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Question: Find the length of the parametric curves.
1. x = 3 + 5t, y = 1 + 4t for 1 ≤ t ≤ 2. Explain why your answer is reasonable.
2. x = cos(et), y = sin(et) for 0 ≤ t ≤ 1. Explain why your answer is reasonable.
Conditional Probability explained in this answer, A lotttery game has balls number 1 - 21. What is the probability of selecting an even numbered ball or a 10?
If the statement you want to prove is made in terms of n, should your inductive step be done using n or using k (or some other variable)?
You pay $6 to play a game where you will roll a die, with a payoff as follows: $8 for a 6, $7 for a 5, and $4 for any other result. What are your expected winnings? Is the game fair?
A student takes out two loans totaling $13,000to help pay for college expenses. One loan is at5% simple interest, and the other is at10% simple interest. The first-year interest is $850. Find the amount of the loan at 10%
in a city in italy 30 of the families have a mastercard 20 have an american express card and 25 have a visa card. eight
one cell phone company charges 0.10 per minute with no activation fee. another cell phone service charges 0.05 per
Describe a Θ(n log n)-time algorithm that, given a set S of n integers and another integer x, determines whether or not there exist two elements in S whose sum is exactly x.
How many dozen of each shirt can this company produce in one week assuming that the machines are used to maximum capacity?
Following completion of your readings, answer the following two questions from "Chapter 12 Supplement" of Mathematics in Our World.
What is the speed of the water in the river, and what is the speed of the boat relative to the water?
How do you solve for the conditional probability of a false positive for a cancer test?, An experimental test to detect a particular type of cancer indicates the presence of cancer in 90% of individuals known to have this type of cancer, and in 15..
In the early months of 2010, Twitter added 0.3 million new accounts every day. At this rate, how many days would be needed to add 15 million new Twitter accounts? (Source: Twitter.)
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