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It usually takes John 3 hours longer to do the monthly payroll than it takes Peter. They start working on it together at 9am and at 5pm, they have 85% of it done. If John took a 2-hour lunch break while Peter had no lunch, then how much longer will it take for them to finish the payroll working together?
Using minimax regret criterion, what decision should be made by the decision maker?
Find the equation of parabola from the given data - Determine the equation of a parabola with vertex
You have 80 yards of fencing to enclose a rectangular region. Find the dimensions of the rectangle that maximize the enclosed area. What is the maximum area?
Find derivatives of the following functions using differentiation rules:
The average time taken to produce a part at Factory A is 10 minutes. Given this, find the following probabilities. The probability that at least three minutes is taken
Show that this theorem 1 is sharp, that is, show that for infinitely many n>=3 there are non-hamiltonian graphs G of order n such that degu+degv>=n-1 for all distinct nonadjacent u and v.
A recipe uses two eggs, three cups of flour & some other ingredients. The recipe makes enough batter for 6 servings. How many cups of flour will be needed to make enough batter for ten servings?
Find the sum/difference as a product of sine’s or cosines.
Two balls are drawn (without replacement) from an urn that contains four red balls, five green balls, and seven white balls
Find the derivative of f(x)= (3-4x^2)/(x^2-x-6) and then determine intervals of increase/decrease,local max and min values and points of concavity and inflection.
Linear Fractional Transformation is a Mapping f: C --> C A fixed point of a transformation is a point z_0 so that f(z_0) = z_0. Show that every linear fractional transformation
Solve the given integral by the method of partial fractions: (S stands for the integration sign) S sec^2(x) / (tan^3(x) - tan^2(x)) dx
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