Related Rates and Differential Equations
(a) If A is the area of a circle with radius r and the circle expands as time passes, find dA/dt in terms of dr/dt.
(b) Suppose oil spills from a ruptured tanker and spreads in a circular pattern. If the radius of the oil spill increases at a constant rate of 1 m/s, how fast is the area of the spill increasing when the radius is 30 m?
Â© BrainMass Inc. brainmass.com June 7, 2023, 2:49 pm ad1c9bdddfhttps://brainmass.com/math/basiccalculus/relatedratesdifferentialequations26525
Solution Preview
(a)
A=Pi*r^2 indicates the area.
Now, to find what we want it suffices to ...
Solution Summary
This shows how to find rate of change of area of an oil spill.
Free BrainMass Quizzes

Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.

Each question is a choicesummary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.