Answer ALL the following question below: Please also make sure that your hand writing is clear and readable, thank you!

Section 5.5

8. [0/1 Points] DETAILS PREVIOUS ANSWERS TANAPCALC10 5.5.051. 2/4 Submissions Used MY NOTES Use implicit differentiation to find dy dx In(y) - 7x In(x) = -9 dy dy Need Help? Read It Watch It5. [011 Points] DET S PREVIOUS ANSWERS TANAPCALCW 4.5.010. U4 Submissions Used MY NOTES 3 Minimizing Packaging Costs What are the dimensions of a closed rectangular box that has a square cross section, a capacity of 132 in. of material? (Round your answers to two decimal places.) , and is constructed using the least amount Need Help? 7. [0.5/1 Points] DETAILS PREVIOUS ANSWERS TANAPCALC10 4.5.018. 1/4 Submissions Used MY NOTES Designing a Norman Window A Norman window has the shape of a rectangle surmounted by a semicircle. Find the dimensions of a Norman window of perimeter 21 ft that will admit the greatest possible amount of light. (Round your answers to two decimal places.) X ft V ft Need Help? Read It8. [-f'l Points] TANAPCALC10 4.5.021. 0M Submissions Used Charter Revenue The owner of a luxury motor yacht that sails among the 4-000 Greek islands charges 3820Jpersonfday if exactly 20 people sign up for the cruise. However, if more than 20 people sign up [up to the maximum capacity of 100) for the cruise! then each fare is reduced by 510 for each additional passenger: Assuming at least 2-0 people sign up for the cruise, determine how many passengers will result in the maximum revenue for the owner of the yacht. What is the maximum revenue? $ :| What would be the fa refpassenger in this case? (Round your answer to the nearest dollar.) |:| dollars per passenger Need Help? 9. [0/1 Points] DETAILS PREVIOUS ANSWERS TANAPCALC10 4.5.023. 1/4 Submissions Used MY NOTES Optimal Speed of a Truck A truck gets 700/x miles per gallon (mpg) when driven at a constant speed of x mph, where 40 S x $ 80. If the price of fuel is $2.80/gal and the driver is paid $13/hr, at what speed is it most economical for the trucker to drive? (Round your answer to two decimal places.) mi/h Need Help? Read It10. [-/1 Points] DETAILS TANAPCALC10 4.5.027. 0/4 Submissions Used MY NOTES Minimizing Cost of Laying Cable In the following diagram, S 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 experimental station. If the cost of running the cable on land is $1.50/running foot and the cost of running the cable under water is $2.60/running foot, locate the point P that will result in a minimum cost (solve for x in ft). (Round your answer to the nearest whole number.) Island E 3000' S Land X 10,000-X - 10,000' X = ft Need Help? Read It Watch It