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A rancher with 700 ft of fencing wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle
(a) Find a function that models the total area of the four pens. (Use w to represent the width of the field, and write the function A in terms of w.)
(b) Find the largest possible total area of the four pens.
Use the limit comparison test to determine if this series converges or diverges.
Suppose I had a lemonade stand. When I charge $1, I sold 50 cups, when I raised the price to $2, I only sold 25 cups. Write an equation for the number of cups I sold as a function of the price i charged.
In a triangle ABC, if r 1 is the exradius of the excircle opposite to A, r 2 is the exradius of the excircle opposite to B and r 3 is the exradius of the excircle opposite to C
Find the product of all the three zero of the second polynomial
You are given a list of n names (all of the names are distinct) with instructions to put them in alphabetical order. How many comparisons are necessary to accomplish your task?
What is the probability of getting at least 1 diamond in a 5-card hand dealt from a standard 52-card deck? 2. In a family with 3 children, excluding multiple births, what is the probability of having 2 boys and 1 girl, in any order? Assume that a b..
Explain the importance of Euclid's parallel postulate in the development of hyperbolic and spherical geometry.
A consumer information magazine estimates that the real juice content of several drinks sold as snack drinks for children was 79.5% in 1999, compared to 86.25% in 1998.
Calculate probabilites of gettin from 0 to 5 clubs on a hand. What is the probabilty of gettin 2 or fewer cubs of 5 cards?
Given lim as x approaches 0- f(x) = Ll , lim as x approaches 0+ f(x) = Lr , and Ll ≠ Lr, which of the following statements is true?
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
Discuss the Weierstrass Approximation Theorem. When would you use this theorem? Are there other options for solving these types of problems besides the Weierstrass Approximation Theorem?
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