Try This Calculus Problem

Calculus Level 1

The above shows the profile of the Hoosac Mountain. Between which points is the slope the steepest?

Between points B and D Between points B and C Between points C and D Between points A and B

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Calvin Lin by Calvin Lin

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2 solutions

Calvin Lin Staff
Jul 2, 2014

The slope of a line is equal to the ratio rise run \frac{ \text{rise} } { \text{run} } . By drawing lines between these points, we see that the slope is steepest (large absolute value) from point A to B.

15 Helpful 3 Interesting 3 Brilliant 2 Confused

what is its formula?

Joy Malinao - 6 years, 11 months ago

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I've stated that the formula for slope is "rise over run". Rise is the change in the y-coordinate, Run is the change in the x-coordinate.

Calvin Lin Staff - 6 years, 11 months ago
Irina Stanciu
Jan 6, 2017

We can observe that the largest absolute value is between points A and B.

4 Helpful 1 Interesting 0 Brilliant 0 Confused

Yup it should have been mentioned. B-C and C-D has negative slope as tan angle A is < 0 where 90 < A < 180.

Vishwash Kumar ΓΞΩ - 4 years, 5 months ago

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