Answer:
Let v(t) be the velocity of the car t hours after 2:00 PM. Then
. By the Mean Value Theorem, there is a number c such that
with
. Since v'(t) is the acceleration at time t, the acceleration c hours after 2:00 PM is exactly
.
Step-by-step explanation:
The Mean Value Theorem says,
Let be a function that satisfies the following hypotheses:
- f is continuous on the closed interval [a, b].
- f is differentiable on the open interval (a, b).
Then there is a number c in (a, b) such that

Note that the Mean Value Theorem doesn’t tell us what c is. It only tells us that there is at least one number c that will satisfy the conclusion of the theorem.
By assumption, the car’s speed is continuous and differentiable everywhere. This means we can apply the Mean Value Theorem.
Let v(t) be the velocity of the car t hours after 2:00 PM. Then
and
(note that 20 minutes is
of an hour), so the average rate of change of v on the interval
is

We know that acceleration is the derivative of speed. So, by the Mean Value Theorem, there is a time c in
at which
.
c is a time time between 2:00 and 2:20 at which the acceleration is
.
Answer:
E would be closer to A
explanation:
if they were the same distance from both A and E it would be a point on the line CD, and if it was closer to E it would be on the other side of line CD.
i hope this is right :/
Answer:
If I did my math correctly, They washed 15 cars on Sunday.
Step-by-step explanation:
50 cars = 100%
Therefore 1 car would be 2% because 50 is half of 100.
So because 30% would be 2 times the amount of cars, we divide 30 by 2, giving us 30% = <u>15 cars on Sunday</u>
With this information, we can take away 15 from 50 giving us 35 cars which is equal to 70% on Saturday
Here is some extra data:
10% = 5 cars
20% = 10 cars
30% = 15 cars
40% = 20 cars
50% = 25 cars
60% = 30 cars
70% = 35 cars
80% = 40 cars
90% = 45 cars
100% = 50%
Basically, every 10% is +5 cars
Y=6x (1)
y=5x-7 (2)
Substitute y into (2)
(6x)=5x-7 -- subtract 5x from both sides
x=-7
Sub x into 1
y=6(-7)
y=-42
x=-7
y=-42
Answer:
π/4
Step-by-step explanation:
x is the variable
-1 inverts the curve
π/4 is the phase shift or x axis offset
2 is the y axis offset