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Find the solution of the initial value problem
y'-2/t(y)= 2t^2e^(2(t-1), t>0, y(1)=3
Consider the function f(x,y,z)= e^xy cos(x+z). What is the directional derivative for f at the point P(0, -pie/6, pie/3) in the direction u parallel to i - j + 2k
Find three positive numbers whose sum is 54 and whose product is as large as possible and find the interior and boundary points only at which the absolute extrema of f(x, y) can occur.
Reduce the equation to one of the standard forms, classify the surface, and sketch it.
Compute the inverse of matrix A below, and use this to express A as a product of elementary matrices
Find a definite integral that represents the arc length of the curve over the indicated interval and observe that the length cannot be evaluated with the techniques studied so far
Uniform Distribution and a 20-Sided Die, In this problem there are two ways to solve one is the largest way counting every pair of the outcome and the other is the smallest, using CDF.
Manufacturer of mp3 players is preparing to set the price on a new model and demand is thought to depend on the price and is represented by the model
Probability density function sample question, Let E be the event that the number which comes up when a single die is tossed is divisible by 3. Let X be the number of times that event E occurs in 3 tosses of the die
The number of assists per match for the setter on your school's volleyball team has a mean of 58 and a standard deviation of 7. If in the last game he made 77 assists, how many standard deviations is that from the mean?
The hypothesized developmental differences
A significant amount of improvement took place
A study showed that there are 17 vehicles for every 10 households. how many vehicles are there for 106 million households?
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