Top answers

Find the volume of revolution formed by rotating the curve y = sinx 2pie around the x- axis

To solve this problem we need a formula. Integral of y 2 dx multiplied by pie. First we square the questions of the curve we are given (sinx) 2 . Next we apply double angle formula to reduce the power so we ...
AM
3710 Views

Explain the process of using de Moivre's Theorem to find a trigonometric identity. For example, express tan(3x) in terms of sin(x) and cos(x).

Identify de Moivre's Theorem: (cos(x) + isin(x)) n = cos(nx) + isin(nx) 2) Deduce the correct value of n for the given problem. In this example we set n=3 3) Expand the LHS (usually by a binomial expansion)....
OL
5315 Views

For a homogeneous second order differential equation, why does a complex conjugate pair solution (m+in and m-in) to the auxiliary equation result in the complementary function y(x)=e^(mx)(Acos(nx)+Bisin(nx)), where i represents √(-1).

For a second order differential equation, our auxiliary equation, am 2 +bm+c=0, has two roots. Let's denote these roots as A and B. Note that A and B can be the same if there is a repeated root, but we're no...
JB
3451 Views

State the conditions by which a Poisson distribution model may be suitable for a given random variable X.

The events recorded by X occur randomly, independently, singly in space and time and at a constant average rate (an average (mean) rate proportional to the length of the interval).
KC
2653 Views

How do I integrate arctan(x) using integration by parts?

This is an example where we use integration by parts, but it is not immediately obvious where to start.Recall the integration by parts formula ∫u(dv/dx) dx = uv - ∫(du/dx)v dx KEY STEP: We write arctan(x) = ...
OC
24313 Views