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Let P be a polyhedron with at least one extreme point. Is it possible to express an arbitrary element of P as a convex combination of its extreme points plus a nonnegative multiple of a single extreme ray?
Use polar coordinates to find the volume of the given solid. Bounded by the paraboloid z = 7 + 2x2 + 2y2 and the plane z = 13 in the first octant.
question two people start from the same point. one walks east at 8 kmhr while the other walks north at 6 kmhr. how fast
Write the definitions of the properties, reflexive, antisymmetric and transitive and the use the definitions to determine whether each property holds for this relation.
What square root property is essential to solve any radical equation involving square roots? Use an example.
Suppose you and three friends go to a local pizza parlor. On the menu is a "Make Your Own Pizza" with four ingredients to choose from; onions, sausage, mushrooms, and pepperoni. Your best friend is allergic to mushrooms. How many different varieti..
Compute the derivative of the function using the difference quotient and find the equation of the line that is tangent to its curve for x=c
During the first part of a trip,a canoeist travels 41 miles at a certain speed. The canoeist travels 4 miles on the second part of the trip at a speed 5mph slower. The total time for the trip is 5 hours. What was the speed on each part of the trip..
If a roll of paper with inner radius 2 cm and outer radius 10 cm has about 10 thicknesses per centimeter, approximately how long is the paper when unrolled?
determine the depreciation for each of the first two years (a) by the straight-line method and (b) by the double-declining-balance method.
Suppose that 646 ft of fencing is used to enclose a corral in the shape of a rectangle with a semicircle whose diameter is a side of the rectangle. Find the dimensions of the corral with maximum area (in terms of x and y)
Explain how the math properties manifest as physical consequences - Evaluate the mathematical properties of your system - Order ODE
The average of two numbers, a and b, is given. The average is 75 one number is 91, what is the other number? Please show all work.
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