The Handy Math Answer Book
What is the Mean-Value Theorem? T he Mean-Value Theorem has nothing to do with crankiness, but it isone of the most important th ...
dxd(())cosu dxd u u 1 1 1 = - 2 dxd(())sinu dxd u u 1 1 1 = - 2 dxd( ())uuu=- () ()cscdxdu csc cot ( ()) () ()sec sec ta ...
INTEGRAL CALCULUS What is the integral calculus? The integral calculus is the part of “the” calculus that deals with integrals—b ...
What is the graphic representationof the approximation of an area under a curveusing integration? It’s easier to see the approxi ...
Thus, in the calculus terms, the area of the above graphic region is called the defi- nite integral (also said as “the integral” ...
What are antiderivativesand antidifferentiation? An antiderivative is often interpreted as the same as an indefinite integral, b ...
f(x, y, z), over a three-dimensional region Rin xyz-space (three-dimensional space) is called a triple integral. The notation is ...
What is a linear differential equation? A linear differential equation is a first-order differential equation that has no multip ...
What are first-order homogeneous and non-homogeneous linear differential equations? T hese differential equations may be long-wi ...
sor of the numbers 6975 and 525, we consider one to be the large number and the other the small number. We already know both num ...
unknowns multiplied together is, in a sense, a power 2 of unknowns); and they won’t be inside another function (such as a sine). ...
points in the plane with xand ycoordinates whose respec- tive differences are 3 and 4. All these vectors are parallel to each ot ...
A row vector is usually used for problem solving in which a vector is described as V(x, y, z) during the specification of a pro ...
In this case, 0.6 squared equals 0.36; 0.8 squared equals 0.64. Both added together with the zero equals 1. (If the vector is al ...
How are vectors added? One way to combine vectors is through addition (or composition). This can be done algebraically or graphi ...
culus, but today it is simply called tensor analysis.Tensors were originally invented as the extensions of vectors. Tensor analy ...
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APPLIED MATHEMATICS BASICS What is applied mathematics? Applied mathematics is not only concerned with using rigorous mathematic ...
mathematically driven software—from linked computers over a network to supercomputers—many disciplines that use applied mathemat ...
This includes familiar modes of transportation and communication—from plans for airplanes and bridge construction to designing f ...
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