Consider the initial value problem:

y″+49y=cos(7t),y(0)=8,y′(0)=9.

take the laplace transform of both sides of the given differential equation to create the corresponding algebraic equation. denote the laplace transform of y(t) by y(s).

part a

x     y

0     8

1     7.5

2     7

3     6.5

4     6

5     5.5  

for every hour i deducted .5 inches from the length of the candle

part b

it is a function because for every x value there is only one y value

part   c

for every x value there is only one y value

x       y

0       8

1       7.6

2       7.2

3       6.8

step-by-step explanation:

80

step-by-step explanation:

3 ft is your answer