carlodelmundo said:Okay, Dick.
I get dA/dt = 2s dS/Dt. Since it's saying that the area is increasing three times as fast as its side is increasing... 2s must equal to 3. or s = 3/2
is this correct?
Related Rates is a topic in BC Calculus that deals with finding the rate of change of one variable with respect to another variable. It involves using derivatives to solve problems involving changing quantities.
Some common examples of related rates problems include finding the rate at which the sides of a triangle are changing, the rate at which the volume of a sphere is changing, and the rate at which the height of a balloon is changing.
To solve related rates problems, you first need to identify the variables involved and the given rate of change. Then, you can use the chain rule and implicit differentiation to find the related rates equation. Finally, you can plug in the given values and solve for the unknown rate of change.
Yes, related rates problems are often used in real-world applications in fields such as physics, engineering, and economics. They can be used to model changing quantities and make predictions about how they will change over time.
Some common mistakes to avoid when solving related rates problems include not properly identifying the variables, not using the chain rule or implicit differentiation correctly, and not carefully setting up the related rates equation. It is also important to check your units and make sure they are consistent throughout the problem.