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A wire of length L is to be cut into two pieces, one which will be bent to form a circle and the other to form a square. Determine how the wire should be cut to minimize the sum of the areas enclosed by the two pieces.
In a simple graph, must every vertex have degree that is less than the number of vertices in the graph? Why?
a) Write the equation in slope-intercept form. b) State the slope of the line.
What is the perimeter, in centimeters, of a right triangle that has leg lengths of 8 cm and 11 cm? Round to the nearest tenth centimeter.
A cone-shaped coffee filter of radius 6 cm and depth 10 cm contains water, which drips out through a hole at the bottom at a constant rate of 1.5 cm3 per second
The slope f'(x) at each point (x, y) on a curve y = f(x) is given along with a particular point (a, b) on the curve. Use this information to find f(x). f'(x)=3x^2+6x-2; (0,6) A: x^3 + 3x^2 - 2x B: x^3 + 3x^2 - 2x + 6 C: x^3 + 3x^2 - 2x + c D: x^3 + 3..
Let G be a group. x and y are elements of G. Prove that: The inverse of xy is y^-1x^-1. The identity element, e, is unique
The widths (in m) of half the central arena in the Colosseum in Rome are shown in the following table, starting at one end and measuring from the middle.
Estimate the area under the graph of the given function on the stated interval as instructed.
Find the sample size needed to assure with 95.44 percent confidence that the sample mean will not differ from the population mean by more than 2 units.
A three-digit number, XYZ, is formed of three differentnon-zero digits X, Y , and Z. A new number is formed byrearranging the same three digits. What is the greatest possible difference between the two numbers?
Change into symbolic notation - Roses are red and violets are blue
Solve the equation for a call, in a manner similar to how we solved the Black Scholes equation on a non-dividend paying stock - Reduce to terms of order (St. You will have to use Taylor's theorem. Your answer should not have a δt in it.
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