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1. Show that (pi)^2 is irrational (I mean pi to the 2nd)
2. Write 12.999 as a fraction.
3. Explain why the ratio of 2 integers must always be a repeating decimal?
4. Suppose that you have a set, if you remove some things from the set, will the remaining things always contain fewer items in it than the original set ?if so why? if not show with a proof.
Evaluate the equation of the standard rectangular hyperbola and equation of the tangent and normal at a point to rectangular Hyperbola
What two variables have the strongest positive strength of relationship?
Acme can produce DVD players at a cost of $140 each and market analysis estimates that if the players are sold at x dollars apiece, consumers in a region will buy approximately 2000e^-0.01x machines per week.
Suppose V is a complex inner product space and T: V --> V a linear operator. Use the results from parts (a) and (b) to show V = im(T) + ker (T*) = im(T*) + ker(T).
Let F(u,v) be a function of two variables. Find f '(x) for each of the following. Use F_u and F_v for F_u and F_v
Determine value of money after time 't' by compound interest method - How much money will be in the account in 10 years?
Find the probability of making a Type II error.
When you subtract one number from another, the answer is always less than both of the numbers in the subtraction problem. Support or disprove this statement with examples.
Let a be the permutation (1 2 3) in A_4. What is the order of the element (3, 7, a) in the group U(10) direct product Z_42 direct product A_4.
Please evaluate the following integral using the formula for integration by parts,
Two angles are complementary of each other. Twice one angle is equal to the other angle plus the product of three and five. Set up a system of linear equations to represent the two angles.
Probability for Poisson Random Variable, During summer weekdays, boats arrive at the inlet drawbridge according to the Poisson distribution at a rate of 3 per hour
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