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Suppose you are given the derivative of some function p(t) as p '(t) = t.cos(10t) (a) Find the exact critical point(s) of p(t) on the interval [0, π/10]. Smallest critical pt: t₁ = (b) Determine p''(t) = In the next part, you will apply the Second Derivative Test to the two critical points obtained in part (a). (c) Compute p' '(t) at the critical points you found in part (a). Indicate the concavity of p at each critical point and classify each critical point as a local max or local min. p''(t₁) = Largest critical pt: t₂ = p''(t₂) = Graph of p is: ---Select--- Graph of p is: ---Select-- ], so critical pt is a ---Select--- so critical pt is a ---Select---

Suppose you are given the derivative of some function p(t) as p '(t) = t.cos(10t) (a) Find the exact critical point(s) of p(t) on the interval [0, π/10]. Smallest critical pt: t₁ = (b) Determine p''(t) = In the next part, you will apply the Second Derivative Test to the two critical points obtained in part (a). (c) Compute p' '(t) at the critical points you found in part (a). Indicate the concavity of p at each critical point and classify each critical point as a local max or local min. p''(t₁) = Largest critical pt: t₂ = p''(t₂) = Graph of p is: ---Select--- Graph of p is: ---Select-- ], so critical pt is a ---Select--- so critical pt is a ---Select---

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Suppose you are given the derivative of some function p(t) as p '(t): = t.cos(10t) (a) Find the exact critical point(s) of p(t) on the interval [0, π/10]. Smallest critical pt: t₁ = Largest critical pt: t₂ (b) Determine p''(t) = In the next part, you will apply the Second Derivative Test to the two critical points obtained in part (a). (c) Compute p''(t) at the critical points you found in part (a). Indicate the concavity of p at each critical point and classify each critical point as a local max or local min. p''(t₁) = p''(t₂) = Graph of p is: ---Select--- = Graph of p is: ---Select--- , so critical pt is a ---Select--- so critical pt is a ---Select---
Transcribed Image Text:Suppose you are given the derivative of some function p(t) as p '(t): = t.cos(10t) (a) Find the exact critical point(s) of p(t) on the interval [0, π/10]. Smallest critical pt: t₁ = Largest critical pt: t₂ (b) Determine p''(t) = In the next part, you will apply the Second Derivative Test to the two critical points obtained in part (a). (c) Compute p''(t) at the critical points you found in part (a). Indicate the concavity of p at each critical point and classify each critical point as a local max or local min. p''(t₁) = p''(t₂) = Graph of p is: ---Select--- = Graph of p is: ---Select--- , so critical pt is a ---Select--- so critical pt is a ---Select---
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