she brought 7/8 as much in april as she did in october and july combined october has 3/4 and july has 1 and 1 fourth

Find the Laplace transformation of each of the following functions. In each case, specify the values of s for which the integral

MAVERICK [17]

Answer:

a. $\frac {2} {s-1}$ converges to s> 1.

b. $\frac{3}{e^3 \left(s-5 \right)}$ converges to s> 5.

c. $- \frac {2}{s + 3}$ converges to s> - 3.

d. $\frac {s}{s^2 + 25}$ converges to s> 0.

e. $\frac {10} {s^2 + 1}$ converges even s> 0.

f. $\frac {12}{s^2 + 4}$ converges to s> 0.

g. $-\frac {5\left(\cos\left (1\right) s-2 \sin\left(1\right)\right)}{s^2 + 4}$ converges to s> 0.

h. $\frac {1} {s ^ 2 + 4}$ converges to s> 0.

Step-by-step explanation:

a. $L \left\{2e^t \right\} = 2L \left\{e^t \right\} = 2 \cdot \frac {1} {s-1} = \frac {2} {s-1}$ converges to s> 1.

b. $L \left\{3e^{5t-3} \right\} = 3e^{-3} L \left\{e^{5t} \right\} = 3e^{-3} L \left\{e^{5t} \right\} = \frac{3}{e^3 \left(s-5 \right)}$ converges to s> 5.

c. $L \left\{-2e^{-3t} \right\} = -2L \left\{e^{-3t} \right\} = - \frac {2}{s + 3}$ converges to s> - 3.

d. $L \left\{\cos\left (5t \right)\right\} = \frac {s}{s^2 + 25}$ converges to s> 0.

e. $L \left\{10 \sin\left(t\right)\right\} = 10L\left\{\sin\left(t\right)\right\} = \frac {10} {s^2 + 1}$ converges even s> 0.

f. $L \left\{6\sin \left(2t \right) \right\} = 6L\left\{\sin\left (2t\right)\right\} = \frac {12}{s^2 + 4}$ converges to s> 0.

g. $L \left\{-5\cos\left(2t + 1\right) \right\} = -5L\left\{\cos\left(2t + 1 \right)\right\} = -\frac {5\left(\cos\left (1\right) s-2 \sin\left(1\right)\right)}{s^2 + 4}$ converges to s> 0.

h. $L\left\{\sin \left(t\right)\cos \left(t\right)\right\} = L\left\{\sin\left(2t\right)\frac{1}{2}\right\} =\frac{1}{2}\cdot \frac{2}{s^2+4} = \frac {1} {s ^ 2 + 4}$ converges to s> 0.

7 0

4 years ago

Leo makes a cake by mixing flour, eggs and sugar in the ratio 5 : 3 : 2. If he uses 120 g of sugar, what weight of eggs will he

Verdich [7]

Answer:

180g of eggs

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Helpppppp mathhhhhhhhhhhhhh

labwork [276]

Answer is Yes, both congruent by SAS

8 0

3 years ago

B) Write an expression for fin terms of d.<br> c) Work out e-f<br> Simplify your answer.

olga2289 [7]

Answer:

3d+ e+f

Step-by-step explanation:

7 0

3 years ago

Someone answer urgent and if so I will mark brainliest

krok68 [10]

Answer:

B is the correct answer

Step-by-step explanation:

A. is wrong because 3/8 would shrink the circle, not expand it.

B. is correct because 8/3 means the circle will expand, not shrink.

C. is wrong because those coordinates only reposition and move the circle, not dilate.

D. is wrong because those coordinates only reposition and move the circle, not dilate.

3 0

3 years ago

she brought 7/8 as much in april as she did in october and july combined october has 3/4 and july has 1 and 1 fourth﻿

she brought 7/8 as much in april as she did in october and july combined october has 3/4 and july has 1 and 1 fourth