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Find the first and third quartiles, Q1 and Q3, of the following set of numbers.
340, 244, 108, 357, 250, 464, 288, 223, 313
Calculate the second-order partial derivatives.
Explain what makes a function a polynomial. Give an example of a function that is a polynomial and a function that is not a polynomial.
Students are classified according to eye color (blue, brown, green), gender (male, female), and major (chemistry, mathematics, physics, business). How many possible different classifications are there? Use a tree diagram.
About 35.9% of all charitable contributions are made to religious organizations. In 2003, about $86.4 billion was given to religious organizations. How much was given to charities in general?
Automorphism, Abelian Group and GCD, Let G be a finite Abelian group of order n, and let m be a positive integer with gcd(m,n)=1. Prove that φ:G-->G defined by φ
You are designing a rectangular poster to contain 48 in^2 of printing with a 3-in. margin at the top and bottom and a 1-in. margin at each side. What overall dimensions will minimize the amount of paper used?
A sample of 100 provided a sample mean of 75.7. The population standard deviation is known to be 12. At 0.01 level of significance, what is your conclusion? Use either the p-value approach on the critical value of approach.
Write the fraction. There are 100 centimeters in a meter. What fractional part of a meter does 7 centimeters represent?
Let vector r(t) = t i + t^2 j represent a plane curve. Find T(t), T(1) and N(1). Sketch the plane curve and graph the vectors T(1) and N(1) at the point t = 1.
How rapidly is the area enclosed by the ripple increasing when the radius is 5 feet?
Let M>0, and let f:[a,b]-->R be a function which is continuous on [a,b] and differentiable on (a,b), and such that |f'(x)|
The distance s that an object falls due to gravity varies jointly as the acceleration g due to gravity and the square of the time t of fall The acceleration due to gravity on the moon is 0.172 that on earth.
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