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3 years ago

Just got this don’t know how to do btw it’s due tomorrow

Mathematics

1 answer:

Softa [21]3 years ago

6 0

Answer:

2 and 4 answers

Step-by-step explanation:

$\frac{xy}{xv} = \frac{yz}{vw} = \frac{zx}{wx}$

so the second is correct and forth is correct too

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IL GIVE BRAINLY THING

Fudgin [204]

Answer:

It takes 42 seconds for the ball to reach its maximum height

The ball's max height is 2

hope this is right

5 0

3 years ago

The indicated function y1(x) is a solution of the associated homogeneous equation. Use the method of reduction of order to find

9966 [12]

Answer:

The particular integral of given differential equation

$y_{p} = \frac{1}{4} ( x - (\frac{-5}{4} ) (1))$

General solution of given differential equation

$y = y_{c} + y_{p}$

$Y (x) = C_{1} e^{x} + C_{2} e^{4x} + \frac{1}{4} ( x + (\frac{5}{4} ))$

Step-by-step explanation:

Step(i):-

Given Differential equation y'' − 5 y' + 4 y = x

Given equation in operator form

D²y - 5 Dy + 4 y = x

⇒ ( D² - 5 D + 4 ) y =x

⇒ f(D) y = Q

where f(D) = D² - 5 D + 4 and Q(x) = x

The auxiliary equation f(m) =0

m²-5 m + 4 =0

m² - 4 m - m + 4 =0

m ( m -4 ) -1 ( m-4) =0

(m - 1) =0 and ( m-4) =0

m = 1 and m =4

The complementary function

$Y_{c} = C_{1} e^{x} + C_{2} e^{4x}$

Step(ii):-

particular integral

Particular integral

$y_{p} = \frac{1}{f(D)} Q(x) = \frac{1}{D^{2} - 5 D + 4} X$

taking common '4'

$= \frac{1}{4(1 + (\frac{D^{2} - 5 D}{4} ))} X$

$=\frac{1}{4} (1 + (\frac{D^{2} -5D}{4})^{-1} )} X$

applying binomial expression

( 1 + x )⁻¹ = 1 - x + x² - x³ +.....

$=\frac{1}{4} (1 - (\frac{D^{2} -5D}{4}) +((\frac{D^{2} -5D}{4})^{2} -...} )X$

Now simplifying and we will use notation D = $\frac{dy}{dx}$

$=\frac{1}{4} (x - (\frac{D^{2} -5D}{4})x +((\frac{D^{2} -5D}{4})^{2}(x) -...}$

Higher degree terms are neglected

$=\frac{1}{4} (x - (\frac{ -5 D}{4}) x)$

The particular integral of given differential equation

$y_{p} = \frac{1}{4} ( x - (\frac{-5}{4} ) (1))$

Final answer:-

General solution of given differential equation

$y = y_{c} + y_{p}$

$Y (x) = C_{1} e^{x} + C_{2} e^{4x} + \frac{1}{4} ( x + (\frac{5}{4} ))$

4 0

3 years ago

Help me! <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B3%7D%2B10%3D%5Cfrac%7B3x-8%7D%7B2%7D" id="TexFormula1" title="\

mars1129 [50]

Answer:

$\frac{x}{3} + 10 = \frac{3x - 8}{2} \\ \\ \frac{3x - 8}{2} - \frac{x}{3} = 10 \\ \\ taking \: lcm \\ \\ \frac{9x - 24 - 2x}{6} = 10 \\ \\ 9x - 24 - 2x = 60 \\ \\ 7x = 60 + 24 \\ \\ 7x = 84 \\ \\ x = \cancel\frac{84}{7} \\ \\\fbox{ x = 12}$

hope helpful ~

8 0

2 years ago

Read 2 more answers

Whats the unit rate of 122 and 4?

ANTONII [103]

Answer: 30.5

Step-by-step explanation:

30.5 times 4 equals 122

5 0

4 years ago

Suppose your friend's parents invest 15,000 in an account paying 7% compounded annually. What will the balance be after 5 year

meriva

Answer:

FV= $21,038.28

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $15,000

Interest rate (i)= 7% compounded annually

Number of periods (n)= 5

To calculate the future value (FV), we need to use the following formula:

FV= PV*(1 + i)^n

FV= 15,000*(1.07^5)

FV= $21,038.28

6 0

3 years ago