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At what time has the amplitude of oscillation of a spring-mass system with negligible friction decayed to 1/e of its original value? Does this time depend in a reasonable way on k, m, and c?
A car goes from station A to station B with a speed of 80 km/h and returns from B to A with a speed of 120 km/h. Find its average speed during the whole journey.
Explain the difference between the solution sets when a compound inequality contains the word "and" versus when the inequality contains the word "or".
Let X and Y have joint density fXY (x; y) = c(x + y)^2 for 0≤ x ≤1; 0≤y≤1.
Given a rational function, identify a method which can be used to determine if there is a vertical asymptote.
The diameters of Douglas firs grown at a Christmas Tree Farm are normally distributed with a mean of 4 inches and a standard deviation of 1.5 inches. What proportion of the trees are expected to have diameters greater than 5 inches?
The price function for selling Squinks is p = 165 - 6x. Sales are 36 per day and dropping at 5 per day. How quickly is revenue changing?
A woman on the top of a 448 foot high building spots a small plane. As she views the plane, its angle of elevation is 62 degrees.
The price function for selling Squinks is p = 180 - 7x. Sales are 38 per day and dropping at 5 per day. How quickly is revenue changing?
How many hours of production time will be scheduled in each department?
What is the expected value of the coin selected (in cents)?
The problem that I'm having is that there is a nonconstant factor of (x^2+y^2+z^2)^(-1/2) appearing on the RHS of this equation, making it non-trivial to solve.
Let V be a finite-dimensional real (i.e. F = R) vector space. Let T be an element of L(V)(set of operators on V), and assume that T^2 = 0.
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