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A right triangle with legs of 5 and 12 is rotated about it's hypotenuse to form a solid which is pointed at two ends. What is the volume of that solid? (Exactly in terms of pi).
Systems of equations can be solved by graphing or by using substitution or elimination. What are the pros and cons of each method? What circumstances would cause you to use a different method?
The following linear trend equation was developed for annual sales from 1984 to 1990 with 1984 the base or zero year. Y1 = 500 + 60X (in $ thousands). What are the estimated sales for 1984?
How would I calculate the 1 yr forward rates over the next 3 years for spot rates of Yr 1 .050
Please prove the following theorem: A system of linear equations has zero, one or infinitely many solutions; there are no other possibilities.
Matrices have a number of interesting mathematical attributes, such as their dimensions, how they can be derived from linear systems, and the kinds of operations that can be performed on them.
In the following case, state if the following set of vectors are linearly independent or linearly dependent. Justify your answer.
In a survey of 700 randomly selected workers, 16 percent got their jobs through newspaper ads. Consider hypothesis test that uses 0.05 significance level [95 percent confidence interval], test the claim that less than 20 percent of workers got thei..
Linear Fractional Transformation, Consider the transformation w = (i - z) / (i + z). The upper half plane Im z > 0 maps to the disk |w|
In a certain population of people, 20% are blue-eyed and 80% are brown-eyed. Also, 6% of the blue-eyed people are left-handed and 14%of the brown-eyed people are left-handed.
Consider a Lagrangian system, with configuration space R^n, given by (x^1, ... x^n); and Lagrangian L(x', ..., x^n; v^1, ... v^n). Now consider a new system of coordinates, (y^1,... ^n),
A right triangle is a triangle with one angle measuring 90? In a right triangle, the sides are related by Pythagorean Theorem, , where c is the hypotenuse (the side opposite the 90?angle).
Assume that a watermelon dropped from a tall building falls y=16t^2 in t sec. Find the watermelon's average speed during the first 3 sec of fall and the speed at the instant t=3sec.
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