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The ages of five randomly chosen professors are 62, 59, 51, 60, and 41. Calculate the sample variance of these ages. If the odds against winning a game are 3 to 4, what is the probability of winning the game?
An open-topped cylindrical pot is to have volume 125in^3. What dimensions will minimize the total amount of material used in making this pot?
A rectangular swimming pool 60 ft long, 10 ft wide, and 12 ft deep is filled with water to a depth of 11 ft. Use an integral to find the work required to pump all the water out over the top. (Take as the density of water delta = 62.4 hbox{lb/ft}^3..
How fast is the radian measure of the angle between the ladder and the ground changing at the moment when the bottom of the ladder is 12 feet away from the wall?
Use the mathematical and graphical analyses to determine the equation of the above function if the parabola cross the line y=2x at two points with the x-coordinates 0 and 10. Hint: there is more than one solution.
determine the steady state response of this system.
In how many ways can all the trees be distributed and planted if the trees are distinct, any family can get any number, and a family must plant its trees in an evenly spaced row along the road?
Why is differentiation not a linear transformation from V to V? What is the image of V under the operation of taking the second derivative?
expressing the given exponential function as a power series by determining its coefficients.the following functions
Translate the following argument in symbolic form and determine whether it's logically correct by constructing a truth table. If affirmative action policies are adopted, then minorities will be hired. If minorities get hired, then discrimination wi..
A triangle with base 1 m and height 3 m is submerged vertically in water so that the tip is even with the surface. Express the hydrostatic force against one side of the plate as an integral and evaluate it. (Give your answer correct to the nearest..
In an election between two candidates, 570 votes were cast. If the winner received 230 more votes than the loser, how many votes did the loser receive?
Find the integral. Complete the square if necessary. ∫(2x-3)/sqrrt(4x-x^2)dx. I am mainly unsure about what to do with the numeratir, (2x-3) Thanks.
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