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Upload Resources ↓These are some notes on vectors covering the theory of vectors , No examples. Also people who know vectors well please fact check me. Good Luck!
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Biology notes so far. Some stuff is missing as this doesnt contain all year 11 content
Jackson's questions in powerpoint Third one is in dot points Marks are next to questions
Class notes from Modern History about the different types of histories we study.
Induction Proof is a 3-step method: 1. Prove the Base Case (Multiple may be needed situationally). 2. Prove the Inductive Step. In other words: Assume that the N case is true, to prove that the N+1 case is true. 3. By the Principle of Mathematical Induction, this equation (or relevant information) is true for N [where N is in some subset of numbers]. Example Proof: Prove that 1 + 2 + 3 + ... + n = 1/2 * n (n + 1), for all positive integers n. 1. Prove the Base Case (n = 1) LHS = 1 RHS = 1/2 * 1 * (1 + 1) = 1/2 * 1 * 2 = 1 = LHS Therefore the Base Case has been proved. 2. Prove the Inductive Step Assume that 1 + 2 + 3 + ... + k = 1/2 * k (k + 1), where n = k and k is a positive integer ...........................( 1 ) To prove that 1 + 2 + 3 + ... + k + (k + 1) = 1/2 * (k + 1) (k + 2) ...........................( 2 ) LHS of ( 2 ) = 1/2 * k (k + 1) + (k + 1) = 1/2 * [k (k + 1) + 2 (k + 1)] = 1/2 * (k + 1) (k + 2) = RHS of (2) 3. Writing the essay (* for must write this statement) Because we have proved the Base Case n = 1, And we have proved that n = k + 1 is true IF n = k is true, Therefore it must be true for n = 1 + 1 = 2, n = 2 + 1 = 3, n = 3 + 1 = 4, and so on. *Therefore by the Principle of Mathematical Induction, the statement is true for all positive integers n.
All relevant notes and concepts for the Business Management syllabus dot point.
All relevant notes and concepts for the Business Planning syllabus dot point.
All relevant notes and concepts for the Nature of Business syllabus dot point.
Notes for the concept of Final Values and Present values in financial mathematics. All credit to Ricky
In-class work for topic Sequence and Series
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All content on the role and function of businesses.