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All vector spaces are finite dimensional
1) Let X be a finite dimensional linear space. Show that, for every subspace Y of X, Y perp perp = Y (that is, the annihilator of the annihilator of Y is Y)
2) X = U = V = polynomials in s, T=d/ds, S=multiplication by s
Show that S and T are linear and ST is not equal to TS
Suppose the sales of a company are given by S(x) = $300x + $3,000 where x is measured in years and x = 0 corresponds to the year 2003. Find the predicted sales in the year 2006 assuming the trend continues.
Let K={1, v, h, 180} be a subset of the octic group G. Show that V= {1, v} is normal in K and that K is normal in G, but that V is not normal in G.
Find the LCM
Solve the given equation using absolute value function.
Find x,y using substitution method.
Find the flaw with the following "prof" that a^n = 1 for all non negative integers n, whenever a is a nonzero real number.
Solving the transformation of exponential model functions.
Find the amount of the house after 3 years
Some people say that the Difference of Two Squares formula helps to multiply large numbers without using a calculator. How would you use this formula to multiply 201 by 199? Find at least on more of numbers that can be multiplied this way.
Define variables and profit function
What would your answers be if we considered the open balls B∈(ζ) for different values of ∈? What if we also thought about the balls for the the d2 metric?
What is/are the independent variable(s)? What is/are the dependent variable(s)? What would be an appropriate null hypothesis? Alternate hypothesis
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