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1. Compare fractions and rational expressions. What do they have in common? What is different? Support your answer with examples.
2. Compare the operation of taking a root and the operation of rising to a power. Support this with your own examples.
3. What methods of solving quadratic equations did you learn? What method do you prefer, and in what cases?
Important information about Translation, Let a be a fixed vector in R2. A mapping of the form
A wire 210 inches long is cut into two pieces. One piece formed into a square, and the other into a circle. If they have the same area, what are the lengths of the two pieces of wire.
Let A be a real n x n matrix. Show that a linear subspace E of R^n is A-invariant if and only if E is e^{tA} -invariant for all t in R, where e^{tA} is the exponential matrix associated to A.
Consider the following relation R on the set of positive integers: R = {(x,y)|x and y have the same prime divisors}
A Stirling number Snk is definedc as the number of ways of partitioning the set of positive numbers (1,2,3,....n) into k non empty subsets.
Find, if they exist, points at which the tangents are vertical. Find, if they exist, points at which the tangents are horizontal.
Use the fact that angle of incidence equals the angle of reflection, show that the reflected ray b=(a1,-a2,a3). Deduce that after being reflected by all three mutually perpendicular mirrors, the resulting ray is parallel to the initial ray. Thank ..
Linear Programming can be used to solve very large problems with thousands of variables and constraints. Smaller problems can be easily solved with Excel, which is available on virtually all desktop computers with Microsoft Office or with online appl..
What is the Pythagorean theorem
explain the method for finding the solution of a system of linear equations using row
Which of the following sets are equal to A?
A surfboard manufacturing company has determined that the cost function c(x), in hundreds of dollars, for producing x hundreds of boards is c(x) = .2x^2 -.84x + 3.625.
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