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Ryan Arts manufactures two types of picture frames--let's call them typeX and typeY. Each typeX frame requires 2 hours of labor and 1 unit of material to make, and each typeY frame requires 1 hour of labor and 2 units of material to make. During the upcoming week the company has 4000 hours of labor and 5000 units of material available. Naturally, during the upcoming week Ryan cannot use more labor or more material than he has available--but he could use less. Write two expressions--one for labor and one for materials--that can be used to model the labor and materials constraints for the upcoming week.
a 25 foot rope is used to keep a boat 18 feet away from a dock. The rope connects to the boat at the level of the water. What is the angle formed between the rope and the level of the water
Evaluate the sequence generated by generating functions
Suppose A & B are Hermitian matrices and AB=BA, show that A and B are simultaneously diagonalizable, ie, there exists an unitary matrix C so that both C*AC adn C*BC are diagonal.
What is a complex fraction? What are the two ways to simplify a complex fraction? Show an example. What is the least common denominator? How do we use the least common denominator when adding rational expressions?
Perform an appropriate hypothesis test, showing the necessary calculations and/or explaining the process used to obtain the results.
The mean PCB concentration for fish the lake exceeds 5 ppb
The line of action of the 4800-lb force F runs throughthe points A and B as shown in the figure. Determinethe x and y scalar components of F.
Heat Equation Problem, Find the solution u(x,t) of the heat equation: with initial data u(x,0) = x
a rancher wants to use 300 feet of fencing to enclose a rectangular area of 4400 square feet. what dimensions should the rectangle have?
Determine the probability on rating
A very small spherical particle (on the order of 5 microns in diameter) is projected into still air with an initial velocity of ν0 m/sec, but its velocity decreases because of drag forces.
The plane y + z = 3 intersects the cylinder x^2 + y^2 = 5 in an ellipse. Find the parametric equations for the tangent line to this ellipse at the point (1,2,1)
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