Integral has many applications right from finding areas under the curve to finding volume of solids of revolution, finding arc length, surface area, work done etc and many other applications of physics too. Here you can find beautiful summary of finding volume by three methods (disk, washer and shell) as well as volume by cross […]
Differential calculus has numerous applications , from finding critical values to finding maximum and minimum values , checking concavity, rate of change measures, linearization , optimization and many more. I find these topics very interesting and i bet you too will find them interesting once you get the concepts. Here i’m sharing a link where […]
Exponential function: Any function represented as f(x)= is called exponential function, where a>0 and a . Domain of an exponential function is R, set of all real numbers and range is (0, ) because exponential function attains only positive values. For more on exponential and logarithmic functions, visit here…https://celestialtutors.com/topic/exponential-and-logarithmic-functions/
Polar coordinate system is a plane with Pole(point O) and polar axis which is horizontal axis from point O. Any point P in this plane is assigned polar coordinates represented as P(r, theta) we measure theta as positive when moving counterclockwise and negative when moving clockwise. If r > 0, then P is on the […]
A complex number is represented as a+ib where a is real part and b is imaginary part. The complex number a+ib can also be represented as ordered pair(a,b) and plotted as a point in Argand plane. In this plane horizontal axis is called real axis and vertical axis is called imaginary axis. Complex numbers
An algebraic expression containing two terms is called binomial expression. The general form of the binomial expression is (x+a) and the expansion of (x+a)^n, where n is a natural number, is called binomial theorem. It gives a formula for the expansion of the powers of binomial expression. The coefficients in the binomial expansion follow a […]
The word equation is derived from word ‘equal’. Any expression having equal (=) sign is called equation. If any linear algebraic expression in one variable is equal to some integer or some other algebraic expression, then it is called algebraic equation. Linear equations can be categorized as follows 1. When variable is only one side. […]
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