the position of a weight suspended from a spring is defined by the following function s(t)=cos(2t). find the velocity at pi/12

In the surface area formula for cylinders which expressionrepresents the lateral area

Acircle has a circumference of 28.36 units what is the diameter of the circle

It is saturday morning and jeremy has discovered he has a leak coming from the water heater in his attic. since plumbers charge extra to come out on the weekends, jeremy is planning to use buckets to catch the dripping water. he places a bucket under the drip and steps outside to walk the dog. in half an hour the bucket is 1/5 of the way full. what is the rate at which the water is leaking per hour?