Chapter 1. calc_tutorial_14_1_045

1.1 Problem Statement

{70,75,80,85,90}
{7}
$x*$a
{8}
$x*$c
{2000}
{3900}

Refer to the figure below.

Figure 1.1: Contour Map

Estimate the average rate of change from A to B and from A to C using x = $x m.

1.2 Step 1

Question Sequence

Question 1.1

Given a contour map with two points P and Q on the map and corresponding points and on the surface, the average rate of change from P to Q is

where Δaltitude (or elevation) is the change in height from to , and Δhorizontal is the distance from P to Q.

Find how many level curves the segment spans.

spans nc1ItEz0kR4= level curves.

Using the contour interval given, find Δaltitude, the change in height from to .

Δaltitude = iSba6t70dtA= m.

Find how many level curves the segment spans.

spans SFgqQUkJGdg= level curves.

Using the contour interval given, find Δaltitude, the change in height from to .

Δaltitude = U2GIbglD1oM= m.

Correct.
Incorrect.

1.3 Step 2

Question Sequence

Question 1.2

Using the horizontal scale, estimate the distance (in meters) from A to B.

The distance from A to B is approximately 5dWJhLEUU4Y= m.

Using the horizontal scale, estimate the distance (in meters) from A to C.

The distance from A to C is approximately or6dmYWrEbA= m.

Correct.
Incorrect.

1.4 Step 2

Question Sequence

Question 1.3

Find the average rate of change from A to B. (Round your answer to four decimal places.)

mpgA8Zi4UKU=

Find the average rate of change from A to C. (Round your answer to four decimal places.)

Hs0oCnDH0eo=

Correct.
Incorrect.