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It is possible to define a trigonometry that is based on a shaper other than the unit circle. We define a new function called diamond-sine. It will be based on a square, the corners of the square will intersect the axes at points that are one unit from the origin. Let diamond-sin(t) give the y-coodinate of a point that is t units counterclockwise along the perimeter of the diamond from the point (1,0).
Find three positive numbers whose sum is 54 and whose product is as large as possible and find the interior and boundary points only at which the absolute extrema of f(x, y) can occur.
Someone flips three coins behind a screen and says, "I flipped at least two heads." What is the probability that the flipper flipped three heads?
Price the European option to swap gold for silver that matures in 6 months. suppose the storage cost, as a rate, of gold is .05 and of silver is .06. What is the exchange option worth?
Heat Equation Problem, Find the solution u(x,t) of the heat equation: with initial data u(x,0) = x
You are planning to spend no less than $6000 and no more than 10,000 on your landscaping project. Write an inequality that demonstrates how much money you are willing to spend on the project?
Can you make a problem and show a complete solution about this topic.
What is the rate of change of the radius of the lower ball at moment when the radius of the middle ball is 12in?
Probability Let A and B be two mutually exclusive events of a sample space S. If P(A) = 0.6 and P(B) = 0.2, find each of the following probabilities of
A dance team knows 14 routines of which 7 are tap, 5 are ballet, and 2 are modern. The program can consist of any four routines. In how many ways can the manager choose which routines to present if there are no restrictions?
An Isosceles triangle is inscribed in a semicircle, as shown in the diagram, and it continues to be inscribed as the semicircle changes size. The area of the semicircle is increasing at the rate of 1 cm^2/sec when the radius of the semicircle is 3..
Suppose p3 represents the proportion of patients who showed improvement after one month of therapy three times a week and p2 represents the proportion of patients who showed improvement after one month of therapy twice a week. A 95% confidence int..
What percentage of the commuters are expected to use public transportation 6 months from now?
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