3.7 Homework - Rates of Change (Homework)

6. [-/1 Points] DETAILS SCALCET8 3.7.011. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A company makes computer chips from square wafers of silicon. It wants to keep the side length of a wafer very close to 18 mm and it wants to know how the area A(x) of a wafer changes when the side length x changes. Find A'(18). A'(18) = mm4/mm Explain the meaning of A'(18) in this situation. O A'(18) represents the rate at which the area is increasing with respect to the side length as A reaches 36 mm". O A'(18) represents the rate at which the area is increasing with respect to the side length as x reaches 18 mm. O A'(18) represents the rate at which the area is increasing as x reaches 36 mm. O A'(18) represents the area as the side length reaches 18 mm. O A'(18) represents the rate at which the side length is increasing with respect to the area as x reaches 18 mm. Need Help? Watch ItIf the cost function of producing a product is c = 10x + 300, the average rate of change will be 10. True O False 8. [-/1 Points] DETAILS SCALCET8 3.7.JIT.005.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Factor the expression. 2x2 - 4x - 70 Need Help? Watch It Master ItThe population of a country in year 1996 was 32 million and in year 2000 was 36 million. The average rate of change of the population between years 1996 to 2000 has been 4 million. O True O False 10. [-/1 Points] DETAILS SCALCET8 3.7.036. MY NOTES ASK YOUR TEACHER Invasive species often display a wave of advance as they colonize new areas. Mathematical models based on random dispersal and reproduction have demonstrated that the speed with which such waves move is given by the expression 2v Dr, where r is the reproductive rate of individuals and D is a parameter quantifying dispersal. Calculate v'(r), the derivative of the wave speed with respect to the reproductive rate r. v' ( r ) = Explain its meaning. O v'(r) is the rate of change of invasive species wave speed with respect to the reproductive rate of a population. O v'(r) is the rate of change of the reproductive rate of a population with respect to the inverse of invasive species wave speed derivative. O v'(r) is the rate of change of the reproductive rate of individuals with respect to invasive species wave speed. O v'(r) is the rate of change of the reproductive rate of a population with respect to the invasive species wave speed. O v'(r) is the rate of change of invasive species wave speed with respect to the reproductive rate of individuals