows

        [tex]W(y_1 ,y_2) = | \left y_1} \atop {y_1'}} \right. \left y_2} \atop {y_2'}} \right | = | \left {(1 + t)} \atop {1}} \right. \left e^t} \atop {e^t}} \right | = (1 + t )e^t - e^t = te^t[/tex]

Now applying  method of variation of parameters to obtain the particular solution

So here we assume that

          [tex]y_p = v_1 y_1 + v_2 y_2[/tex]

So

       [tex]v_1 = - \int\limits {\frac{y_2 (t) g(t)}{W(t)} } \, dt = - \int\limits {\frac{e^t te^t}{te^t} } = - \int\limits { e^t} } = -e^t[/tex]

And

    [tex]v_2 = - \int\limits {\frac{y_1 (t) g(t)}{W(t)} } \, dt = - \int\limits {\frac{(1 + t) te^t}{te^t} } = - \int\limits (1 + t) = t + \frac{t^2}{2}[/tex]

So

     [tex]y_p = -e^t * e^t + t + \frac{t^2}{2} * 1 + t[/tex]

     [tex]y_p  =  -e^{2t}   +  t +   \frac{3t^2}{2} + \frac{t^3}{2}[/tex]

Answer:

8 hours and 1 min

Step-by-step explanation:

3men=5hours

5men=x

cross multiply

5x5=3x

25=3x

divide both side by 3

x=8hrs and 1 min

Answer:

The answer is below

Step-by-step explanation:

Using binomial probability:

p = probability of a rural student getting admission = 1/2

q = probability of a rural student not getting admission = 1/2

n = number of students = 100

P(x) = [tex]C(n,x) p^xq^{(n-x)[/tex]

But [tex]p^xq^{n-x}=\frac{1}{2}^x\frac{1}{2}^{n-x}=\frac{1}{2}^{n}[/tex]

P(x > 50) = P(x = 51) + P(x = 52) + P(x = 53) + . . . + P(x = 100)

P(x > 50) = [tex]\frac{1}{2} ^{100}[C(100,51)+C(100,52)+C(100,53)+\ .\ .\ .+C(100,100)]\\[/tex]

[tex]P(x>50)=\frac{1}{2}^{100} (\frac{1}{2}( 2^{100}-C(100,50)))\\\\P(x>50)=(\frac{1}{2}^{100} *\frac{1}{2}*2^{100})- (\frac{1}{2}^{100} *\frac{1}{2}*C(100,50))\\\\P(x>50)=\frac{1}{2}[(2^{-100}*2^{100})-(\frac{1}{2}^{100} *C(100,50))]\\ \\P(x>50)=\frac{1}{2}[1-\frac{1}{2}^{100} *C(100,50)][/tex]

(6 - 2) - 1 = 4 - 1 = 3

6 - (2 - 1) = 6 - 1 = 5

The associative rule doesn't work for subtraction because you get different results when you move the parentheses.

Answer:

$8

Step-by-step explanation:

In debt at $20 (like an overdraft) = -20

To make a $10 purchase = -10 on the account

Total debt = -20 + (-10)

                 = -30

You deposit $38 (this is what you added to your account.) = +38

Balance of the checking = -30 + (+38)

                                         = $8

I really hope this helps. If I am right, please thank, rate 5 stars, and give brainliest. Thank you.

Answer:

we would need the answer choices to reply

Answer:

Horizontal compression

Step-by-step explanation:

Just took a test

Answer: horizontal compression

Step-by-step explanation:

Edge

The absolute value of 3.4 = 3.4

The absolute value of something is always positive.

The answer is A

Answer: A. 3.4

Step-by-step explanation:

Concept:

Absolute value is the distance from a number to zero. Distance is always positive, so absolute value of any number is positive. Absolute value is often written as ( |x| ).

Solve:

(4m - n)(3m - 2n)

12m^2 - 8mn - 3mn + 2n^2

Let's combine like terms

12m^2 - 11mn + 2n^2

Answer:

12m^2+2n^2-11mn

Step-by-step explanation:

(4m-n)(3m-2n)

=12m^2-8mn-3mn+2n^2

12m^2+2n^2-11mn

Answer:

a==3.3  a=-3 1/3  a=-10/3

all of those are different possible answers

Step-by-step explanation:

Answer:

93.1 N (Newtons)

Step-by-step explanation:

I know it is hard for you to understand this question, so ill make it as easy as possible.

