The ends of a trough, 12 ft in length, are isosceles trapezoids with height 4 ft, upper base 6 ft and lower base 4 ft. Water is pumped into the trough at the rate of 2 ft^3/min. If the height of the water is 1 ft, how fast is the water level rising?Follow • 1 Add com...
Learn to solve different kinds of related rate problems in calculus. This article is a full guide that shows the step-by-step procedure for solving problems involving related/associated rates. Includes 11 examples.
Related rates involve finding the rate of change of one variable with respect to another variable, while implicit differentiation involves finding the derivative of an implicit function where both variables are present in the equation. How can I identify when to use related rates or implicit differen...
And, your personal calculus may change depending on where you’re at in life. For example, see our piece analyzing whether you should have a mortgage during retirement for more on the pros and cons of carrying mortgage debt long term. ...
Nature doesn’t wait for a human year before changing. Interest earnings are a type of “growth”, but natural phenomena like temperature and radioactive decay change constantly, every second and faster. This is one reason why physics equations model change with “e” and not “(1+r)n”:...
Students will indicate their division of choice when they apply, so it’s important to ensure that your interests and experiences align with the focus of that school. You can change majors and take courses in other divisions down the line. However, you should still have preparation i...
And, your personal calculus may change depending on where you’re at in life. For example, see our piece analyzing whether you should have a mortgage during retirement for more on the pros and cons of carrying mortgage debt long term. ...