Differentiation Application. It's about time for another word problem. Yeah...I said it. 🤷🏿 Since I love me some calculus, the problem is coming from there. Solving word problems has never been a super strength, but I get better at them the more I do them. So, here we are...I need to get better.
To solve this week's problem in completion, you need to recall the following math skills:
✔️ How to translate English into math 🧐
✔️ How to find derivatives
Here is what WMP! #22 says:
Happy solving!
Check back on Friday, October 2nd for the solution, which will be posted below ⬇️.
Shameless plug: Follow me on Instagram @TheYoungeLady
✏️📓 Solution Time! 📓✏️
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This is a related rates word problem. Related rates or not, I read word problems at least twice...most often three to four times. After reading the problem, the formula with which you will take its first derivative with respect to time needs to be identified. In this case, it will be the volume of a cone. Check the problem for any special relationships and adjust the formula accordingly. Then, take the first derivative with respect to time.
Now, we need to identify in the problem the givens and the quantity of interest. Here is the problem, once again, with the important information color-coded:
Let's plug stuff in! 🤣 Plug-in the given information from the problem and finish solving for quantity of interest. Don't forget about the units!
Well, according to the solving, the height of the pile is approximately increasing at a rate of 0.196 ft/min.That's what I got. How about you?
▪️ How do you feel about related rates problems??
▪️ Comment below with your responses and let me know what you thought about this week's problem.
Thanks for solving with me this week!
See you next week for WMP! #23
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Cheers!
The Younge Lady
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