There's a difference between mass and weight

Mass is the amount of matter while WEIGHT IS THE AMOUNT OF FORCE EARTH ATTRACTS AN OBJECT TO ITS CENTER. That means that we have to calculate the weight.

The formula for that is:

Force = Mass * gravitational constant

Here, the gravitational constant means the acceleration at which earth attracts an object to itself. The value of gravitational constant is normally taken as '9.8m/s²' if the value is not given. If it is then replace the given value and calculate the answer.

Ok so heres the equation:

F= 9.5 kg x 9.8 ms

F= 93.1 N

I know it took too long to explain, but it was needed because I could see that you were confused between mass and weight

+ if u think the anwer is good so plz mark it the branliest uwu

Answer:

n = 20

Step-by-step explanation:

2n − 35 = 5

find: n

2n = 5 + 35

n = 40 / 2

n = 20

Answer:

Step-by-step explanation:

i think yes

Answer:

15

Step-by-step explanation:

-9+9=0+6

9+6=15

That is the answer i think so

Answer: The Answer is 5 1/8.

Step-by-step explanation:

Answer: 144π or 452.389342117

Step-by-step explanation:

24= circumference

c=dπ

c=24π

24/2=12

12=radius

12^2π=area

144π=area

Hope you liked that.

Answer:

h=5

Step-by-step explanation:

Answer:

the order of operations tells us how to solve a problem.

first is P for parentheses. this means you solve all the expressions within the parentheses. this ensures a simplified expression before moving on.

second is E for exponents. this means you solve all the expressions with exponents. by doing this before MDAS, you do not raise the wrong values.

third and fourth is M/D for multiplication/division. the / is between these two because these steps are interchangeable. you can multiply or divide first. the results will be the same.

this also applies to the fifth and sixth, which are A/S for addition/subtraction.

Answer:

0.36 miles

Step-by-step explanation:

Answer: Covert the mixed number to an improper fraction for them to be too simple fractions and multiply them.

Step-by-step explanation:

By multiply fraction  by a mixed fraction you will have to rewrite the mixed number as an improper fraction.

For example ,

1  1/2  is a mixed fraction. If you convert it to improper fraction, you will get 3/2 then you multiply.

Answer:

(A) $8,439.91

Step-by-step explanation:

Just took test

Answer:

2.6

Step-by-step explanation:

First you subtract and get 40 and then you add the 12 which gets 52 and then you divide it by 20 and get your 2.6

Answer:

Step-by-step explanation:

40.6 hope it helps

Answer:

4.2 rightttttrttr or no

Answer:

0.65542

Step-by-step explanation:

The formula for calculating a z-score when a random sample is selected is is z = (x-μ)/standard error

where

x is the raw score

μ is the population mean

Standard error = σ/√n

σ is the population standard deviation.

n = randomly selected sample

z = (x-μ)/standard error

z = (3.08 - 3.10) / 0.20/ √16

= -0.02/0.2/4

= -0.02/0.05

= - 0.4

Determining the Probability value from Z-Table:

P(x≤ 3.08) = P(<3.08)

P (z = -0.4)

= 0.34458

P(x>3.08) = 1 - P(x<3.08)

1 - 0.34458

= 0.65542

Therefore, the likelihood the sample mean is greater than $3.08 is 0.65542

Answer:

For plato users, the answer would be letter C.

Step-by-step explanation:

A.

It represents neither a relation nor a function.

B.

It represents a relation only.

C.

It represents both a relation and a function.

D.

It represents a function only.

This equation represents both a relation and a function.

Took the test, hope this helps!

B. It represents both a relation and a function.

Note that both functions and relations are defined as sets of lists. In fact, every function is a relation. However, not every relationship is a function. In a function, there cannot be two lists that disagree on only the last element.

Given the graph of a relation, if you can draw a vertical line that crosses the graph in more than one place, then the relation is not a function. This is a function. Any vertical line will cross this graph at only one point.

Learn more about function here: https://brainly.com/question/6561461

#SPJ2

Answer: D because it would mess with your feelings

I would put the answer as D.