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Related Rates Problems | Calculus Lesson 18 - JK Math
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How to Solve Related Rates Problems (Calculus Lesson 18)
In this lesson we learn how to solve related rates problems. We begin with the concept of rates that are related to each other due to variables that are changing with respect to time. Then we move into the heart of related rates problems, which are word problems. We look at how related rates show up in the area of a circle, the volume of a sphere, and the volume of a cone. The types of related rates problems are numerous. We also briefly cover the basic guidelines/steps you should keep in mind while trying to solve these problems.
This course is designed to help students understand the concepts of calculus at a grounded level. No long, boring, and unnecessary explanations, just what you need to know at a reasonable and digestible pace, with each lesson under 20 minutes!
Calculus requires a solid understanding of precalculus and algebra concepts and techniques including factoring, equation manipulation, trigonometric equations, logarithms, finding slope, graphing, and many more. If you are not familiar with these prerequisite topics, be sure to learn them first!
Video Chapters:
0:00 What are Related Rates? - A Basic Example
2:40 Example - Area of a Circle
7:04 Guidelines For Solving Related Rates Problems (PAUSE to Read)
7:21 Example - Volume of a Spherical Balloon
11:36 Example - Volume of Water in a Conical Tank
⚡️Math Products I Recommend⚡️
⚡️Textbooks I Use⚡️
⚡️My Recording Equipment⚡️
(Commissions earned on qualifying purchases)
Find me on social media:
Instagram: @jk_mathematics
Thanks for watching! Any questions? Leave a comment!
-Josh from JK Math
#calculus
Disclaimer: Please note that some of the links associated with the videos on my channel may generate affiliate commissions on my behalf. As an amazon associate, I earn from qualifying purchases that you may make through such affiliate links.
In this lesson we learn how to solve related rates problems. We begin with the concept of rates that are related to each other due to variables that are changing with respect to time. Then we move into the heart of related rates problems, which are word problems. We look at how related rates show up in the area of a circle, the volume of a sphere, and the volume of a cone. The types of related rates problems are numerous. We also briefly cover the basic guidelines/steps you should keep in mind while trying to solve these problems.
This course is designed to help students understand the concepts of calculus at a grounded level. No long, boring, and unnecessary explanations, just what you need to know at a reasonable and digestible pace, with each lesson under 20 minutes!
Calculus requires a solid understanding of precalculus and algebra concepts and techniques including factoring, equation manipulation, trigonometric equations, logarithms, finding slope, graphing, and many more. If you are not familiar with these prerequisite topics, be sure to learn them first!
Video Chapters:
0:00 What are Related Rates? - A Basic Example
2:40 Example - Area of a Circle
7:04 Guidelines For Solving Related Rates Problems (PAUSE to Read)
7:21 Example - Volume of a Spherical Balloon
11:36 Example - Volume of Water in a Conical Tank
⚡️Math Products I Recommend⚡️
⚡️Textbooks I Use⚡️
⚡️My Recording Equipment⚡️
(Commissions earned on qualifying purchases)
Find me on social media:
Instagram: @jk_mathematics
Thanks for watching! Any questions? Leave a comment!
-Josh from JK Math
#calculus
Disclaimer: Please note that some of the links associated with the videos on my channel may generate affiliate commissions on my behalf. As an amazon associate, I earn from qualifying purchases that you may make through such affiliate links.
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