Find the length of the curve below from the the point P = (1, 2) to the point Q = (8, 5). 2² = (y – 1)³

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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Find the length of the curve below from the the point
P = (1, 2) to the point Q = (8, 5).
x² = (y – 1)³
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Transcribed Image Text:Find the length of the curve below from the the point P = (1, 2) to the point Q = (8, 5). x² = (y – 1)³ -
Expert Solution
Step 1

The length of arc for curve y=fx from x=a to x=b is given as follows.

L=ab1+dydx2dx

The given curve is x2=y-13.

x2=y-13x23=y-1y=x23+1dydx=23x-13

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