Questions on Continuity with Solutions.Theorems, related to the continuity of functions and their uses in calculus, are presented and discussed with examples. Continuity Theorems and Their use in Calculus.Introduction definition of the concept of continuous functions in calculus with examples. Main theorem in limits and its uses in calculating limits of functions. Limits of Constant and Linear Functions.More exercises with answers are at the end of this page. Several Examples with detailed solutions are presented. Find the limits of various functions using different methods. Limit of Arctan(x) as x Approaches Infinity.Limits of Absolute Value Functions Questions.Numerical and graphical examples are used to explain the concept of limits.
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A tutorial on how to use the first and second derivatives, in calculus, to graph functions.Ĭalculus Questions, Answers and Solutions First, Second Derivatives and Graphs Of Functions.A tutorial on how to use calculus theorems using first and second derivatives to determine whether a function has a relative maximum or minimum or neither at a given point.
Use Derivatives to solve problems: Distance-time Optimization.Calculus Rate of change problems and their solutions are presented. Solve Rate of Change Problems in Calculus.Tangent lines problems and their solutions are presented. Solve Tangent Lines Problems in Calculus.A detailed solution to the problem is presented. The first derivative is used to minimize the surface area of a pyramid with a square base. Use First Derivative to Minimize Area of Pyramid.Problems, with detailed solutions, where the mean value theorem is used are presented. Use the first derivative to find the equation of a quadratic function given tangent lines to the graph of this function. Use Derivative to Find Quadratic Function.The first derivative is used to maximize the power delivered to a load in electronic circuits. How to maximize the volume of a box using the first derivative of the volume. Maximize the area of a rectangle inscribed in right triangle using the first derivative Maximum Area of Rectangle in a Right Triangle - Problem with Solution.The first derivative is used to maximize the area of a triangle inscribed inside a circle. Maximum Area of Triangle - Problem with Solution.Find The Volume of a Square Pyramid Using Integrals.Find The Volume of a Frustum Using Calculus.Find The Volume of a Sphere Using Calculus.Volume of a Spherical Cap using integrals.
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Free Calculus Questions and Problems with Solutionsįree calculus tutorials including problems and questions with solutions are presented.
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