Part 1 of 2 The approximate rate of change in the number of design patent applications received in recent years is given by the equation below, where t represents the number of years since 2000 and p represents the number of design patents (in thousands). In 2018, the number of applications for a design patent was 45, 083. p'(t) =0.01063t+ 2.16 Complete parts (a) and (b) below. (a) Find the function that gives the total number (in thousands) of design patent applications received in year t. P(t)= (Type an exact answer.)