Please help me solve question 19 Volume? If so,Istrating the general situation. Intro-dlion and label the diagram with your symbols.Write an expression for the volume.(d) Use the given information to write an equation thattoh relates the variables.(e) Use part (d) to write the volume as a function of onevariable.(f) Finish solving the problem and compare the answer withhoseyour estimate in part (a).13. A farmer wants to fence in an area of 15,000 m² in a rectan-gular field and then divide it in half with a fence parallel toe one of the sides of the rectangle. How can he do this so as tominimize the cost of the fence?14. A box with a square base and open top must have a volume ofto 32,000 cm'. Find the dimensions of the box that minimize theneamount of material used.15. If 1200 cm? of material is available to make a box with asquare base and an open top, find the largest possible volumeof the box.es16. A rectangular storage container with an open top is to havea volume of 10 m. The length of its base is twice the width.Material for the base costs $10 per square meter. Material forthe sides costs $6 per square meter. Find the cost of materialsfor the cheapest such container.gnal od bni17. Do Exercise 16 assuming the container has a lid that is madefrom the same material as the sides.18. A farmer wants to fence in a rectangular plot of land adjacentto the north wall of his barn. No fencing is needed along thebarn, and the fencing along the west side of the plot is sharedwith a neighbor who will split the cost of that portion of thefence. If the fencing costs $30 per linear meter to install andthe farmer is not willing to spend more than $1800, find the19. If the farmer in Exercise 18 wants to enclose 150 squaremeters of land, what dimensions will minimize the cost ofdimensions for the plot that would enclose the most area.20. (a) Show that of all the rectangles with a given area, the onewith smallest perimeter is a square.the fence?(b) Show that of all the rectangles with a given perimeter, theone with greatest area is a square.21. Find the point on the line y = 2x + 3 that is closest to theorigin.22. Find the point on the curve y = Vx that is closest to thepoint (3, 0).

Name: Please help me solve question 19 Volume? If so,Istrating the general s
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Description: Please help me solve question 19 Volume? If so,Istrating the general situation. Intro-dlion and label the diagram with your symbols.Write an expression for the volume.(d) Use the given information to write an equation thattoh relates the variables.(e