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What type of growth pattern is represented here?
5,000 10,000 20,000 40,000 80,000
A linear transformation L:V->V is said to be idempotent if L dot L = L. If L is idempotent, show that there exists a basis S={a1,a2,...,an} for V such that L(ai)=ai for i= 1,2,...,r
Create a system of linear equations from my own life. Keep in mind that a system of linear equations will consist of two equations using the same variables and the variables will represent the same thing for both equations
Let A be a positive definite matrix. Show that X has a unique positive square root. That is, show that there exists a unique positive matrix X such that X^2 =A.
Sketch the curve for y = sin(x) between x = 0 and x = 2?, then find the total area enclosed by the curve y = sin x and the X axis between x = 0 and x = 1.7.
A motorboat travels 664 km in 8 hours going upstream and 452 km in 4 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?
The distance between the building and the pole is 189 ft, and the pole casts a shadow that is 4.25 ft long. How tall is the building?
how many pages should be advertising, and how many should be news stories?
How may switches of each type should be produced in order to maximize profit? What is the maximum profit?
A sample of 12 measurements has a mean of 24 and a standard deviation of 2.5. Suppose that the sample is enlarged to 14 measurements, by including two additional measurements having a common value of 24 each.
If 25% of the blades in the manufacturing are new, 60% are of average sharpness, and 15% are worn, what is the proportion of products that exhibit edge roughness? Round your answer to four decimal places (e.g. 98.7654).
Then graph the equation and use the graph to determine the value of Bob's coin collection if it is 9 years old.
Assume that f(z) is analytic at the origin and f(0) = first derivative of f at 0 = 0. Prove that f(z) can be written in the form f(z) = [z^2]g(z), where g(z) is analytic at z = 0.
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