A power series is an infinite polynomial on the variable x and can be used to define a variety of functions. Explore the formula and examples of...
to calculate the total number of sets present in a power set we have to use the formula: no. of sets in p(s) = 2^n, where n is the number of elements in set s. q3 what is the power set of an empty set? an empty set is a null set, which does not have any elements ...
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Give the first 5 non-zero terms in the power series expansion and evaluate the derivative of the following function: g (x) = tan^{-1} 4 x, g^{(7)} (0) Find the Maclaurin series of f(x) = \frac{sin x}{x} In Calculus I the following limit was established li...
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Real functions are the raw material of differential and integral calculus. Here we list some of the more frequently used functions together with references to their definitions. The Modulus Function This is the real function x ↦ |x|. See Section 1.4. Its maximal domain is ℝ. Power Functi...
the exponential form. from the differences between power and exponent provided here, we can say that an exponent is a little digit placed above at the right of a given number, while the power represents the whole expression, containing the base number and the exponent. solved examples q.1: ...
Integration Problems in Calculus | Examples & Solutions from Chapter 13/ Lesson 13 146K Learn what integration problems are. Discover how to find integration sums and how to solve integral calculus problems using calculus example problems.
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In contrast to the explicit formula provided by Eq. (12), the trapezium rule provides an approximation whose error scales the square of the interval size (assuming a uniform step). For a fixed error of e, the Lanczos and Spouge algorithms require O(Àlog(e)) steps, whilst the trapezium...