Hi I need help with questions 3, 4, 8, 13

2:57 III 6' [E' i webassignnet m 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) = 43.003): + 8 where x denotes the number of units produced and sold and R '(X) is measured in dollars/unit. (a) Determine the revenue function R(x) associated with producing and selling these clocks. Rm: 70.0015x2+8x (b) What is the demand equation that relates the wholesale unit price p with the quantity of travel clocks demanded? p: 70.0015x+8 , Need Help? 12. [1/1 Points] PREVIOUS ANSWERS TANAPMATHT 11 .1.075.NVA ASK YOUR TEACHER PRACTICE ANOTHER A ballast is dropped from a stationary hot-air balloon that is hovering at an altitude of 200 ft. The velocity of the ballast after t see is 32t ft/sec. Ballast / (a) Find the height hm of the ballast from the ground at time t. Hint: n'(t) = 32t and hm) = 200. hm: 200716? J ft (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.) ft/sec Need Help? _ PREVIOUS ANSWERS TANAPMATHT 11.1.082.NVA | MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER l The rate at which the risk of Down syndrome is changing is approximated by the function r(x) : 0.004641):2 0.3012x + 4.9 (20 s x s 45) where rix) is measured in percentage of all births per year and x is the maternal age at dellvery 13. [0.67/1 Points] (3) Find a function fgiving the risk as a percentage of all births when the maternal age at delivery is X years, given that the risk of Down syndrome at age 30 is 0.14% of all births. rm = 0.00154713 7 0.1500x2 + 4.9x , 53.089 x (b) 0n the basis of the model, what is the risk of Down syndrome when the maternal age at delivery is 41 years? 45 years? (Round your answers to two decimal places.) 41 years % 0/0 45 years ailment Save Assignment Progress Home My Assignments a Request Extension USE PRIVACY 2155 .II '3' Cl 6 webassignnet 4. [on Paints] PREVIOUS ANSWERS TANAPMATH7 10.5.016.NVA J ASK YOUR TEACHER PRACTICE ANOTHER For its beef stew, Betty Moore Company uses aluminum containers that have the form of right circular cylinders. Find the radius and height of a container if it has a capacity of 42 in.3 and is constructed using the least amount of metal. (Round your answers to two decimal laces.) radius height 5. [1I1 Points] PREVIOUS ANSWERS TANAPMATH7 10.5.018.NVA ASK YOUR TEACHER PRACTICE ANOTHER A Norman Window has the shape of a rectangle surmounted by a semicircle. Find the dimensions of a Norman window of perimeter 24 It that will admit the greatest possible amount of light. (Round your answers to two decimal places.) x k :9 6. [1\" Points] PREVIOUS ANSWERS TANAPMATH7 10.5.021.NVA ASK YOUR TEACHER PRACTICE ANOTHER The owner of a luxury motor yacht that sails among the 4000 Greek islands charges $640/person/day if exactly 20 people sign up for the cruise. However, if more than 20 people sign up (up to the maximum capacity of 90) for the cruise, then every fare is reduced by $8 for each additional passenger. Assuming at least 20 people sign up for the cruise, determine how many passengers will result in the maximum revenue for the owner of the yacht. q passengers What is the maximum revenue? What would be the fare per passenger in this case? (Round your answer to the nearest dollar.) ( dollars per passenger 7. [1M Points] PREVIOUS ANSWERS TANAPMATH7 10.5.022.NVA ASK YOUR TEACHER PRACTICE ANOTHER Phillip, the proprietor of a vineyard, estimates that the rst 10000 bottles of wine produced this season will fetch a prot of $5 per bottle. However, the prot from each bottle beyond 10000 drops by $00002 for each additional bottle sold. Assuming at least 10 s of wine are produced and sold, what is the maximum prot? (Round your answer correct to the nearest cent.) What would be the prot/bottle in this case? (Round the number of bottles down to the nearest whole bottle. Round your answer cerrect to the nearest cent.) B. [1l1 Points] PREVIOUS ANSWERS TANAPMATH? 10.5.027.NVA ASK YOUR TEACHER PRACTICE ANOTHER In the following diagram, 5 represents the position of a power relay station located on a straight coast, and E shows the location of a marine biology experimental station on an island. A cable is to be laid connecting the relay station with the expen'mental station. If the cost of mnning the cable on land is $1.50/running foot and the cost of running the cable under water is $2.70/running foot, locate the point P that will result in a minimum cost (solve for x). (Round your answer to the nearest whole "umber-i x = 2005 q ft 2:591 a webassign.net an+/ la- xlin6 3. [0/1 Points] DETAILS PREVIOUS ANSWERS TANAPMATH7 11.2.016.NVA MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the indefinite integral. (Remember to use absolute values where appropriate.) 5x 2 + 3 dx 0.5x3 + 0.9x 3.3 In 0.5x3 + 0.9x ) + C x + c Need Help? Watch It 4. [1/1 Points] DETAILS PREVIOUS ANSWERS TANAPMATH7 11.2.026.NVA MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the indefinite integral. (Use C for the constant of integration.) ( @ 6x + e - 5 x ) dx Need Help? Watch It 5. [1/1 Points] DETAILS PREVIOUS ANSWERS TANAPMATH7 11.2.030.NVA MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the indefinite integral. (Use C for the constant of integration.) 30-1/X dx Be (7 ) + C Need Help? Watch It 5. [1/1 Points] DETAILS PREVIOUS ANSWERS TANAPMATH7 11.2.040.NVA MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the indefinite integral. (Use C for the constant of integration.) (In(x)) 3/2 dx 2In(x) (2 ) + C v Need Help? Watch It 7. [1/1 Points] DETAILS PREVIOUS ANSWERS TANAPMATH7 11.2.046.NVA MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the indefinite integral. Hint: 715= 1 - - > . (Use C for the constant of integration. Remember to use absolute values where appropriate.) 1-5 In(t+5)) + c Need Help? Watch It 8. [0/1 Points] DETAILS PREVIOUS ANSWERS TANAPMATH7 11.2.054.NVA MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the function f given that the slope of the tangent line at any point (x, R(x)) is f '(x) and that the graph of f passes through the given point. f' ( x ) = 1 - - x2 + 1: (0, 7 ) f(x) = 7 - In(50) x 3