Problem 2. Find the area between these curves: (a) f(x) = 5x-2 and g(x) = 4x + 1 on the interval [2,6]. (b) f(x)=x²-4x+7 and g(x) = -2² +4r+1 (Hint: you need to find the integration bounds).

Calculus: Early Transcendentals
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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 2. Find the area between these curves:**

**(a)** \( f(x) = 5x - 2 \) and \( g(x) = 4x + 1 \) on the interval \([2, 6]\).

**(b)** \( f(x) = x^2 - 4x + 7 \) and \( g(x) = -x^2 + 4x + 1 \) (Hint: you need to find the integration bounds).
Transcribed Image Text:**Problem 2. Find the area between these curves:** **(a)** \( f(x) = 5x - 2 \) and \( g(x) = 4x + 1 \) on the interval \([2, 6]\). **(b)** \( f(x) = x^2 - 4x + 7 \) and \( g(x) = -x^2 + 4x + 1 \) (Hint: you need to find the integration bounds).
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