rocomath said:Wrong formula, find the correct formula and we'll proceed.
Eh, I can somewhat agree ... but I still assume OP didn't realize W=L :p (noticing in the post, L=3)Dick said:It's not really wrong, if it's square then just set W=L. So SA=L^2. Now we can proceed, right?
The concept of related rates is a mathematical technique used to find the rate of change of one variable with respect to another variable in a given scenario. It is important in science because many real-world problems involve multiple variables that are constantly changing, and related rates allow us to analyze and understand these changes.
To differentiate related rates, we use the chain rule of differentiation. This involves taking the derivative of each variable with respect to time and setting up an equation that relates the rates of change of the variables. Then, we solve for the desired rate of change.
Some common examples of problems that involve related rates include rates of change of geometric figures (such as the volume of a cone), rates of change of physical quantities (such as velocity and acceleration), and rates of change in real-world scenarios (such as the melting rate of an ice cube).
To know when to use related rates, you should identify if the problem involves multiple variables that are changing with respect to time. If so, then related rates can be used to find the rate of change of one variable in terms of the rate of change of another variable.
No, related rates can only be used in problems where the variables are changing with respect to time. If the problem involves constant variables, then related rates cannot be used and another method of differentiation must be applied.