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By pigeonhole principle, show that if any five numbers from 1 to 8 are chosen, then two of them will add upto 9. Answer: Let make four groups of two numbers from 1 to 8 like
Twins Olivia and Chelsea and their friend Rylee were celebrating their fourteenth birthdays with a party at the beach. The first fun activity was water games. As Nicole arrived, sh
using the g.e matrix, how can you turn an unattractive product to be attractive
Four-year-old Mariamma was reciting number names - some of them in order, and others randomly. The child's aunt, sitting nearby, asked her, "Can you write 'two'?" She said she coul
what is the Laplace transform of e^9(-t)^a)
Find the area of a circle along with a radius of 6 inches. The formula for the area of a circle is A = πr 2 . Use 3.14 for π. Substitute 6 for r in the formula A = πr 2 and solve
Verify Liouville''s formula for y^ prime prime prime -y^ prime prime - y'' + y = 0 in [0, 1]
What is Angles? An angle is made up of two rays with a common endpoint, which is called the vertex. The sides of the angle are rays. An angle is denoted by "θ". When two li
Monotonic, Upper bound and lower bound Given any sequence {a n } we have the following terminology: 1. We call or denote the sequence increasing if a n n+1 for every n.
David invests $17,000 into an account and at the end of 7 years, his account has a balance of $ 26,417.77. What is the interest rate (assuming annual compounding)?
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