Can someone explain to me how to set up abd use a sign chart in calc? Like for example, if I have the derivative of something and i need to know where its positive or negative, or if i need to know if its increasing or decreasing. Or if i need to know what intervals its moving tp the right and in and which ones is it moving to the left in?

Natasha spent 1 1/2 hours on the beach. she fell asleep for 3/4 of the time she was on the beach and then woke up with a terrible sunburn. how many hours was natasha asleep on the beach?

Find the value of p for which the polynomial 3x^3 -x^2 + px +1 is exactly divisible by x-1, hence factorise the polynomial

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?