# Mathematics (7357)

AP

## AP Calculus BC Practice Test 2

The multiple-choice section of the AP Calculus BC exam consists of 45 questions.You have 1 hour and 45 minutes to complete this section.Calculators are not allowed for this part of
AP

## AP Calculus BC Practice Test 1

AP calculus bc practice tests. Over 45+ AP calculus bc practice questions to help you with your AP calculus bc exam preparation .......
AP

## Representations of Functions as Power Series

A power series is a type of series with terms involving a variable and its powers. A power series can be thought of as an infinite polynomial. A power series
AP

## Convergence of Power Series

In general a power series of the form ∑ fn(x), where fn(x) = an(x − c)n is a sequence of functions, has an interval of convergence defined as the set
AP

## The Ratio Test

The way the ratio test works is by evaluating the absolute value of the ratio when applied after a very large number of times (tending to infinity), regardless of the
AP

## Alternating Series and Error Bound

An alternating series is an infinite series with terms that alternate between positive and negative. It has the general form.....
AP

## The Integral Test and p-Series

The Integral Test is a powerful tool for determining whether an infinite series converges or diverges. It relies on the connection between the convergence of a series and the convergence
AP

## Sequences and Series

A sequence is an ordered list of numbers. Each number in the sequence is called a term. For example, the sequence of natural numbers (1, 2, 3, 4, …) is
AP

## Areas in Polar Coordinates

Let’s explore areas in polar coordinates. In the rectangular coordinate system, we use definite integrals to calculate the area under a curve. For instance, if we have a function (y
AP

## Polar Coordinates and Slopes of Curves

When describing a curve using polar coordinates, it remains a curve in the (x-y) plane. The relationship between polar and rectangular coordinates is given by (x = r\cos\theta) and (y