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sin3θ = cos2θ find the most general values of θ satisfying the equatios?sinax + cosbx = 0 solve ?Solution) sin (3x)= sin(2x + x)= sin(2x)cos(x) + cos(2x)sin(x)= 2sin(x)cos(x)cos(x) + (1 - 2sin² (x) ) sin(x)= 2sin(x)cos² (x) + sin(x) - 2sin³ (x)= 2sin(x) ( 1 -sin² (x) ) + sin(x) - 2sin³ (x)= 2sin(x) -2sin³ (x) + sin(x) - 2sin³ (x)= -4sin³ (x) + 3sin(x)= 3sin(x) - 4sin³ (x)
Sketch the phase portrait for the given system. Solution : From the last illustration we know that the eigenvectors and eigenvalues for this system are, This tu
Case 1: Suppose we have two terms 7ab and 3ab. When we multiply these two terms, we get 7ab x 3ab = (7 x 3) a 1 + 1 . b 1 + 1 ( Therefore, x m . x n = x m +
To find the distance to nearby stars, the method of parallax is used. The idea is to find a triangle with the star at one vertex and with a base as large as possible. To do this, t
can anyone solve this assigment: D=lsqrt(3x-5) sqrt(2x)l =3 l -1 1 l
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'
Celine deposited $505 into her savings account. If the interest rate of the account is 5% per year, how much interest will she have made after 4 years? Use the formula F = 9/5
What is a truth table? Distinguish between Tautology & Contradiction?
1. For a function f : Z → Z, let R be the relation on Z given by xRy iff f(x) = f(y). (a) Prove that R is an equivalence relation on Z. (b) If for every x ? Z, the equivalenc
The following table contains some information about the model used. Assume the probabilities given by the model are those of being a good writer. Variable
Three Dimensional Spaces In this section we will start taking a much more detailed look at 3-D space or R 3 ). This is a major topic for mathematics as a good portion of Calc
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