For this question, we are going to consider the global extrema of the function p(t)- 8t5 - 5ct where C is a positive constant and for t-values only on the inters (a) Find p'(t) = (b) In the table below, the function p has been evaluated at several values of t. In this part, you will: (1) Determine if the given t-value is a critical point and/or an endpoint on the interval [0,C] AND (ii) Classify the t-value as a global max, min, or neither. t 0 C/3 C/2 C p(t) 0 705 E 16 305 (1) Critical Pt / Endpoint -Select- -Select- Select- -Select- 5 v (ii) Global Max, Min, Neither --Select- -Select- --Select-V --Select-

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
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For this question, we are going to consider the global extrema of the function p(t) = 8t³ - 5Ct where C is a positive constant and for t-values only on the interval [0,c]
(a) Find p'(t) =
(b) In the table below, the function p has been evaluated at several values of t. In this part, you will:
(1) Determine if the given t-value is a critical point and/or an endpoint on the interval [0,C] AND
(ii) Classify the t-value as a global max, min, or neither.
t
0
C/3
C/2
C
p(t)
0
705
243
گے۔
16
305
(1) Critical Pt / Endpoint
-Select--
-Select--
-Select--
-Select-
v
5
V
(ii) Global Max, Min, Neither
--Select-
--Select--
V
V
--Select-- V
--Select- V
Transcribed Image Text:For this question, we are going to consider the global extrema of the function p(t) = 8t³ - 5Ct where C is a positive constant and for t-values only on the interval [0,c] (a) Find p'(t) = (b) In the table below, the function p has been evaluated at several values of t. In this part, you will: (1) Determine if the given t-value is a critical point and/or an endpoint on the interval [0,C] AND (ii) Classify the t-value as a global max, min, or neither. t 0 C/3 C/2 C p(t) 0 705 243 گے۔ 16 305 (1) Critical Pt / Endpoint -Select-- -Select-- -Select-- -Select- v 5 V (ii) Global Max, Min, Neither --Select- --Select-- V V --Select-- V --Select- V
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