Finding the length of a curve. Arc length for y = f(x). Let f(x) be a smooth function over the interval [a, b]. The arc length of the portion of the graph of f(x) from the point (a, f(a)) to the point (b, f(b)) is given by L= V1+ [f'(x)}² dz Part 1. Let f(x) = V16 – 22. Setup the integral that will give the arc length of the graph of f(r) over the interval [0, 4]. Part 2. Calculate the arc length of the graph of f(x) over the interval [0, 4]. L units. Note: type an exact value for the length without using decimals.

Finding the length of a curve. Arc length for y = f(x). Let f(x) be a smooth function over the interval [a, b]. The arc length of the portion of the graph of f(x) from the point (a, f(a)) to the point (b, f(b)) is given by L= V1+ [f'(x)}² dz Part 1. Let f(x) = V16 – 22. Setup the integral that will give the arc length of the graph of f(r) over the interval [0, 4]. Part 2. Calculate the arc length of the graph of f(x) over the interval [0, 4]. L units. Note: type an exact value for the length without using decimals.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 91E

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