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the surface area of the moon is 37 932 330 km2.calculate the side length of a square with the same area.
Let gamma be a closed rectifiable curve in C (Complex plane) and a is not an element of {gamma}. Show that for n>= 2 integral over gamma of (z-a)^-n dz = 0.
What are the four steps for solving an equation? Should any other factors be accounted for when solving an equation? Should any factors be accounted for when explaining how to solve an equation? Explain your answer.
Using one of the tests for convergence (comparison, limit, integral, nth term, etc.), show whether the following series converges or diverges:
A bookstore has an annual demand for 40,000 copies of a best-selling book. It costs $0.90 to store one copy for one year, and it costs $15 to place an order. Find the optimum number of copies per order.
A pizza pan is removed at 8:00 PM from an oven at a fixed temperature of 400 degrees into a room that is a constant 72 degrees. After 5 minutes, the pan is at at 300 degrees F. At what time is the pan 135 degrees?
A straight line moves in such a way that the sum of the reciprocals of the intercepts of the axes is equal to 1/k , where k is a constant. Prove that the line will pass through a fixed point.
Of 100 Clock radios with digital turners and /or CD players sold recently in a department store, 70 had digital turners and 90 had CD players. How many radios had both digital turners and CD players?
Let the sum from n=m to infinity of a_n be a formal series of real numbers. If this series is absolutely convergent, then it is also conditionally convergent.
find two other pairs of polar coordinates of the given polar coordinate, one with r > 0 and one with r
Probabilities from proportion tables, The following tables give the proportions of men and women in the U S population, and the proportions of men and women who have never married, in a recent year.
Explain the importance of Euclid's parallel postulate in the development of hyperbolic and spherical geometry.
For this module you will design some simple digital circuits based on Boolean expressions. Draw circuits that implement the following Boolean expressions using some combination of AND, OR, NOT, NAND, and NOR gates.
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