17. Luca is measuring the slope of a hiking trail at various points. He uses the concept of limits to find precise slopes. At each point, he selects two points very close together and calculates the slope as the horizontal distance between them approaches zero. Can you determine the slope of the trail at each point using the limit as h approaches 0? 2 a) f(x) = 3x². - 2x5 at the point x =- 2 b) f(x) = x-8 2x+5 at x = 1
17. Luca is measuring the slope of a hiking trail at various points. He uses the concept of limits to find precise slopes. At each point, he selects two points very close together and calculates the slope as the horizontal distance between them approaches zero. Can you determine the slope of the trail at each point using the limit as h approaches 0? 2 a) f(x) = 3x². - 2x5 at the point x =- 2 b) f(x) = x-8 2x+5 at x = 1
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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![17. Luca is measuring the slope of a hiking trail at various points. He uses the concept of
limits to find precise slopes. At each point, he selects two points very close together and
calculates the slope as the horizontal distance between them approaches zero.
Can you determine the slope of the trail at each point using the limit as h approaches 0?
2
a) f(x) = 3x².
-
2x5 at the point x =- 2
b) f(x)
=
x-8
2x+5
at x = 1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F11e90924-d8c8-4247-85e9-b29c3b018c51%2Fbe0dd047-0383-4e89-845a-4064d69036ad%2F0lh4sc7_processed.png&w=3840&q=75)
Transcribed Image Text:17. Luca is measuring the slope of a hiking trail at various points. He uses the concept of
limits to find precise slopes. At each point, he selects two points very close together and
calculates the slope as the horizontal distance between them approaches zero.
Can you determine the slope of the trail at each point using the limit as h approaches 0?
2
a) f(x) = 3x².
-
2x5 at the point x =- 2
b) f(x)
=
x-8
2x+5
at x = 1
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