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...
Related rates are calculus problems that involve finding a rate at which a quantity changes by relating to other known values whose rates of change are known. For instance, if we pump air into a donut floater, both the radius and the balloon volume increase, and their growth rates are relat...
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...
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 “$(1+r)^n$...