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If the total cost of producing x gimcracks is C(x) = 144 + 40x + x2 how many gimcracks should you make in order to minimize the average cost of a gimcrack? What is the minimum possible average cost?
A rectangular swimming pool 16 m by 11 m is being filled at the rate of 0.4 m3/min. How fast is the height h of the water rising?
Water leaks from a vertical cylindrical tank through a small hole in its base at a rate proportional to the square root of the volume of water remaining. The tank initially contains 250 liters and 23 liters leak out during the first day. When will..
Write the vertical motion equation for this problem.
Find a set S for Theorem 2.2.3 when G is a forest. Show that X is minimal as an a - b separator if and only if every vertex in X has a neighbor in the component Ca of G - X containing a, and another in the component Cb of G - X containing b.
How long does it take for the tire to make one complete rotation and for how many seconds (to 2 decimal places) is the stone at least 120 cm above the ground during the first rotation of the tire?
perform a literature survey on self-adjusting data structures. you may start with a recent paper and fully understand
One of the concepts you encountered in the readings this module was how to recognize the use and misuse of information presented in the form of percentages. In this discussion assignment, you will conduct an Internet search to find several example..
Given that there is a total resistance to motion of 60N throughout the go-kart's motion, find the maximum speed which the go-kart can achieve.
Two tracking stations are on the equator 119 miles apart. A weather balloon is located on a bearing of N 35°E from the western station and a bearing of N 22°E from the eastern station. How far, to the nearest mile, is the balloon from the western ..
When is the particle moving in the positive direction? (Enter your answer using interval notation.) Find the total distance traveled during the first 6 s. ft Find the acceleration at time t (in ft/s2).
Consider all right circular cylinders for which the sum of the height and circumference is 30 centimeters. What is the radius of one with maximum volume.
What is a binomial factor? In your own words, describe the process of factoring by grouping. Explain how the distributive property is used in this process. Give a detailed example of this process.
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