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Series - The Basics
That topic is infinite series. So just define what is an infinite series? Well, let's start with a sequence {an}∞n=1 (note the n=1 is for convenience, it can be anything) and describe the following,
The sn are called partial sums and notice that they will form a sequence, {sn}∞n=1. Also recall that the ∑ is used to present this summation and termed as a variety of names. The most general names are:
a. Series notation,
b. Summation notation, and
c. Sigma notation.
Find the sum of a+b, a-b, a-3b, ...... to 22 terms. Ans: a + b, a - b, a - 3b, up to 22 terms d= a - b - a - b = 2b S22 =22/2 [2(a+b)+21(-2b)] 11[2a + 2b - 42b] =
Tangents with Polar Coordinates Here we now require to discuss some calculus topics in terms of polar coordinates. We will begin with finding tangent lines to polar curves.
A boat tour company charges $11 for a harbour tour and averages 450 passengers on Saturdays. Over the past few months, the company has been experimenting with the price of a tour a
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Q. Show Inverse Trigonometric Functions? Ans. Many functions, including trig functions, are invertible. The inverse of trig functions are called ‘inverse trig functions'.
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