10. [-/0.71 Points] DETAILS TANAPMATH7 9.4.036. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Let ((x) = 4x5/4 + 6x3/2 + 5x. Find the following. (a) f'(16) (b) f'(81) Need Help? Read It 11. [-/0.71 Points] DETAILS TANAPMATH7 9.4.042. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the slope and an equation of the tangent line to the graph of the function f at the specified point. ((x) = - 2x2 + 6x + 6; (-1, - 2) slope equation Need Help? Read It 12. [-/0.71 Points] DETAILS TANAPMATH7 9.4.044. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the slope and an equation of the tangent line to the graph of the function f at the specified point. ((x) - Vx + i (16, 12 ) slope equation y = Need Help? Read It 13. [-/0.71 Points] DETAILS TANAPMATH7 9.4.046. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Let ((x) = x3- 2x2. Find the points on the graph of f where the tangent line is horizontal. (Enter your answers as a comma- separated list.) smaller x-value (x, y) = larger x-value (x, y) = Need Help? Read It 14. [-/0.77 Points] DETAILS TANAPMATH7 9.4.062. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Spending on Medicare Based on the current eligibility requirement, a study conducted in 2004 showed that federal spending on entitlement programs, particularly Medicare, would grow enormously in the future. The study predicted that spending on Medicare, as a percentage of the gross domestic product (GDP), will be P(t) = 0.27+2 + 1.4t + 2.2 (0 s t s 5) percent in year t, where & is measured in decades, with t = 0 corresponding to 2000.+ (Round your answers to two decimal places.) (a) How fast was the spending on Medicare, as a percentage of the GDP, growing in 2020? %/decade How fast will it be growing in 2030? %/decade (b) What was the predicted spending on Medicare in 2020? % What will it be in 2030? Need Help? Read It