Consider the function g(t) = 4t − cos^3(t) (a) Show that g has at least one zero (root). If you use a theorem, state explicitly which theorem you are using. (b) How many zeroes (roots) does g have? (Hint: what can you say about the sign of g′(t)? )

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter58: Achievement Review—section Five
Section: Chapter Questions
Problem 30AR: Determine dimension x to 3 decimal places.
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7. Consider the function g(t) = 4t − cos^3(t)

(a) Show that g has at least one zero (root). If you use a theorem, state explicitly which theorem you are using.


(b) How many zeroes (roots) does g have? (Hint: what can you say about the sign of g′(t)? )

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ISBN:
9781337798310
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Peterson, John.
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Cengage Learning,