5. After a new version of a certain type of computer is released, the total worldwide prots (in billions of dollars) are approximated by the function 135t2+130t Pt=,t>0 0 t2+2t+1 - where t is measured in years after the computer's release. a) Find P'(t) using differentiation rules (by hand). b) Use Geogebra CAS to verify your answer in (a): - Dene the function P(t) by inputting P(t) = if (t>=0, W . - Find the derivative of P(t) by inputting P' (t). c) How fast is the prot changing a year after the computer's release? d) What will the total prot be at that time? e) What is 330 P(t) and 310 P'(t)? Explain what they mean in this situation. 11 H 1/ \\ {/ \\ . I \\ I \\ 0(1\\ 1" {1\" 1 'I l'f\". l{1\\ |