Assignment:
Question 1. The acceleration at time t, of a particle moving along the x axis is given by a(t)=20t^3+6. At time t=0 the velocity of the particle is 0 and the position of the particle is 7. What is the position of the particle at time t?
Question 2. The function f is given by f(x)=3x^2+1. What is the average value os f over the closed interval [1,3]?
Question 3. Selected values of function f and g and their derivatives, f' and g' are given in the table If h(x)=f(g(x)), what is h'(30)?
x f(x) f'(x) g(x) g'(x)
10 35 15 6 4
20 8 5 12 10
30 24 25 20 10