Area with a parameter Let a > 0 be a real number and consider the family of functions f(x) = sin ax on the interval [0, 7/a]. a. Graph f, for a = 1, 2, 3. b. Let g(a) be the area of the region bounded by the graph of f and the x-axis on the interval [0, 7/a]. Graph g for 0 < a < o. Is g an increasing function, a decreasing func- tion, or neither?
Area with a parameter Let a > 0 be a real number and consider the family of functions f(x) = sin ax on the interval [0, 7/a]. a. Graph f, for a = 1, 2, 3. b. Let g(a) be the area of the region bounded by the graph of f and the x-axis on the interval [0, 7/a]. Graph g for 0 < a < o. Is g an increasing function, a decreasing func- tion, or neither?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.4: Definition Of Function
Problem 40E
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