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Divergence Test Once again, do NOT misuse this test. This test only says that a series is definite to diverge if the series terms do not go to zero in the limit. If the
Explain Identifying Conic Sections The graph of a quadratic equation in the variables x and y, like this one, x 2 + 3y 2 + 6y = -4, is a conic sections. There are three kind
Standard Basis Vectors The vector that is, i = (1, 0,0) is called a standard basis vector. In three dimensional (3D) space there are three standard basis vectors, i → = (1
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-
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In a two dimensional case, the form of the linear function can be obtained if we know the co-ordinates of two points on the straight line. Suppose x' and x" are two
Describe some Example of substitution method of Linear Equations with solution.
Now let's move onto the revenue & profit functions. Demand function or the price function Firstly, let's assume that the price which some item can be sold at if there is
Solve the inequality |x - 1| + |x - 2|≤ 3. Working Rule: First of all measure the expression to zero whose modulus happens in the given inequation and from this search the va
Example1 : Solve the subsequent system of equations. -2x 1 + x 2 - x 3 = 4 x 1 + 2x 2 + 3x 3 = 13 3x 1 + x 3 = -1 Solution The initial step is to write d
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