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Find the volume of the solid in the first octant bounded by the surfaces of z = 1 - y^2, y = 2, and x = 3.
Probability. A grab bag contains 10 $1 prizes, 7 $5 prizes, and 5 $20 prizes. Three prizes are chosen at random. Find the following probabilities.
Sketch the region bounded by the graph of the functions and find the area of the region.
Suppose G is a finite group with the property that every non-identity element has prime order (D3 and D5 are examples of groups with this property).
Find the inverse of the matrix.
Find the distance from the origin to the line passing through the point P(3,1,5) and having the direction vector v=2i-j+k.
Provide probability distribution, histogram, and find the expected value of a coin that is tossed 3 times
Let R be the elliptical region in the first quadrant bounded by x^2/3^2 +y^2/2^2 =1. Use the change of variables, x =3u , y =2v , to evaluate the area of R .
Find two numbers whose product is 192 and the sum of the first plus three times the second is a minimum.
Solving problems on permutation and combination
Calculate the mode
Calculate the value of the sample test statistic
What similarities and differences do you see between functions and linear equations? Are all linear equations functions? Is there an instance when a linear equation is not a function?
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