![[2014 solutions]](http://s1.studyres.com/store/data/008843334_1-6541359c94dca59dbb1b50426f79633e-300x300.png)
[2014 solutions]
... B1. Find the area of the region in the XY plane consisting of all points in the set {(x, y)|x2 + y 2 ≤ 144 and sin(2x + 3y) ≤ 0}. Answer: The area of the circular region S = {(x, y)|x2 + y 2 ≤ 144} is 144π. The condition sin(2x + 3y) ≤ 0 is equivalent to 2x + 3y being in one of the intervals [kπ, ( ...
... B1. Find the area of the region in the XY plane consisting of all points in the set {(x, y)|x2 + y 2 ≤ 144 and sin(2x + 3y) ≤ 0}. Answer: The area of the circular region S = {(x, y)|x2 + y 2 ≤ 144} is 144π. The condition sin(2x + 3y) ≤ 0 is equivalent to 2x + 3y being in one of the intervals [kπ, ( ...
Altamont Pre-test - Weatherly Math Maniacs
... 10. How many positive two-digit numbers less than 40 have an odd number of divisors? 11. What is the sum of the numbers less than 35 that have exactly 8 factors? 12. How many positive integer divisors does 144 have? 13. The greatest common divisor of 60, 160, and 260 is a) 5 c) 20 b) 6 d) 60 14, Eve ...
... 10. How many positive two-digit numbers less than 40 have an odd number of divisors? 11. What is the sum of the numbers less than 35 that have exactly 8 factors? 12. How many positive integer divisors does 144 have? 13. The greatest common divisor of 60, 160, and 260 is a) 5 c) 20 b) 6 d) 60 14, Eve ...
(i) Suppose that n > 1 is a composite integer, with n = rs, say. Show
... There are n pairs of gloves. Imagine that each individual glove is labelled with an integer between 1 and n to indicate the pair to which it belongs. Then it follows from the Pigeonhole Principle that in any collection of n+1 individual gloves, at least two gloves must be labelled with the same inte ...
... There are n pairs of gloves. Imagine that each individual glove is labelled with an integer between 1 and n to indicate the pair to which it belongs. Then it follows from the Pigeonhole Principle that in any collection of n+1 individual gloves, at least two gloves must be labelled with the same inte ...
Additive Inverses
... • Add a positive integer by moving to the ___________on the number line • Add a negative integer by moving to the ________ on the number line • Subtract an integer by adding its opposite ...
... • Add a positive integer by moving to the ___________on the number line • Add a negative integer by moving to the ________ on the number line • Subtract an integer by adding its opposite ...
![arXiv:math/0008222v1 [math.CO] 30 Aug 2000](http://s1.studyres.com/store/data/015263483_1-3fbf9f2fcdc71976e9b3a5d7ef45a284-300x300.png)
