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The top of a square desk with vertices at (0,0), (2a,0), (2a,2a) and (0,2a) is to be considered as a lamina of non uniform density p=k(x+2y) where k is a constant.
Find the mass of the lamina and the coordinates of the centre of mass.
Which of the following statements is true regarding the F - distribution?
Find the probability that a randomly selected teacher makes less than USD 40156 a year? Round your final answer as a percent rounded to two decimal places.
A rancher has 60,000 linear feet of fencing and wants to enclose a rectangular field and then divide it into four equal pastures with three internal fences parallel to one of the rectangular sides. What is the maximum area of each pasture?
Find all Hamilton paths going from node A to node F, find the lengths of each of the Hamilton paths from node A to node F.
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?
Let n be a natural number, and let f: R-->R be the function f(x) :=x^n. Show that f is differentiable on R and f '(x)=nx^n-1 for all x belonging to R
Over the last ?fty years, mortgage rates have ?uctuated from a high of around $18 1/2 % in the early 1980s to a low of around $4 1/2 % last fall. What would the monthly payments be on a thirty-year $100,000 mortgage at each rate? What would the to..
Find the vertex.
A volcano fills the volume between the graphs z=0 and z=1/(x^2+y^2)^9 and outside the cylinder x^2+y^2=1. Find the volume of the volcano.
Suppose u and v are non-parallel unit vectors, a=u+sqrt(3)v and b=u-sqrt(3)v. If the angle theta between u and v are the same as that between a and b, find cos theta.
Supppose a baseball is thrown at 85 miles per hour.The ball will travel 320 ft when hit by a bat swung at 50 miles per hour and will travel 440 ft when hit by a bat swung at 80 miles per hour.
Use truth tables to prove that an implication is always equivalent to its contrapositive. Site an example where this is so. Use truth tables to prove that an implication may not be equivalent to its converse. Site an example where this is so.
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