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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.
On 30 June 2012 Bill purchase a home by taking out a 30 year mortgage of $600,000 at 6% interest per annum, compounded months. Repayments are made at the end of each month. (a) Cal
Unit circle: The unit circle is one of the most valuable tools to come out in trig. Unluckily, most people don't study it as well. Below is the unit circle with just the first
Are the following Boolean conjunctive queries cyclic or acyclic? (a) a(A,B) Λ b(C,B) Λ c(D,B) Λ d(B,E) Λ e(E,F) Λ f(E,G) Λ g(E,H). (b) a(A,B,C) Λ b(A,B,D) Λ c(C,D) Λ d(A,B,C,
Consider the finite state machine whose state transition table is : Draw the graph for it. Ans: The graph for the automata according to the transition table is drawn b
joey asked 30 randomly selected students if they drank milk, juice, or bottled water with their lunch. He found that 9 drank milk, 16 drank juice, and 5 drank bottled water. If the
give some examples
Derive for the filter from z=a and poles at z=b andz=c, where a, b, c are the real constants the corresponding difference equation. For what values of parameters a, b, and c the fi
It's now time to do solving systems of differential equations. We've noticed that solutions to the system, x?' = A x? It will be the form of, x? = ?h e l t Here l and
Three shirts and five ties cost $23. Five shirts and one tie cost $20. What is the price of one shirt? Let x = the cost of one shirt. Let y = the cost of one tie. The ?rst part
Integration of square root of sin
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