I need help with question 6 please 6. Over a 24-hour period 0

Name: I need help with question 6 please 6. Over a 24-hour period 0
Uploaded: 2024-03-20T07:07:37.000Z
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Description: I need help with question 6 please 6. Over a 24-hour period 0

Answered: Over a 24-hour period 0

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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I need help with question 6 please

6. Over a 24-hour period 0 <t< 24, the power drawn by a household is given by the function
p(t)
= -0.007t? + 0.2t + 0.4,
where t is the number of hours after midnight, and p(t) is power, in kilowatts.
(a) At what time does the power drawn by the household reach its maximum? Justify your answers by using
calculus and including appropriate algebraic calculations, and circle your answer.
(b) What is the maximum power drawn by the household over the 24-hour period? Give your answer
accurate to two decimal places, include units, and circle your final answer.

Expert Solution

Step 1

Given the function

$p (t) = - 0.007 t^{2} + 0.2 t + 0.4$

where t is the number of hours after midnight and p(t) is power.

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Solved in 4 steps

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