Finding the length of a curve. Arc length for y = f(x). Let f(x) be a...
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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 = √ √ ₁ + [f'(x)}² dx Part 1. Let f(x) = 4 ln(x) Part 2. Calculate the arc length of the graph of f(x) over the interval [5, 7]. L I² 32 Setup the integral that will give the arc length of the graph of f(x) over the interval [5, 7]. 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 Part 1. Part 2. Let f(x) = √9 - x². Setup the integral that will give the arc length of the graph of f(x) over the interval [0, 3]. Calculate the arc length of the graph of f(x) over the interval [0,3]. units. L = ₁ √ ₁ + [f'(x)]³² dx Note: type an exact value for the length without using decimals. L = 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 = √ √ ₁ + [f'(x)}² dx Part 1. Let f(x) = 4 ln(x) Part 2. Calculate the arc length of the graph of f(x) over the interval [5, 7]. L I² 32 Setup the integral that will give the arc length of the graph of f(x) over the interval [5, 7]. 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 Part 1. Part 2. Let f(x) = √9 - x². Setup the integral that will give the arc length of the graph of f(x) over the interval [0, 3]. Calculate the arc length of the graph of f(x) over the interval [0,3]. units. L = ₁ √ ₁ + [f'(x)]³² dx Note: type an exact value for the length without using decimals. L =
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Discrete and Combinatorial Mathematics An Applied Introduction
ISBN: 978-0201726343
5th edition
Authors: Ralph P. Grimaldi
Posted Date:
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