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Show that at some instant during a 2-hour automobile trip the car's speedometer reading will equal the average speed for the trip.

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Calculus 1 / AB

Chapter 4

Applications of Derivatives

Section 2

The Mean Value Theorem

Applications of the Derivative

Baylor University

University of Nottingham

Idaho State University

Lectures

03:09

In mathematics, precalculu…

31:55

In mathematics, a function…

03:33

At 2:00 PM a car's sp…

00:31

Use the result of Exercise…

00:50

If you travel 100 miles in…

05:41

Show that the radar gun of…

01:30

If you divide the total di…

02:27

The speed of a car in mile…

00:41

AUTO TRAVEL A car's o…

00:45

00:12

01:06

How might you estimate you…

in this problem, we're asked, the shorter into our the car's velocity will be equal to the average balls to at some point, um, we know that the lost city lost the meat is the narrative off position. So what side At Carr's position, it's us. And time is T so we can say that car's position function as is continuous and differential, and it will be confused. And the French ultra out this trip, right? If it is continues to end differential, we can apply. I mean, really Terram to this position function some, you know, the term does apply for this function. Sis fell it. Meanwhile, turn, uh, is a way we can say that the average velocity, which is read, will be equal to position at some time, too. And the position at sometime one divided by difference between, um, times at those two positions. This looking at here is the definition of all mostly so what this implies is this. Since chorus function, cars position function as his convenience and differential done for me and the editorial, we could easily say that car speed Well, at some point course, Pete be will be equal to this rework. This is the evidence. Speaks

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In mathematics, precalculus is the study of functions (as opposed to calculu…

In mathematics, a function (or map) f from a set X to a set Y is a rule whic…

At 2:00 PM a car's speedometer reads $ 30 mi/h $. At 2:10 PM it reads $…

Use the result of Exercise 18 in these exercises.An automobile travels $…

If you travel 100 miles in two hours, then your average speed for the trip i…

Show that the radar gun of example 8.3 gives the correct speed if the police…

If you divide the total distance traveled on a car trip (as determined by th…

The speed of a car in miles per hour, the speed of the same car at the same …

AUTO TRAVEL A car's odometer reads $34,746$ at the beginning of a trip.…

If you travel 100 miles in two hours, then your average speedfor the tri…

How might you estimate your speed if the speedometer in your car is broken?<…

01:21

a. Find the open intervals on which the function is increasing and decreasin…

02:36

00:54

Use the formal definitions of limits as $x \rightarrow \pm \infty$ to establ…

01:10

Assume that $y=5 x$ and $d x / d t=2 .$ Find $d y / d t$

02:11

Graph $y=3 x^{2}$ in a window that has $-2 \leq x \leq 2,0 \leq y \leq 3$

02:35

In Exercises $41-58$ find $d y / d t$

$$y=\sqrt{3 t+\sqrt{2+\sqr…

04:04

Identify the coordinates of any local and absolute extreme points and inflec…

07:15

$\begin{array}{l}{\text { a. Find an equation for the line that is tangent t…

06:05

Find all points $(x, y)$ on the graph of $f(x)=x^{2}$ with tangent lines pas…

02:10

Heating a plateoven, its radius increases at the rate of 0.01 $\mathrm{c…

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