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Differentiate the functions.
1. y = (square root cos (square root x))
2. y = (sin x - cos x)^2
Find dy/dx.
1. x = sec t^7
2. x = (sec 2t)^7
3. x = cot (sec 7t)
Maximizing the Sustainable Yield, A lake has a carrying capacity of 10,000 fish. At the current level of fishing, 2000 fish per year are taken and the fish population seems to hold fairly steady at about 4000.
What percentage change in the required sample size would this produce?
Calculate the Standard Deviation of your data, Your ability to describe a normal distribution as evidenced by a bell shaped curve. Your ability to describe the information provided by the Standard Deviation.
Standard normal probabilities. According to an article in The New York Times, 19.3% of New York City adults smoked in 2003. Suppose that a survey is conducted this year.
Question about Probability and combinations, There are 5 rotten plums in a crate of 25 plums. How many samples of 4 of the 25 plums contain
The Complement A of an r-subset A of {1,2...,n} is the (n-r)-subset of {1,2,...,n} consisting of all those elements that do not belong to A. Let M= C(n,r), the number of r subsets and at the same time the number of (n-r)
Factoring is the problem of computing, on input a positive integer n, a factorization of n in terms of prime powers
Economics : Equations, Quantity and Profit, A company manufacturers and sells a product. The estimated demand and cost functions are as below
The parabola y= x^2+4 has two tangents which pass through the point (0,-2). One is tangent to the parabola at (a, a^2+4) and the other at (-a, a^2+4) where a is a certain positive number. The question is a=?
How many different four-digit numbers can be formed from the digits 0 through 9 if the first digit must be even and cannot be zero?
Probability of guessing four correct out 20 multiple choices, If a student randomly guesses at 20 multiple-choice questions, what is the probability that the student gets exactly four correct?
Probability of creating a mini license plate with an R. A mini license plate for a toy car must consist of a letter followed by two numbers. Each letter must be an R, U or N. Each number must be a 2 or 6
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