1. [-/1 Points] DETAILS LCALCCON5 3.6.003. Write a derivative formula for the function. f(x) = (9x2 + 14x + 6)(33x3 + 32
Posted: Tue May 10, 2022 9:29 pm
- 1 1 Points Details Lcalccon5 3 6 003 Write A Derivative Formula For The Function F X 9x2 14x 6 33x3 32 1 (30.74 KiB) Viewed 22 times
3. [-/1 Points] DETAILS LCALCCON5 3.6.011. MY NOT Write a derivative formula for the function. f(x) = (75x) 196 + 17 1 + 7.68e-0.85x f'(x) = Need Help? Read It 4. [176 Points] DETAILS PREVIOUS ANSWERS LCALCCON5 3.6.021. MY NOT The profit from the supply of a certain commodity is modeled as P(q) = 30 + 50 In(q) thousand dollars where q is the number of million units produced. (a) Write an expression for average profit (in dollars per unit) when a million units are produced. 0.5 P(q) 9 x = (b) What are the profit and the average profit when 14 million units are produced? (Round your answers to three decimal places.) profit $ 52.565 X thousand average profit $ 0.038 x (c) How rapidly are profit and average profit changing when 14 million units are produced? (Round your answers to three decimal places.) profit $ 3.846 X thousand per million units average profit $ -295.858 X per million units
5. [-/16 Points] DETAILS LCALCCON5 3.6.023. MY NOTES ASK YOUR TEACHER PRACTICE ANC A store has determined that the number of Blu-ray movies sold monthly is approximately n(x) = 6250(0.931*) movies where x is the average price in dollars. (a) Write the function for the model giving revenue in dollars, where x is the average price in dollars. R(x) = dollars (b) If each movie costs the store $10.00, write the function for the model that gives profit in dollars, where x is the average price in dollars. P(x) = dollars (c) Complete the table. (Round your answers to three decimal places.) Rates of Change of Revenue and Profit Rate of change Rate of change of revenue of profit Price (dollars per dollar) (dollars per dollar) $13 $14 $20 $21 $22 (d) What does the table indicate about the rate of change in revenue and the rate of change in profit at the same price? revenue is -Select--- v ) while the rate of change of profit is --Select--- v There is a range of prices beginning near $14 for which the rate of change of revenue is ---Select--- v (profit is --Select--- v