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Find the arclength of y = 2a + 4 on 0 < a < 4

Find the arclength of y = 2a + 4 on 0 < a < 4

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Problem Statement:** Find the arc length of the curve defined by the equation \( y = 2x + 4 \) over the interval \( 0 \leq x \leq 4 \). **Instructions:** 1. Calculate the derivative of the function \( y = 2x + 4 \). 2. Use the formula for arc length \( L = \int_{a}^{b} \sqrt{1 + \left( \frac{dy}{dx} \right)^2} \, dx \). 3. Evaluate the integral over the specified interval.
Transcribed Image Text:**Problem Statement:** Find the arc length of the curve defined by the equation \( y = 2x + 4 \) over the interval \( 0 \leq x \leq 4 \). **Instructions:** 1. Calculate the derivative of the function \( y = 2x + 4 \). 2. Use the formula for arc length \( L = \int_{a}^{b} \sqrt{1 + \left( \frac{dy}{dx} \right)^2} \, dx \). 3. Evaluate the integral over the specified interval.
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