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Find the volume of a frustum of a pyramid with square base of side 30, square top of side 15 and height 10.
Automorphism of a Group, Let G be a group, T an automorphism of G, N a normal subgroup of G. Prove that (N)T is a normal subgroup of G.
Compute the mean and variance for binomial distribution. Calculate the mean and standard deviation (by hand) for the binomial distribution with the probability of a success being 1/4, 1/2, 3/4.
Description of Directional Derivative and how the dot product can be used to justify that the gradient points in the direction of maximum of a function.
The Friendly Sausage Factory (FSF) can produce hot dogs at a rate of 5,000 per day. FSF suppies hot dogs to local restaurants at a steady rate of 250 per day.
The book value of a machine is $21,000 at the end of its fourth year of life and $14,000 at the end of its sixth year of life. What was the purchase value of the machine, assuming that "straight line depreciation" is being used.
Let R ba a partial order on S, and suppose that x is a unique minimal element in S. Prove that S is finite, then xRy for all s in S
Dividing the given fraction and then check by multiplying - Simplify into a single polynomial
Define an intercept in a parabolic graph. What are the number(s) of intercepts a quadratic graph may have? Explain your answer/ diagram etc. How do you compute the intercepts in a quadratic function?
The number of surfer's special burritos served was sampled during a dinner period 5:00 p.m. - 8:30 p.m. at a taco shop on a weekday. Below is the sample:
Consider the following three vectors in R^3: Verify that {x_1, x_2, x_3} are orthogonal with the standard inner product in R^4
The format for the final answer should be similar to this one: if the problem is tan^(-1) * (2i). answer: (n + 1/2)*pi + (i/2) * ln(3) , (n =0, +-1, +-2,...)
A package contains 9 candy canes, 6 of which are cracked. If 2 are selected, find the probability of getting no cracked candy canes.
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