Consider the functions f and g, where f (x) = 6 sin x cos 2 x and
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Consider the functions f and g, where f (x) = 6 sin x cos2 x and g(t) = ∫t0 f (x) dx.(a) Use a graphing utility to graph f and g in the same viewing window.(b) Explain why g is nonnegative.(c) Identify the points on the graph of g that correspond to the extrema of f.(d) Does each of the zeros of f correspond to an extremum of g? Explain.(e) Consider the function
Use a graphing utility to graph h. What is the relationship between g and h? Verify your conjecture.
Transcribed Image Text:
- SP1₂² π/2 h(t) = f(x) dx.
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a b g is nonnegative because the graph of f is positive at the beginning and generally ...View the full answer
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Related Book For
Calculus Of A Single Variable
ISBN: 9781337275361
11th Edition
Authors: Ron Larson, Bruce H. Edwards
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