9. [-/1 Points] DETAILS TANAPMATH7 11.1.054. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find f by solving the initial-value problem. f'(x) = , f(9) = 54 f ( x ) = Need Help? Read It Submit Answer 10. [-/1 Points] DETAILS TANAPMATH7 11.1.062. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the function f given that the slope of the tangent line to the graph of fat any point (x, f(x) ) is f'(x) and that the graph of f passes through the given point. (Remember to use absolute values where appropriate.) f' ( x ) = _ + 1; (1, 4) f ( x ) = Need Help? Read It11. [-11 Points] TANAPMATH711.1.068. ASKYOUR TEACHER PRACTICE ANOTHER The management of Lorimar Watch Company has determined that the daily marginal revenue function associated with producing and selling their travel clocks is given by R'(x) = 0.005x + 7, where X denotes the number of units produced and sold and R'(x) is measured in dollars/unit. (3) Determine the revenue function R(x) associated with producing and selling these clocks. R(x) = (b) what is the demand equation that relates the wholesale unit price p with the quantity of travel clocks demanded? p: Need Help? ASK YOUR TEACHER PRACTICE ANOTHER Ballast Dropped from a Balloon A ballast is dropped from a stationary hot-air balloon that is hovering at an altitude of 210 ft. The velocity of the ballast after t sec is 32t ft/sec. 12. [-/1 Points] TANAPMATH7 11.1.075. '/ (a (a) Find the height h(t) (in feet) of the ballast from the ground at time t. Hint: h'(t) = 32t and h(0) = 210. h(t) = (b) When will the ballast strike the ground? (Round your answer to two decimal places.) sec (c) Find the velocity of the ballast when it hits the ground. (Round your answer to two decimal places.) lit/sec Need Help