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How many 3-letter code words are possible using the first 10 letters of the alphabet if a) no letter can repeated, b) letters can be repeated, c) adjacent letters cannot be the same?
Let V be the set of functions having the set of real numbers as domain whose graphs pass through the point:
What similarities and differences do you see between functions and linear equations? Are all linear equations functions? Is there an instance when a linear equation is not a function?
Sketch the graph of the given function and evaluate the height of the cliff from the word 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.
The probability that a basketball player will make a 3 point basket is 3/5. If he tries two 3 point shots
The equation x - 3 ln x = 2 has exactly two solutions A and B, with 0
Series convergence - Prove, using the definition, that the following sequence converger
Show that if @:R -> S is a ring homomorphism, then the ker(@) is an ideal of R and that @ is injective if.
Find the derivative of the function.
Angular speed and linear speed - A bicycle wheel with a 26 inch radius is spinning at a rate of 4 revolutions per second.
Solve the system of equation by matrix method - Use augmented matrices to solve the following 2 x 2 systems of equations.
A football is thrown downward from a window in a tall building. Its position at time t in seconds is s=16t^2+32t, where s is in feet. How long to the nearest tenth will it take the ball to fall 175 feet?
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