A meteorologist estimates how long a passing storm will last by using the function `t(d)=0.08d^((3)/(2))`, where d is the diameter of the storm, in miles, and t is the time, in hours. If the storm lasts 16.2 minutes, find its diameter, in miles.

For a new car, the gas mileage in terms of its speed x is modeled by the function G(x)=-1/28x^2+3x-31 , where 15 le x le 90 , and x is speed in miles per hour and G is miles per gallon. At what speed, in miles per hour, does the car attain its best gas mileage ?

A pipe of diameter d can drain a certain water tank in 40 minutes. The time taken by a pipe of diameter 2d for doing the same job in :

The area A of a circle is related to its diameter by the equation A = (pi)/4 D^(2) . How fast is the area changing with respect to the diameter when the diameter is 10 m ?

At his usual rowing rate, Rahul can travel 12 miles downstream in a certain river in 6 hours less than it takes him to travel the same distance upstream. But if he could double his usual rowing rate for his 24-mile round trip, the downstream 12 miles would then take only one hour less than the upstream 12 miles. What is the speed of the current in miles per hours? 1 1/3 b. 1 2/3 c. 2 1/3 d. 2 2/3

A particle is performing circular motion with its diameter d and velocity v. Then the angular displacement of the particle in time t is

If T is the surface tension of soap solution, the amount of work done in blowing a soap bubble from a diameter D to 2D is

If T is the surface tension of soap solution, the amount of work done in blowing a soap bubble from a diameter D to 2D is

Find the equation of the straight lines passing through the following pair of point: (0,-a)a n d\ (a t_2,\ a//t_2)

The value of (d^(2)y)/(dx^(2)) at the point where t=0 is