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A hot water tank is a vertical cylinder surmounted by a hemispherical top of the same diameter . The tank is designed to hold 750m^3 of liquid.
Determine using Lagrange multipliers the total height and the diameter of the tank if surface heat loss is to be a minimum.
The probability that Simon completes his homework is 7/8 and the probability that Hannah completes her homework is 3/4. By drawing a tree diagram, find the probability that
You are the process improvement manager and have developed a new machine to cut insoles for the company's top-of-the-line running shoes.
Create a system of linear equations from your own life. Keep in mind that a system of linear equations will consist of two equations using the same variables and the variables will represent the same thing for both equations
The scores on a lab test are normally distributed with mean of 200. If the standard deviation is 20, find
Calculate the operating cost for the lowest 6% of the airplanes? (Round z value to 2 decimal places. Omit the "$" sign in your response.)
Sarah, Jolly and Betty are female triplets. They and their 10 cousins are posing for a series of photographs. One pose involves all 13 children. How many ways can the 7 boys and 6 girls be arranged in one row under each of the following conditions..
Chemistry: Delta Systems The element cesium (Cs) freezes at 28.4?, and its molar enthalpy heat of fusion is AHfus=2.09 Kj/mol
Find the linear equation that relates value (V) in dollars to time (t) in years. What would be the value of the equipment after 6 years?
Let G be finite abelian group with this property: For each positive integer m such that m | |G|, there are exactly m elements in G with order dividing m. Prove that G is cyclic.
An experimental test to detect a particular type of cancer indicates the presence of cancer in 90% of individuals known to have this type of cancer, and in 15% of individuals known to be cancer-free (false positive)
The exact value of the indicated trigonometric function.
Find the x-intercept(s) and the coordinates of the vertex for the parabola y=x^2+2x-35 . If there is more than one x -intercept, separate them with commas.
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