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A cylinder shaped can needs to be constructed to hold 450 cubic centimeters of soup. The material for the sides of the can costs 0.03 cents per square centimeter. The material for the top and bottom of the can need to be thicker, and costs 0.05 cents per square centimeter. Find the dimensions for the can that will minimize production cost.
It takes 3 seconds to flip a sandwich and 5 seconds to take one off or put one on the grill. What is the shortest amount of time needed to toast all 5 sandwiches?
A student insists on finding a common denominator by always multiplying the denominators of the expressions being added. How could this approach be improved?
Find the stationary points and determine their nature of the following function: f (x, y) = x3 + y2 - 3x + 4y + 2. Sketch the region of integration and evaluate the integral: 0∫2 0∫√(4-x^2) x2y dy dx.
A hemisphere of radius 5 sits on a horizontal plane. A cylinder stands with its axis vertical, the center of its base at the center of the sphere, and its top circular rim touching the hemisphere. Find the radius and height of the cylinder of maxi..
Complete all three parts. a) Can I square 9 minus x by first squaring the 9 then squaring the x? In other words, would this be correct: 9sq minus xsq? Why or why not? If it is incorrect, what would be the correct way?
The company is planning on withdrawing this model when annual sales reaches 60 000 cell phones. If current annual sales of these phones are 100 000. find S(t). How long will the company continue to manufacture this phone?
Consider the Differential Equations (d2y / dx2) - (dy / dx) - 30y = 0, (a) Write the DE using D-operator notation (b) Solve the DE for y by solving two first-order DEs.
An Alfa Romeo going at 70 mph requires 160 feet to stop. Assuming that the stopping distance is proportional to the square of velocity, find the stopping distances required by an Alfa Romeo going at 35 mph and at 140 mph (its top speed).
Gretchen Schmidt plans to buy shares of two stocks. One costs $32 per share and pays dividends of $1.20 per share. The other costs $23 per share and pays dividends of $1.40 per share. She has $10,100 to spend and wants to earn dividends of $540. H..
a sum of money is shared among 3 brothers the eldest received 7/13, and the next received 2/3 of the remainder. If the youngest brother received $6 . Find the sum of the money shared.
Discuss which technique (Gaussian elimination, substitution, or Cramer's rule) you prefer when solving a system of equations. Why? What circumstances would cause you to use a different method? You do not have to solve the systems of equations.
Three marbles are chosen without replacement from a box containing 12 red, 7 blue, and 8 yellow marbles. Let X be the number of blue marbles chosen.
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