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3 years ago

Is PQR-XYZ? If so, name which similarity postulate or theorem applies.

Mathematics

1 answer:

steposvetlana [31]3 years ago

5 0

Answer:

D. Cannot be determined

Step-by-step explanation:

there is not enough information for you to answer this question. A picture would be helpful to answer this question, but there isn't one.

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Use the laplace transform to solve the given initial-value problem. y'' − 4y' + 4y = t3e2t, y(0) = 0, y'(0) = 0

DanielleElmas [232]

The Laplace of the given equation is $y=-\frac{15e^2}{8}e^{2t}+\left(-3e^2+\frac{15e^2}{4}\right)e^{2t}t+\frac{e^2t^4}{4}+e^2t^3+\frac{9e^2t^2}{4}+3e^2t+\frac{15e^2}{8}$ .

According to the statement

we have given that the equation and we have to solve this problem with the help of the Laplace transform.

So, According to the statement

the given equation is

y'' − 4y' + 4y = t^3e^2t, y(0) = 0, y'(0) = 0

And the Laplace transform is an integral transform method which is particularly useful in solving linear ordinary differential equations.

Firstly fill the value of the Laplace of the second order derivative and put x = 0 in the equation

And same it with the first order of the derivative.

And then the Laplace of the equation become

$y=-\frac{15e^2}{8}e^{2t}+\left(-3e^2+\frac{15e^2}{4}\right)e^{2t}t+\frac{e^2t^4}{4}+e^2t^3+\frac{9e^2t^2}{4}+3e^2t+\frac{15e^2}{8}$

So, The Laplace of the given equation is $y=-\frac{15e^2}{8}e^{2t}+\left(-3e^2+\frac{15e^2}{4}\right)e^{2t}t+\frac{e^2t^4}{4}+e^2t^3+\frac{9e^2t^2}{4}+3e^2t+\frac{15e^2}{8}$

Learn more about Laplace transform here

brainly.com/question/17062586

#SPJ4

5 0

2 years ago

Standard form of y=6(x-2)^2-3

Rom4ik [11]

Let’s simplify!

y = 6(x - 2)² - 3
y = 6(x - 2)(x - 2) - 3
y = 6(x² - 2x - 2x + 4) - 3
y = 6(x² - 4x + 4) - 3
y = 6x² - 24x + 24 - 3
y = 6x² - 24x + 21

4 0

2 years ago

Your teacher announced a 50 point math quiz

77julia77 [94]

Answer:

There would be 5, 4 point questions and 10, 3 point answers

Step-by-step explanation:

4 0

3 years ago

Solve S = 2πr2 + 2πrh for h

Natasha_Volkova [10]

Answer:

h=2πr

Step-by-step explanation:

h=s-2πr^2;h=s-r^2;h=s-r:2πr

6 0

3 years ago

1. Simplify the expression below. -5(3x) + x A. -15x B. – 13x C. -14x D. –15 + x

elena-s [515]

C. -14x
Just multiply 3 with -5 and get -14x. And then add a positive x to get -14x

4 0

2 years ago

Read 2 more answers