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verify 4(sin^4 30^0+cos60^0 )-3(cos^2 ?45?^0-sin^2 90^0 )=2
Problem 1 Let ~x0 = A~x and y 0 = B~y be two 2 2 linear systems of ODE. (1) Suppose that A and B have the same purely imaginary eigenvalues. Prove that these systems are topologi
Arc Length - Applications of integrals In this part we are going to look at determining the arc length of a function. As it's sufficiently easy to derive the formulas that we'
explain brand personality with examples
A professor is interested in decisive if attending college influences the level at which an individual cooperates with the police. The professor is not sure if attending college w
Example of inflection point Determine the points of inflection on the curve of the function y = x 3 Solution The only possible inflexion points will happen where
A 'woman was trying to teach her three-year-old child the numbers from 1to 5 from a children's book on numbers. Each number was illustrated by the same number of trees drawn next t
Consider the function f(x) = x 2 - 2x - 1. (a) Factorise f(x) exactly. (b) Find the exact points (x and y coordinates required) where the graph of y = f(x) cuts the x and y-
Mean Value Theorem : Suppose f (x) is a function which satisfies both of the following. 1. f ( x )is continuous on the closed interval [a,b]. 2. f ( x ) is differentiable on
The two opposite vertices of a square are (-1, 2) and (3, 2). Find the coordinates of the other two vertices.
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