Find the exact length of the curve.1y =41x - In(x), 1s xs 42

Given curve, y=14x2-12lnx ; 1≤x≤4

Answered: Find the exact length of the curve. 1 y…

Math

Calculus

Find the exact length of the curve. 1 y = -x° 4 x² -- In(x), 1

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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Question

Find the exact length of the curve.
1
y =
4
1
x - In(x), 1s xs 4
2

Expert Solution

Step 1

Given curve, $y = \frac{1}{4} x^{2} - \frac{1}{2} \ln (x)$ ; $1 \leq x \leq 4$

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