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Let Q=(0,7) and R=(10,11) be given points in the plane. We want to find the point P=(x,0) on the x-axis such that the sum of distances PQ+PR.
Show graphs (shaded regions) in the w-plane and identify the images of the half-lines x=1 (y=0) and y=0 (x=1).
Compute the dual prices for given constraints.The initial probability of success was 1 in 3 or .333. Now the contestant is down to two doors
Improvement in the value of the optimal solution per unit increase in right hand side, a dual price cannot be negative
Linear Programming using the graphical method.Solve the following linear programming problem using the graphical solution procedure:
Polar coordinates of a particular point are r=4, 0=pi/3. I need to ind the rectangular coordinates of the point.
X and y represents rectangular coordinates. What is the given equation using polar coordinates (r, theta). x^2 = 4y
Find the volume of the solid formed by revolving the region bounded by the graphs of y=2(x^2), x=0 and y=2 about the y-axis.
Use the Monotonocity Theorem to determine where the given function is concave up and where it is concave down.
Let A be the area of a circle of radius r that is changing w/ respect to time. if dr/dt is a constant, is dA/dt a constant, explain.
The minimization of cost or maximization of profit is the a. objective of a business b. constraint of operations management
Classify the behavior at infinity (analytic, pole, zero, or essential singularity; if a zero or pole, give its order) of the following functions.
Let f be continuous on the closed interval [a,b] and differentiable on the open interval (a,b).
What are some examples of personal or professional decisions where constrained optimization might be applied?
Draw the process flow diagram, and determine the product mix for the current system of production.
Find the total area enclosed by the graph of the polar equation r = 1 + cos2T. Express the polar equation r^2 = 2cos2T in rectangular form.
A rectangular storage unit has dimensions 1 m by 2 m by 3 m. If each linear dimension is increased by the same amount.
Let X be a normed space and x, y ? X . Show that if f(x) + f(y) for every bounded linear functional f on X , then x = y.
Determine the time at which the amplitude of the resultant vibration, x1 + x2, first reaches a value of 2.
Using the Simplex Method.Consider the following maximum problem in standard form:
Determine the absolute minimum of the function f(x) = x^3 - 3x - 1 on the interval [0, 4]. Make sure to show all work that is involved.
How much does the tree grow between the fourth and ninth years?
Linear programming problem:Optimal product mix.Develop the objective function and constraints required for the problem
Sketch the region bounded by the graph of the functions and find the area of the region.
Find an equation of the ellipse with the center (0,0) , vertical major axis 14 and minor axis 10.