Produce graphs of f that reveal all the important aspects of the curve. Then use calculus to find the following. (Enter your answers using interval notation. Round your answers to two decimal places.) f(x) = 8 sin(x) + cot(x),    −π ≤ x ≤ π a) Find the interval of increase. b)Find the interval of decrease. c) Find the inflection points of the function.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
Problem 78RE
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Produce graphs of f that reveal all the important aspects of the curve. Then use calculus to find the following. (Enter your answers using interval notation. Round your answers to two decimal places.)

f(x) = 8 sin(x) + cot(x),    −π ≤ x ≤ π

a) Find the interval of increase.

b)Find the interval of decrease.

c) Find the inflection points of the function.

d) Find the interval where the function is concave up.

e) Find the interval where the function is concave down.

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