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Given the function R(x) = X^2 + x -12 / X^2 - 4
1. Give the domain
2. Give the X - intercepts
3. Give the Y - intercepts
4. Does it have symmetry with respect to the Y-axis, the origin or neither?
5. Give the vertical asymptotes
6. Give the horizontal asymptotes
7. Graph the function by dividing the axis and tell if the graph is above or below the axis for it's intervals.
Can the researcher’s claim that their drug was successful and describe your answer.
What is the maximum number of multiplications required to solve a system of n equations with n unknowns using Gaussian Elimination and write a procedure to obtain the inverse of an n by n matrix usingGaussian elimination.
Let N be a positive integer. Let d be an integer relatively prime to phi(N) (phi denotes the euler totient function). Prove that there exists a d' in Z (=integers) with dd'=1 mod phi(N).
The credit remaining on a phone card is a linear function of the total calling time. The function gives a line with a slope of -.32, when graphed.
Calculate the smallest sample size required to estimate the population mean under the following specifications:
Probability & Statistics : Outcome of Dice Rolls, Two people play a game. A single die is thrown. If the outcome is a 2 or a 3, then player A pays player B $6.00.
Fitting of simple linear regression
Independent measures research study.
Find the average value of the function in the given region. The average value of f(x)=1/x over [1,10] is______.
Matrice operations solve the problem
A nontrivial graph G is called prime if G = G_1 x G_2 implies that G_1 or G_2 is trivial. Show that if a connected graph G has a vertex which is not in a cycle of length four, then G is prime.
Let F be a forest. Add a vertex x to F and join x to each vertex of odd degree in F. Prove that the graph obtained in this way is randomly Eulerian from x
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