A cargo container (in the shape of a rectangular solid) must have a volume of 420 cubic feet. The bottom will cost $8 per square foot to construct and the sides and the top will cost $2 per square foot to construct. Use Lagrange multipliers to find the dimensions of the container of this volume that has minimum cost.
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B. 
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C. 
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D. 
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E. 
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Answer: A
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Provide an appropriate response.Does knowing that 
? 1 tell you anything about 
Give reasons for your answer.
What will be an ideal response?
Answer the problem.Use the following function and a graphing calculator to answer the questions.f(x) = x4 - 5x2 + 5x + 2, [-0.5, 1.8]a). Plot the function over the interval to see its general behavior there. Sketch the graph below.
b). Find the interior points where f' = 0 (you may need to use the numerical equation solver to approximate a solution). You may wish to plot f' as well. List the points as ordered pairs (x, y).c). Find the interior points where f' does not exist. List the points as ordered pairs (x, y).d). Evaluate the function at the endpoints and list these points as ordered pairs (x, y).e). Find the function's absolute extreme values on
the interval and identify where they occur. What will be an ideal response?
Solve the problem. Use ? ? 3.14 when necessary.The foundation for a cylindrical fountain is a cylinder 25 in in diameter and 5 in high. How many cubic in of concrete are needed to build the foundation (to the nearest hundredth)?
A. 4906.25 in3 B. 9812.50 in3 C. 785.00 in3 D. 2453.13 in3
The polar coordinates of a point are given. Find the rectangular coordinates of the point.(-3, -135°)
A. 
B. 
C. 
D. 