Answer:
if you are solving for X then X=0
Step-by-step explanation:
∫ e^(3x)*(cosh(2x)dx
= ∫ [e^(3x)*(e^(2x)+e^(-2x))/2]dx
= ∫ [(e^(5x)+e^x)/2]dx
=e^(5x)/10+e^x/2+C
=(1/10)(e^(5x)+5e^x)+C
Answer:
3 hours
Step-by-step explanation:
speed of Bharat = 12kilometers / hour
speed of Ingrid=14 kilometers / hour
For this problem we'll be using formula relating time, distance and speed.i.e
Distance = speed x time
Suppose Bharat is riding at a distance of 'b' kilometers, therefore time taken by him will be:
Time = distance/ speed
Time= b/12 hours.
Also, Ingrid can ride the distance at this time with speed of 14km/hr
The distance would be,
Distance = speed x time
Distance = 14 x (b/12) => 14b/12
Distance= 7b/6
Let '
' be the distance that Bharat have covered after time 't'
therefore,
= 12 x t
Let '
' be the distance that Ingrid have covered after time 't'
therefore,
= 14 x t
In order to find the time when they are 78 kilometers apart, we will add
and
, because they are travelling in opposite direction creating distance between them.
So,
+
= 78
( 14 x t) + (12 x t) =78
14t + 12t =78
26t= 78
t= 78/26
t= 3hours.
thus, it will take 3 hours until they are 78 kilometers apart
Answer:
Midpoint....; (0,-6)
Step-by-step explanation:
Midpoint of the segment
= [(sum of x-coordinates) ÷ 2] , [(sum of y-coordinates) ÷ 2]
Midpoint = [( 3 + (-3))÷ 2 , (-5 + (-7))÷ 2]
Midpoint = ( 0/2 , -12/2 )
Midpoint = (0,-6)
Answer:
1. not proportional because it's increasing in different values
2. proportional because the value is increasing equally
3. proportional because the values are increasing in equal amount
4. Proportional because it's increasing in equal amounts