Sequences are useful in a number of mathematical disciplines due to, for studying functions, spaces. Mathematical structures using the convergence properties of sequences. In particular, sequences are the basic for series, which are important in differential equations and analysis. sequence and series
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Category: AP
Maxima and minima
A high point of curve is called a maxima. A low point is called a minima. In the Curve only one global maxima or minima exists , while more than one local maximum or minimum. Due to curve turn on these point are called local. Hence these point also called stationary points. Maxima and minima
Equation of curve
Equations of curve evaluate by doing integration of derivative curve. The gradient and a point the curve passes through are given as.. Gradient: dy/dx = 6sqrt(x) Point the curve passes through: (4,1) I need to find the equation of the curve. Therefore integration is process of finding equation of the curve. Equation of curve
Parametric Equation
Parametric Equation. Namely, x = f ( t ), y = g ( t ) t D. where D is a set of real numbers. The variable t is called a parameter and the relations between x, y and t are called parametric equations. The set D is called the domain of f and g and it […]
Derivative of Parametric and Polar Equat...
This post is about derivatives of Polar and parametric Equations. Because of polar equation, Polar equation like parametric equations of the curve where the angle θ is parameter. As well as equations have parameter (r,θ). For this polar equation, the parametric equations are x ( θ) = cos θ and y ( θ) = sin θ. Therefore, the […]
Derivative of polar equation
This post is about derivatives of Polar Equations. Because of polar equation, Polar equation like parametric equations of the curve where the angle θ is parameter. As well as equations have parameter (r,θ). For this polar equation, the parametric equations are x ( θ) = cos θ and y ( θ) = sin θ. Therefore, the derivative is which […]
Derivative of Polar Equation
This post is about derivatives of Polar Equations. Because of polar equation, Polar equation like parametric equations of the curve where the angle θ is parameter. As well as equations have parameter (r,θ). For this polar equation, the parametric equations are x ( θ) = cos θ and y ( θ) = sin θ. Therefore, the derivative is which […]
Parametric and Polar Equation
Parametric and Polar Equations , a function with two variables, x and y. In some cases, though it is useful to introduce a third variable, called a parameter, and express x and y in terms of the parameter. Polar equations ,work. Coordinates in polar equations are of the form (r,θ), where r represents radius and θ represents angle. Hence both are same type […]
Integration by substitution
This post is about worksheet of Integration by substitutions. It also one of most important concept of integral calculus . The function ƒ(φ(t))φ′(t) is also integrable on [a,b] Integration by substitution
Definite integration
A Definite Integral has start and end values. In other words there is an interval [a, b]. Hence , definite integral gives particular solution. Definite Integration
