A) is described by the following function: P = 4.53 +2.04i - 3.4i² Find the current, that will maximize the power, P, of the electrical system. What is the maximum power that can be delivered? Use the Second Derivative Test to demonstrate that you have, in fact, found maximum.

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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The power, P, in Watts (W), delivered to an electrical element as a function of current, i (in
amps, A) is described by the following function:
P = 4.53 +2.04i - 3.4i²
a.
Find the current, that will maximize the power, P, of the electrical system.
b. What is the maximum power that can be delivered?
c. Use the Second Derivative Test to demonstrate that you have, in fact, found the
maximum.
Transcribed Image Text:The power, P, in Watts (W), delivered to an electrical element as a function of current, i (in amps, A) is described by the following function: P = 4.53 +2.04i - 3.4i² a. Find the current, that will maximize the power, P, of the electrical system. b. What is the maximum power that can be delivered? c. Use the Second Derivative Test to demonstrate that you have, in fact, found the maximum.
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