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Question: (a) Prove that for any integer n ≥ 1, any set of n positive real numbers has a smallest element.
(b) Prove that the result of (a) is not true for infinite sets of positive real numbers in general but that it is true for some infinite sets.
(c) What is the name of the principle which asserts that any nonempty set of natural numbers has a smallest element?
Estimate the length of the front wall, the area of the ceiling and the volume of the room.
Do you think the current tax system in the United States is too progressive, about right, or not progressive enough? How much do you think different income groups should pay in taxes?
assume that for a period of time long-term corporate bonds had an average return of 8.0 percent with a standard
Approximate the value of log2 9. Explain how to figure out 3
Find the exact length of the curve defined by y=2[(sqrt(x))^(3)]-1=2x^(3/2)-1 from x=0 to x=2. Set up the integral, use the substitution method( reverse chain rule),
Find a general solution to the differential equation.
Her half indicates that to find the treasure, one must get to Castle Rock, walk x paces to the north, and then walk 2x + 4 paces to the east. If they share their information, then they can find x and save a lot of digging.
How much variation does knowledge of Age Score account for in Competence Scores?
Find an equation of the tangent plane to the parametric surface x=-2rcos(theta), y=-3rsin(theta), z=r at the point (-2sqrt(2),-3sqrt(2),2) where r=2, theta=pi/4
Repair-It charges $60 for a service call plus $25 per hour to repair the appliance. Let h represent the number of hours and C represent the total cost for the repair. Write an equation to find the total cost of the bill to fix your appliance after..
where k is a constant depending on the resisting force due to air friction. Find v as a function of the time t.
(a) What is the average yearly rate of change of carbon-14 during the first 5000 years? (Round your answer to six decimal places.) g/yr (b) How many grams of carbon-14 would you expect to find remaining after 2005 years? (Round your answer to two de..
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