Suppose that the position of a particle is given by s = t) = 4t3 + 215 + 9. (a) Find the velocity at time t. .\\ m 1.!(t) =l \\ . S (b) Find the velocity at time t = 3 seconds. in S (c) Find the acceleration at time t. o(t) = l: :12 (d) Find the acceleration at time t = 3 seconds. m 52 Question 4 Textbook @ Videos ' [+] -5 -4 -3 -2 -1 2 0 4 Select all the points at which the graph above is not differentiable 0 -4 0 -3 0 -2 0 -1 01 0 2 0 3 0 4.Question6 v | Textbook C ((2 Videos C [+] Let at) = 3;r:3+5;c 1 Use the limit definition of the derivative to calculate the derivative of f: f'cx} = l J Use the same formula from above to calculate the derivative of this new function (Le. the second derivative of f ): Mn) = l l Question 7 Textbook @ Videos ' [+] 16+ 15 14 13 12 10 2 4 6 8 10 12 14 16 18 20 22 9- The per capita consumption of breakfast cereal in the US has the following model that appears above C( t ) = -0.0037+ + 0.096t - 0.353t + 11.3 pounds, where t is the number of years since 1990. Decide whether the rate of consumption was changing more rapidly in 2006 or 2009. C' (16) = lbs/year C' (19) = lbs/year The rate was changing more rapidly in O 20090 2006..Question10 v | Textbook C @ Videos 5 [+1 Given at) = 21/37 + 2, nd f'(:t:) using the limit definition of the derivative. r (m)= [ ] . Question 11 > Textbook @ Videos _' [+] Given f(a) = 9 - 3x , find f' (a) using the limit definition of the derivative. f'(x)=. Question 13 Textbook @ Videos _' [+] Use the limit definition of the derivative to find the instantaneous rate of change of f(ac) = 7x2 + 5x+ 4 atx = 4 Question Help: Video Message instructor