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Find the mass of a wire formed by the intersection of the sphere x^2 + y^2 + z^2 = 1 and the plane x + z=0 if the density of a wire is x^2?
ased upon statistical studies it has been found that 3.32% of all births in the United States will result in twins being born. If 17,300 births are selected at random what is the probability that: Find the Probability of Twin Births
Amy plans to paint both sides of a fence whose base is in the xy-plane and is given by the points (x,y) where x = 30cos^3(t) and y = 30sin^3(t) for 0
Augmented matrices to solve the word problem
A volcano fills the volume between the graphs z=0 and z=1(x2+y2)10, and outside the cylinder x2+y2=1. Find the volume of this volcano.
Suppose that the weight (in pounds) of an airplane is a linear function of the total amount of fuel (in gallons) in its tank. When graphed, the function gives a line with a slope of 6.4.
By contracting an edge e = uv, we mean removing e and identifying the vertices u and v as a single new vertex. Let num_T(G) denote the number of spanning trees of the graph G.
Until recently, with the advent of cellular phones, modems, and pagers, the area codes in the United States and Canada followed a certain system
Using the definition of big-O, show that 2n element of O(6*n^2). Using the definition of big-O, show that 6n^2 not element of O(2n)
Transform the equation to standard form and find the center and radius of the circle:
The market has an expected return of 12% and the risk-free rate is 4%. What is the alpha for the fad followers?
Give five interesting facts about group theory (or tensor calculus). Each one need only be 1 to just a few sentences - please list separately and under each fact provide any links to websites or pictures etc.
If a ball is thrown into the air with a velocity of 40ft/s, its height in feet after "t" seconds is given by y = 40t-16t^2. a) Find the average velocity for the time period beginning when t=2 and lasting
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