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A rectangular storage unit has dimensions 1 m by 2 m by 3 m. If each linear dimension is increased by the same amount
a) what increase would create a new storage unit with a volume 10 times the original
b) how many solutions are there to this problem? please explain why?
Please explain the steps and solution. Find an equation of the line tangent to the curve defined by the equation at the specified point:
Convex Sets and Linear Transformations, Prove that the following sets are convex, where E stands for the sum symbol:
Calculating the probability from a given situation using combinations. A bag contains 6 cherry, 3 orange, and 2 lemon candies. You reach in and take 3 pieces of candy at random.
The arrival rate for a certain waiting line system obeys a Poisson distribution with a mean of 05. unit per period. It is required that the probability of one or more units in the system not exceed 0.20.
Let f:R->R be a function that satisfies f(x+y) = f(x)+f(y) for all x,y in R. Suppose that f is continuous on R and that f(1)=k. Prove that f(x)=kx for all x in R.
Systems of equations can be solved by graphing or by using substitution or elimination. What are the pros and cons of each method? What circumstances would cause you to use a different method?
Find the area of the region enclosed by one loop of the curve. Find the exact length of the polar curve.
Evaluate the Area enclosed by the first quadrant and the circle using integration
The input consists of two arrays each representing a set of integers (in each array, each value appears only once). The output is an array representing the union of the two sets - again, each value appears only once.
A matrix A is said to be skew-symmetric if A^T = -A. Show that any square matrix can be represented as a sum of a symmetric matrix and a skew-symmetric matrix.
How would I solve the characteristic equation for B and show that the eigenvalues are 0, 2 and 4? For each eigenvalue, how would I find a corresponding eigenvector?
Consider a seven-game world series between team A and B, where for each game, what is the most likely number of games to be played in the series for p=0.6?
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