4.) The ordering and transportation cost C for the components used in manufacturing product is c = 100 (E + x x x+30 size in hundreds. a. Find the rate of change with respect to x when x = 10 b. Find the rate of change with respect to x when x = 20 )for x 2 1, where C is measured in thousands of dollars and x is the order 5.) The price in dollars of a house during a period of mild inflation is described by the formula P(t) = 80,0009'05', where t is the number of years after 1990. a. How many dollars per year will the value of the house be increasing in year 2017? b. How many dollars per year will the value of the house be increasing in year 2005? 5.) A tomato is thrown from the top of a tomato cart. Its distance from the ground, in feet, is modeled by the equation d(t) = 16t2 + 53t + 5.4 where t is measured in seconds. a At what time does the tomato hit the ground What is the velocity function? b. c. At what time is the tomato's speed 3 ft/s d. At what time is the tomatoes acceleration 3 ft/sAZ 7.) The population of a town, in thousands, can be represented by the function, P(t) = 209000\