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Let G = RxR (R is the real numbers) with addition (x,y) + (x', y') = (x+x', y+y'). Let H be the line y=mx through the origin: H = {(x,mx)such that x belongs to R (R is real numbers). Show that H is a subgroup of G and describe the cosets H + (a,b) geometrically.
Evaluate the maximum revenue using cost and revenue function.
Calculate the z or t value of the sample test statistic
Perform the indicated operation - Find the product. (x 3 - 5x 2 -1) 7x 2
Now choose a linear inequality of the form 5y 2x - 8. What are the major differences between the linear equation graph and the linear inequality graph?
Determine the distances from A to B and from C to B. Show all work to receive full credit. Round to the nearest hundredths.
The slope of tangent line
A firm has two fixed resources that impose limits on its production activities. For a particular period of time it has 30 hours of resource 1 available and 80 hours of resource 2.
Maximizing the Sustainable Yield, A lake has a carrying capacity of 10,000 fish. At the current level of fishing, 2000 fish per year are taken and the fish population seems to hold fairly steady at about 4000.
Descriptive statistics
Prove that the element K=k1+k2+....km is the center of the group ring R[G]. Let K1,....Kr be the conjugacy classes of G and for each Ki let Ki be the element of R[G] that is the sum of the members of Ki.
Give an example of an exponential function. Find this exponential function's inverse, which will be a logarithmic function. Plot the graph of both the functions.
Solve the problem on discrete distribution.
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