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Show that the real numbers has the Dedekind property: If R is partitioned into two sets L and U such that each element of L is less than each element of U, then L has a greatest element or U has a least element.
a company car has a seating capacity of 8 is to be used by 8 employees who have formed a car pool. if only 3 of theses employees can drive, how many possible seating arrangements are there for the group?
Find an open interval about x_o on which the inequality lf(x)-Ll 0 such that for all x satisfying 0
A 6.00 in radius cylindrical rod is 2 ft long. Use a differential to approximate how much nickel (in in^3) is needed to coat the entire rod with the thickness of .12 in.
Show that the limit of x(t) as x-> infinity is finite, i.e., the boat will travel a finite amount of distance after its motor quits. What is the maximum distance the boat will travel after its motor quits?
Plot the value of each strategy over time for a single interaction of the simulation. What is the total value of each strategy after six years? Do either of the strategies reach the target?
There were 67 fewer student tickets sold than adult tickets. How many adult tickets were sold?
Evaluate the exponential equation for three positive values of x, three negative values of x, and at x=0. Transform the second expression into the equivalent logarithmic equation;
The perimeter of a rectangle is twice the length plus twice the width. The area of a rectangle is the product of its length and width. Suppose we let l represent the length and w represent the width of a rectangle.
A 112 ft tower is located on the side of a mountain that is inclined 20° to the horizontal. A guy wire is to be attached to the top of the tower and anchored at a point 72 ft downhill from the base of the tower. Find the shortest length of wire ne..
X=4 Draw a card from a deck, observe the card, and replace the card within the deck. Count the number of times you draw a card in this manner until you observe a jack.
Consider the following three vectors in R^3: Verify that {x_1, x_2, x_3} are orthogonal with the standard inner product in R^4
The half-life of radioactive radium is 1620 years. Suppose that a sample of this substance has 300 mg. Determine the time T it will take for the sample to decay to a mass of 200 mg.
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