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CalculusQ&A Library7.times the second num8. The sum of the first number squared and the second number is9. The sum of the first number and twice the second number is10. The sum of the first number cubed and the second number issFindoduct is54 and the product is a maximum.22. Маy-a108 and the product is a maximum.the onetable to500 and the product is a maximum.lenMaximum Area In Exercises 11 and 12, findthe length and width of a rectangle that has thegiven perimeter and a maximum area.a m1000512. Perimeter: P units180011. Perimeter: 80 meters4Minimum Perimeter In Exercises 13 and 14find the length and width of a rectangle that hasthe given area and a minimum perimeter.2ction in(b) and14. Area: A square centimeters13. Area: 49 square feet-11FiguMinimum Distance In Exercises 15 and 16,find the points on the graph of the function that areclosest to the given point.is Ansquare23. Мquarestri15. y 2, (0, 3)16. y x2- 2, (0, -1)a17. Minimum Area A rectangular poster is to contain648 square inches of print. The margins at the top and bottomof the poster are to be 2 inches, and the margins on the letand right are to be 1 inch. What should the dimensions of theposter be so that the least amount of poster is used?18. Minimum Area A rectangular page is to conta36 square inches of print. The margins on each side are to be1inches. Find the dimensions of the page such that the least(a24.tamount of paper is used.s the one19. Minimum Length A farmer plans to fence a rectangularpasture adjacent to a river (see figure). The pasture mustcontain 405,000 square meters in order to provide enoughgrass for the herd. No fencing is needed along the river. Whattable toVdimensions will require the least amount of fencing?= 484800Question

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