|Circular y arc y =x r5/2 2 (4, 1) + + 6. 4 2. 4.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.4: Graphs Of Logarithmic Functions
Problem 60SE: Prove the conjecture made in the previous exercise.
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A highway has an exit ramp that begins at the origin of a coordinate system and follows the curve y = (1/ 32)x5/2 to the point (4, 1) (see figure). Then it follows a circular path whose curvature is that given by the curve at (4, 1). What is the radius of the circular arc? Explain why the curve and the circular arc should have the same curvature at (4, 1).

|Circular
y
arc
y =x
r5/2
2
(4, 1)
+
+
6.
4
2.
4.
Transcribed Image Text:|Circular y arc y =x r5/2 2 (4, 1) + + 6. 4 2. 4.
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