please solve all on paper woth full explanation

10. 11. 12. 13. 14. 15. 16. 17. Express the derivative of glx =x2f| le in terms of f and the derivative off. Let lelzflflxll. Does it follow that F'ixl:[f'lx I2? suPPOSIZ h=9 f. Does it follow that h'=q 'f -? The number of viewers of a television series introduced Several years ago is approximated by the function: 2 N'xl=l50+2xl3 1995 where Nix} (measured in thousands) denotes the number of weekly viewers of the series in the x'\" week. Find the rate of increase of the weekly audience at the end of week 2 and at the end of week 12. How many viewers were there in week 2? In week 4? The registrar of a prominent city in Montreal estimates that the total student enrollment in the Continuing Education will be given by: Ni. 220-000 V51+0.2t +21,000 where N(t) denotes the number of students enrolled in the division t year from now. Find an expression for N'(t). How fast is the student enrollment increasing currently? How fast will it be increasing 5 years from now? The president of a major housing construction firm claims that the number of construction jobs created is given by lel:1.42x where denotes the number of housing starts. Suppose the number of housing starts in the next t months is expected to be 7 7t2+140t+700 7 3r2+80r+550 million units/year. Find an expression that gives the rate of change at which the number of construction jobs will be created t months from now. At what rate will construction jobs be created 1 year from now? Government economists of a developing country determined that the purchase of imported perfume is related to a proposed \"luxury tax" by the formula: N I x :v510,0007 40xi 002th x S 200 where N(x) measured the percentage of normal consumption of perfume when a \"luxury tax" of X% is imposed on it, Find the rate of change of Nix) for taxes of 10, 100, and 150_ The quantity demanded per month, x, of a certain make of personal computer (PC) is related to the average unit price, p (in dollars), of PCs by the equation: xzf:pi:%t810,ooop2, It is estimated that t months from now, the average price of a PC will be given by pm: 409+2000grgeo "f 1 V_ + 3 dollars. Find the rate at which the quantity demanded per month of the PCs will be changed 16 months from now