set theory, Mathematics

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Subtangents & subnormals, show that the subtangent at any point on parabola...

show that the subtangent at any point on parabola y2 =4ax is twice the abscissa at that point.

Find out a particular solution to equation, Example: Find out a particular...

Example: Find out a particular solution to y'' - 4y' - 12 y = 3e 5t Solution The point here is to get a particular solution, though the first thing that we're going to

Decimal representations of some basic angles, Decimal representations of so...

Decimal representations of some basic angles: As a last quick topic let's note that it will, on occasion, be useful to remember the decimal representations of some basic angles. S

Express the gcd as a linear combination, Express the GCD of 48 and 18 as a ...

Express the GCD of 48 and 18 as a linear combination.              (Ans: Not unique) A=bq+r, where  o ≤  r 48=18x2+12 18=12x1+6 12=6x2+0 ∴ HCF (18,48) = 6 now  6

Calculate the amount of money a person has left after death, When Ms. Jones...

When Ms. Jones retired, she received a lump sum of $1,000,000 from her pension plan.  She then invested this sum in an annuity account that would pay her an equal amount at the end

Use mathematical induction and prove equation, 1. Use mathematical inductio...

1. Use mathematical induction to prove whenever n is a positive integer. 2. Use loop invariant to prove that the program for computing the sum of 1,...,n is correct.

Decision trees and sub sequential decisions, Decision Trees And Sub Sequent...

Decision Trees And Sub Sequential Decisions A decision tree is a graphic diagram of different decision alternatives and the sequence of events like if they were branches of a t

Economics, A mortgage lender seeks to maximize the expected value of its po...

A mortgage lender seeks to maximize the expected value of its portfolio. The portfolio, of course, is the sum of all of the mortgages in it, so no generality is lost by examining t

Marginal probability, Marginal Probability Probability of event A happe...

Marginal Probability Probability of event A happening, denoted by P(A), is called single probability, marginal or unconditional probability. Marginal or Uncondi

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