Homework Answers

Given a sequence ((xn,yn)) is R2 .prove that if ((xn,yn)) is bounded ,then (xn) and (yn) are bounded.

Solve each of the following problems. Follow Polya's four stages of problem solving in your solution.

3. A palindromic number or numeral palindrome is a "symmetrical" number like 16461, which remains the same when its digits are reversed. The term palindromic is derived from palindrome, which refers to a word like rotor that remains unchanged under reversal of its letters. How many palindromes are there between 0 and 1000?

4. Matt is half as old as James will be when Matt is twice as old as James is now. In five years, the sum of Matt's and James' ages will be 100. How old are Matt and James now?

5. Find the digit 120 places to the right of the decimal point in the decimal representation of 9/13

Solve each of the following problems. Follow Polya's four stages of problem solving in your solution.

1. An egg vendor broke all the eggs that he was delivering to a local store. He could not remember how many eggs there were in all. However, he did remember that when he tried to pack them into packages of 2, 3, 4, 5, and 6 he had one left over each time. When he packed them into packages of 7, he had another left over. What is the smallest number of eggs he could have had in the shipment?

2. Edwin has 100 baseball cards. He wants to place the cards in three stacks so that the second stack has twice as many cards as the first, and the third stack has twice as many cards as the second. How many cards will be in each stack? How many will be left over?

Two cards are drawn at random from a set of 52 cards.What is the probability that the both cards are either kings or queens

'Bhartdarshan’ is an Internet-based travel agency wherein customers can see videos of the

cities they plan to visit. The number of hits daily is a normally distributed random variable

with a mean of 10,000 and a standard deviation of 2,400.

a. What is the probability of getting more than 12,000 hits?