Posted by **smith lionel** on Friday, January 13, 2012 at 11:55am.

An automobile travels 4 miles road in 5 minutes. Use the Mean Value theorem to show that the speedometer reads exactly 48 mph at least once during the trip.

- calculus -
**Steve**, Friday, January 13, 2012 at 1:00pm
MVT states that for an interval [a,b] there is a c such that f'(c) = (f(b)-f(a))/(b-a)

Here letting f(x) be distance at time x minutes,

f(0) = 0

f(5) = 4

(f(5)-f(0))/(5-0) = 4/5 mi/min (that's 48 mph)

MVT states that at some 0<= c <= 5, f'(x) = 4/5

f'(x) is the speedometer reading at x minutes.

## Answer This Question

## Related Questions

- Math calculus - an automobile starts from rest and travel 4 miles along a ...
- Calculus - At 2:00pm a car's speedometer reads 60mph, and at 2:10pm it reads ...
- Calculus - At 2:00 PM a car's speedometer reads 30 mi/h. At 2:10 PM it reads 50 ...
- calculus - a road that runs perpendicular to a highway leads to a farmhouse ...
- algebra - Can someoe please help me figure this out? During the first part of a ...
- math - A road perpendicular to a highway leads to a farmhouse located 8 mile ...
- algebra - during the first trip a canoeist travels 79 miles at a certain speed. ...
- algebra - during the first part of a trip a canoeist travels 64 miles at a ...
- math sos. - dURING THE FIRST PART OF A TRIP, A CONOEIST TRAVELS53 MILES AT A ...
- Math - The speedometer of John's truck uses the revolutions of his tires to ...

More Related Questions