Questions on Continuity with Solutions.Continuity Theorems and Their use in Calculus are presented and discussed with examples.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.Several Examples with detailed solutions are presented. Find Limits of Functions in Calculus 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. Use of First and Second Derivatives to Graphs Functions.Ĭalculus Questions, Answers and Solutions 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. Minimum, Maximum, First and Second Derivatives.A problem to maximize (optimize) the area of a rectangle with a constant perimeter is presented. Use Derivatives to solve problems: Area Optimization.A problem to minimize (optimization) the time taken to walk from one point to another is presented. Use Derivatives to solve problems: Distance-time Optimization.Problems and their solutions are presented.
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