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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.
A racquetball court is 40 ft through 20 ft. What is the area of the court in square feet? The area of a rectangle is length times width. Thus, the area of the racquetball court
Solve the subsequent proportion: Example: Solve the subsequent proportion for x. Solution: 5:x = 4:15 The product of the extremes is (5)(15) = 75. The produ
I need help with one logarithm problem
Quotient Rule : If the two functions f(x) & g(x) are differentiable (that means the derivative exist) then the quotient is differentiable and,
Find out the surface area of the solid acquired by rotating y = √ (9-x 2 ), - 2 x 2 about the x-axis. Solution The formula that we'll be using here is, S = ∫ 2Πyds
A 20-foot light post shows a shadow 25 feet long. At the similar time, a building nearby casts a shadow 50 feet long. determine the height of building? a. 40 ft b. 62.5 ft
Subtraction - Vector arithmetic Computationally, subtraction is very similar. Given the vectors a → = (a 1 , a 2 , a 3 ) and b → = (b 1 , b 2 , b 3 ) the difference of the t
If α & ß are the zeroes of the polynomial 2x 2 - 4x + 5, then find the value of a.α 2 + ß 2 b. 1/ α + 1/ ß c. (α - ß) 2 d. 1/α 2 + 1/ß 2 e. α 3 + ß 3 (Ans:-1, 4/5 ,-6,
y+7 3y-2 --- = 1 + ---- 3 5
Two trains leave two different cities 1,029 miles apart and head directly toward every other on parallel tracks. If one train is traveling at 45 miles per hour and the other at 53
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