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Question 3. (Based on OpenStax Calculus, Volume 1, section 4.3, exercises 142 and 143)Assume that during the California gold rush, the amount of gold per year produced t years after thegold rush started was25tt2 +16million ounces. When did the local and absolute maximum and minimum gold production occur, andwhat were the production levels? Assume the gold rush lasted 40 years, so that 0 S t3 40. You mayuse a calculator for numeric calculations. (See the book's discussion just before exercises 142 and 143on page 378 of our PDF version for more information.)

Question

I found the two values of t, but I’m not sure what to do from there

Question 3. (Based on OpenStax Calculus, Volume 1, section 4.3, exercises 142 and 143)
Assume that during the California gold rush, the amount of gold per year produced t years after the
gold rush started was
25t
t2 +16
million ounces. When did the local and absolute maximum and minimum gold production occur, and
what were the production levels? Assume the gold rush lasted 40 years, so that 0 S t3 40. You may
use a calculator for numeric calculations. (See the book's discussion just before exercises 142 and 143
on page 378 of our PDF version for more information.)
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Question 3. (Based on OpenStax Calculus, Volume 1, section 4.3, exercises 142 and 143) Assume that during the California gold rush, the amount of gold per year produced t years after the gold rush started was 25t t2 +16 million ounces. When did the local and absolute maximum and minimum gold production occur, and what were the production levels? Assume the gold rush lasted 40 years, so that 0 S t3 40. You may use a calculator for numeric calculations. (See the book's discussion just before exercises 142 and 143 on page 378 of our PDF version for more information.)

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check_circleAnswer
Step 1

We are given equation for G(t)

We can find derivative

 

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Step 2

Now, we can set it to 0 

and then we can solve for t

 

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Step 3

Since, time can not be negative 

So, we will only consider t=...

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