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1) Find a relation R on a set S that is neither Symmetric nor antisymmetric
2) Let S be a set containing exactly n elements. How many antisymmetric relations on S are there.
3) give a recursive definition of X^n for any positive integer n
4) give a recursive definition of the nth odd positive integer
5) Let g: Z -> Z be defined by g(x)= ax + b, where Z denotes the set of integers and a,b E Z with a not equal 0
a) prove that g is one-to-one
b) what must be true about a and b if g is onto?
6) let S be a set of people. For x, y E S, define xRy to mean that x = y or x is a decendant of y. Prove that R is a partial order on S
In Atlantic City, Nick played the slot machines for 12 h. He lost $45 an hour. Use real numbers to represent the change in Nick's financial status at the end of 12 h. Compose a note explaining how you arrived at the solution. What difficulties (if..
Calculate the age of a bone fossil
Consider the function f(x, y) = 4√(x2 + y2). Find the gradient vector of the function at the point (1, 1). Find the equation of the tangent plane at the point (1, 1)
Write an equation in standard form for the line passing through the pair of points. Please show work. Decide whether the pair of lines is parallel, perpendicular, or neither.
Find the accumulate value in total
consider the following system of equations. y8x-8 y-8x3 what can you conclude about the system of equations? athe
Prove that the Cayley digraph given in does not have a Hamiltonian circuit. Does it have a Hamiltonian path - problem using a valid method of proof or verification using mathematical reasoning.
The profit function for the Recklus Hang gliding Service is P(x) = -0.4x^2 + fx - m, where f represents the set up fee for a customer's daily excursion and m represents the monthly hanger rental.
Equation in single variable
victoria has some money from her birthday and the amount is modeled by the function hx 200. she read about a bank that
Use compound interest to find the amount.
Find the mode for the amount of cash withdrawn from this particular ATM machine during the month. Find the median amount of cash withdrawn from this ATM machine during the month. Find the mean amount of cash withdrawn from this ATM machine during the..
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