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Calculus Homework Help

Calculus means a computational method or a growth. Calculus is a branch of mathematics focused on limits, functions, derivatives, integral and infinite series. Calculus is basically just very advanced algebra and geometry. In one sense, it’s not even a new subject — it takes the ordinary rules of algebra and geometry and tweaks them so that they can be used on more complicated problems. Calculus originates from describing the basic physical properties of our universe, such as the motion of planets, and molecules. The branch of mathematics called Calculus approaches the paths of objects in motion as curves, or functions, and then determines the value of these functions to calculate their rate of change, area, or volume. In the 18th century, Sir Isaac Newton and Gottfried Leibniz simultaneously, yet separately, described calculus to help solve problems in physics. The two divisions of calculus, differential and integral, can solve problems like the velocity of a moving object at a certain moment in time, or the surface area of a complex object like a lampshade. This subject constitutes a major part of modern mathematics education. Calculus is the study of change, in the same way that geometry is the study of shape and algebra is the study of operations and their application to solving equations.

All of calculus relies on the fundamental principle that you can always use approximations of increasing accuracy to find the exact answer. For instance, you can approximate a curve by a series of straight lines: the shorter the lines, the closer they are to resembling a curve. You can also approximate a spherical solid by a series of cubes that get smaller and smaller with each iteration, which fits inside the sphere. Using calculus, you can determine that the approximations tend toward the precise end result, called the limit, until you have accurately described and reproduced the curve, surface, or solid.

Some of its main topics are:

All of calculus relies on the fundamental principle that you can always use approximations of increasing accuracy to find the exact answer. For instance, you can approximate a curve by a series of straight lines: the shorter the lines, the closer they are to resembling a curve. You can also approximate a spherical solid by a series of cubes that get smaller and smaller with each iteration, which fits inside the sphere. Using calculus, you can determine that the approximations tend toward the precise end result, called the limit, until you have accurately described and reproduced the curve, surface, or solid.

Some of its main topics are:

**1.**Limit and continuity**2.**Differentiation**3.**Successive differentiation**4.**Tangents and normals**5.**Maxima and minima**6.**Mean value theorems**7.**Intermediate forms**8.**Asymptotes**9.**Curvature**10.**Partial differentiation**11.**Singular points and curve tracing**12.**Envelopes**13.**Methods of integration**14.**Integration of rational and irrational functions**15.**Integration of trigonometric functions**16.**Definite integrals**17.**Geometrical applications of the definite integral**18.**Centre of gravity and moment of inertia**19.**Differential equations of first order**20.**Linear differential equations**Calculus Homework | Calculus Homework Help | Calculus Homework Help Services | Live Calculus Homework Help | Calculus Homework Tutors | Online Calculus Homework Help | Calculus Tutors | Online Calculus Tutors | Calculus Homework Services | Calculus**

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Topics

Natural Logarithms
First Principles Differentiation
Asymptotes
Tangents At The Origin
Radius Vector, Tangent Angle
Intersection Angle Two Curves
Arc Length Derivative
Area Bounded By Closed Curve
Area Under Cartesian Curve
Area Under Polar Curve
Algebraic Curves Asymptotes
Polar Curve Asymptotes
Cartesian Curve Tracing
Cauchy Mean Value Theorem
Centre Of Curvature
Centre Of Gravity
Centre Of Gravity Of Plane Area
Centre Of Gravity-Volume
Chord Of Curvature
Clairauts Equation
Concave Curve Concavity Test
Continuity Of A Function
Elementary Functions Continuity
Curvature
Definite Integral
Definite Integrals
Derivability And Continuity
Derivative Differentiation
Implicit Function Derivative
Parametric Derivative
Transformation Derivatives
Differential Equation
Differential First Order Degree
Homogeneous Reducible Equation
Equations Solvable For P
Equations Solvable For X
Equations Solvable For Y
Eulers Homogeneous Function
Exact Differential Equation
Exponential Function
Curves Family Envelope
Extreme Values Test
Differential Equation Formation
Chain Rule Function Derivative
Function Of Two Variables
Integral Fundamental Theorem
Higher Order Derivatives
Homogeneous Equations
Homogeneous Functions
Homogeneous Linear Differential
Hyperbolic Functions
Indefinite Integral
Infinite Limits
Inflexion Point
Integrals With Infinite Limits
Partial Fraction Integration
Integration By Parts
Integration By Substitution
Trigonometric Function Integration
Intermediate Forms
Intersection Of A Curve
Intervals
Intrinsic Equation
Function Inverse Derivative
Inverse Trigonometry Function
Irrational Functions
L Hospitals Rule
Lagrange Mean Value Theorem
Left, Right Hand Derivatives
Left, Right Hand Limits
Cartesian Curve Arc Length
Parametric Curve Arc Length
Function-Limit, Continuity
Limit Of A Function
Linear Differential Equations
Oblique Asymptotes
Linear Constant Coefficients
Maclaurin Mean Value Theorem
Maxima And Minima
Inertia Moment
Multiple Points
Curves One Parametric Family
Parametric Curve Tracing
Partial Derivatives
Particular Integrals
Pedal Equation
Point Neighbourhood In Plane
Polar Co-ordinates
Polar Curve Tracing
Double Points Position, Nature
Cartesian Curvature Radius
Rational Functions
Real Number Modulus
Real Numbers
Rigorous Second Derivatives
Rolle-Continuous Function
Extreme Value Second Derivative
Second Order Partial Derivative
Subtangent And Subnormal
Summation Of Series
Standard Integrals Table
Tangent Equation
Taylors Mean Value
The Operator D
Composite Function Derivative
Function Total Differentiation
Trigonometric Functions
Uniform Continuity
Revolution Solid Volume

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