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3 years ago

The trail is 3424 miles long . It begins in city A and ends in B. Manfred has hiked 3/8 of that. How many miles has he hiked

2 answers:

8 0

All we need to do is to find out how much is 3/8 of 3424. We can do it in at least two ways:

1. Divide 3424 by 8 and then multiply the result by 3
2. Just multiply 3424 by 3/8

So:

3424 / 8 = 428
428 * 3 = 1284

or:

3424 * 3/8 =
= 428 * 3/1 =
= 428 * 3 =
= 1284

Answer: Manfred hiked 1284 miles.

KiRa [710]3 years ago

8 0

Since he has hiked 3/8 of it.

= 3/8 * 3424
= 3 * 428 = 1284

= 1284 miles.

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The given function s/(s^2 +3s -4) is proved with the help of inverse Laplace theorem.

According to the statement

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So, For this purpose, we know that the

Laplace transformation is a transformation of a function f(x) into the function g(t) that is useful especially in reducing the solution of an ordinary linear differential equation with constant coefficients to the solution of a polynomial equation.

Now, We assume you want to find the inverse transform of $s/(s^2 +3s -4).$

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$s^2 +3x -4 = (s+4)(s-1)$

After that, you can postulate the final form and determine the values of the coefficients that make it so.

For example:

$\frac{A}{(s+4)} + \frac{B}{s-1} = (A+B)s + \frac{(4B-A)}{(s^2 +3x -4)}$

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Disclaimer: This question was incomplete. Please find the full content below.

Question:

Use appropriate algebra and theorem 7.2.1 to find the given inverse laplace transform. (write your answer as a function of t.) ℒ−1 s s2 + 3s − 4.

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The translation statement is given by:

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$(x,y)\rightarrow (x+1,y+2)$

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