1. [-/1 Points] DETAILS HARMATHAP12 11.2.001. MY NOTES Find the derivative of the function. y = 6ex- 6x Need Help? Read It Watch It Submit Answer 2. [-/1 Points] DETAILS HARMATHAP12 11.2.003. MY NOTES Find the derivative of the function. f(x) = ex - xe Need Help? Read It Submit Answer 3. [-/1 Points] DETAILS HARMATHAP12 11.2.005. MY NOTES Find the derivative of the function. g(x) = 700(5 - e-0.1x) Need Help? Read It Submit Answer 4. [-/1 Points] DETAILS HARMATHAP12 11.2.007.MI. MY NOTES Find the derivative of the function. y = ex Need Help? Read It Watch It Master It Submit Answer5. [-/1 Points] DETAILS HARMATHAP12 11.2.009. MY NOTES Find the derivative of the function. y = 2e3x Need Help? Read It Submit Answer 6. [-/1 Points] DETAILS HARMATHAP12 11.2.019. MY NOTES Find the derivative of the function. s = tbet Need Help? Read It Submit Answer 7. [-/2 Points] DETAILS HARMATHAP12 11.2.044.MI. MY NOTES The future value that accrues when $700 is invested at 7%, compounded continuously, is S(t) = 700e0.07t where t is the number of years. (Round your answers to the nearest cent.) (a) At what rate is the money in this account growing when t = 8? $ per year (b) At what rate is it growing when t = 14? $ per year Need Help? Read it Master It Submit Answer8. [-/3 Points] DETAILS HARMATHAP12 11.2.045. MY NOTES After the end of an advertising campaign, the sales of a product is given by S = 800,000e-0.2t where S is weekly sales in dollars and t is the number of weeks since the end of the campaign. (a) Find the rate of change of S (that is, the rate of sales decay). ds dt (b) From looking at the function and its derivative, explain how you know sales are decreasing. The given function is an exponential [---Select--- | model. Additionally, the derivative of the given function is always ---Select--- v Need Help? Read It Submit Answer 9. [-/1 Points] DETAILS HARMATHAP12 11.2.051. MY NOTES Pollution levels in a lake have been modeled by the equation x = 0.03 + 0.18e-0.39t where x is the volume of pollutants (in cubic kilometers) and t is the time (in years). What is the rate of change of x with respect to time? x' (t ) = Need Help? Read It Submit Answer 10. [-/1 Points] DETAILS HARMATHAP12 11.2.053. MY NOTES With U.S. Department of Health and Human Services data from 2002 and projected to 2024, the total public expenditures for health care / can be modeled by H = 1,500e0.053t where t is the number of years past 2000 and H is in billions of dollars. If this model is accurate, at what rate (in billions of dollars per year) will health care expenditures change in 2020? (Round your answer to one decimal place.) $ billion/year Need Help? Read It Submit