Let r(t) = . a. Find the average rate of change of r(t) on the interval [-(pi/4),(pi/4)]. b. Find the equation of the line tangent to the graph of r(t) at the point where t = pi/4

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.6: Proportion And Variation
Problem 18E
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Let r(t) = <sec(t), 4tan(t)>.

a. Find the average rate of change of r(t) on the interval [-(pi/4),(pi/4)].
b. Find the equation of the line tangent to the graph of r(t) at the point where t = pi/4

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