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If you have 60 meters of fencing and want to enclose a rectangular area up against a long, straight wall, what is the largest area you can enclose?
Failures per day for a computer network follow the Poisson distribution with mean 0.3. What is the probability that two or more failures occur in
A copier that originally cost $300 was sold on the installment plan as $28 per month for 12 months. Find the installment price if no down payment was made. Find the finance charge.
Each of the numbers 0 through 24 is written on a piece of paper and all of the pieces of paper are placed in a hat. One number is selected at random. Determine the probability that the number selected is even.
Prove that if f is a differentiable function with f´(x) > 1 for all x, then there is at most one c such that f(c) = c. [Use the Mean Value Theorem]
Three forces with magnitudes of 70 pounds, 40 pounds, and 60 pounds act on an object at angles of -30 degrees, 45 degrees, and 135 degrees, respectively, with the positive x-axis. Find the direction and magnitude of the resultant of these forces.
Assume f is continuous on the interval (a,b) that contains x0 and f(x0)>0. Show there is an open interval J that contains x0 and m>0 such that f(x)>=m for each x in J.
You are told that a line is tangent to the circle centred at (3,2) with radius 2. If the tangent line and circle intersect at the point (4, 2+ sqrt(3)) find the equation of the tangent.
A company produces very unusual CD's for which the variable cost is $12 per CD and the fixed costs are $25,000. They will sell the CD's for $98 each. Let x be the number of CD's produced.
A cyclic group is a special kind of group that has many similarities with modular arithmetic.
Multiply and simplify the given expression - Multiply and simplify: (2x 3 + 3) (5x - 6 + x 2 )
The points on a plane: A(-3;2) and B(1.5;-3) are included in a parallel right to another one which crosses point at P(-2;-4). The equation of this last right
Transform each equation to standard form. Then find the center, foci, major and minor axes, and ends of each latus rectum. Draw the curve
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