A candymaker makes 500 pounds of candy per week, while his large family eats the candy at a rate equal to pounds per week, where Q(t) is the amount of candy present at time t. Q(t) 10 (a) Find Q(t) for t> 0 if the candymaker has 250 pounds of candy at t = 0. (b) Find lim Q(t). t4x

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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3. A candymaker makes 500 pounds of candy per week, while his large family eats the candy at a rate
equal to
pounds per week, where Q(t) is the amount of candy present at time t.
Q(t)
10
(a) Find Q(t) for t> 0 if the candymaker has 250 pounds of candy at t = 0.
(b) Find lim Q(t).
t-∞
Transcribed Image Text:3. A candymaker makes 500 pounds of candy per week, while his large family eats the candy at a rate equal to pounds per week, where Q(t) is the amount of candy present at time t. Q(t) 10 (a) Find Q(t) for t> 0 if the candymaker has 250 pounds of candy at t = 0. (b) Find lim Q(t). t-∞
Expert Solution
Step 1

We have given that, Qt=amount of candy present at time t.

A candymaker makes 500 pounds of candy per week, while his large family eats the candy at a rate equal to Qt10 pounds per week.

 

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