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1 . a shipping company handles rectangular boxes provided the sum of the height and the girth of the box does not exceed 96 in. ( the girth is the perimeter of the smallest base of the box). Find the dimensions of the box that meets this condition and ahs the largest volume using Lagrange Multipliers. Include a picture of the box with your labels. Show all the work involved in solving problem
2. use LAgrange multipliers to solve the following exercise
A home improvement contractor is apinting the walls and the ceilling of a rectangular room . The voulme of the room is 198.00 cubic ft. The cost of the wall is $ 0.06 per square foot and the cost of the ceilling paint is $ 0.11 per square foot.find the room dimensions that result in a minimum cost for the paint.
lenght ft?
width ft?
height ft?
what is the minimum cost for the paint? ( round your answer to two decimal places)
what is the least and greatest possible legnth of each side ?
Determine whether each equation is a linear equation. If yes, write the equation in standard form. y=2x+5
Find the values of the trigonometric functions of t from the given information.
Find the probability that Clair will win the third game in the next series of games palyed against Helen.
the speed of a stream is 6 mph. if a boat travels 54 miles downstream in the same time that it takes to travel 27 miles upstream, what is the speed of the boat in still water?
A customer asks how much 50 feet of rope will cost. your chart shows that there are 12.5 feet in a pound of rope. at $ 0.75 a pound, how much is rope?
an aircraft flew four hours with the wind. the return trip took 5 hours with the wind. if the speed of the plane in still air is 144 miles per hour more than the speed of the wind find the wind speed and the speed of the plane in still air.
Describe fractional parts. What are the two distinct requirements of fractional parts? Explain how children's concepts of partitioning need to be refined to produce a concept of fractional parts.
Use a change of variables to find the volume of the solid region lying below the surface f(x,y)=x^2 and above the plane region bounded by the line 2y - x = 1, 2y â?" x = 0, x = 1, and x = 2.
question a cohort study is conducted to assess the association between clinical characteristics and the risk of stroke.
Use the recurrence equation above and strong induction to prove that F(n) =1, where F(n) is the Fibonacci sequence.
A river 35 m wide flows south at a speed if 15 m/s. What must be the velocity and heading of the boat if it is to move directly from the west bank to the east bank in 5 seconds?
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