The velocity of a particle moving back and forth on a line is vequalsStartFraction ds Over dt EndFraction equals6 sine (2 t )StartFraction m Over sec EndFraction for all t. If sequals0 when tequals0, find the value of s when tequalsStartFraction pi Over 2 EndFraction sec.

s = 6 m

Step-by-step explanation:

The value of the velocity v is given as:

m/s

To find s, we have to integrate and apply the initial values of s = o when t = 0:

When t = π/2, s will be:

s = -3cos(2 * π/2) + 3

s = -3cos(π) + 3

s = -3(-1) + 3

s = 3 + 3

s = 6 m

answer: true

step-by-step explanation:

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: