3t Machine Can Someone Help Me With These Calculus Questions?

Can someone help me with these Calculus Questions? - 3t machine

If someone can show me how these problems highly appreciated work. Thanks


1. The equation gives the position s = t ^ 2-3t 2 of a body moving along a coordinate axis, s is in meters and t in seconds

a. Find the displacement of the body and the average speed in the time interval between t = 0 and T = 2

b. Find the object velocity and acceleration at time t = 2

2. Suppose the dollar costs for the production of washing machines, X
c (x) = 2000 100 x ^ 2-0.1x

a. Find the average production of 100 washing machines

b. Find the marginal cost to an average of 100 washing machines

c. They show that the marginal cost to an average of 100 washing machines on the cost of producing a washing machine is more after the first 100 events, compute the cost of it directly.

3. the number of gallons of water in a tank t minutes after the tank began to drain, then Q (t) = 200 (30 t) ^ 2

a. What is the speed of flowing water for 10 minutes?

b. What taverage speed, flows with the water in the first 10 minutes?