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Give the Proofs in Mathematics ?
1 Two-column deductive proof
Proof:Statements Reasons* Start with given conditions or * Given information with a conclusion based on a diagram * Definitions and label all the statements sequentially. * Postulates* Develop a chain of reasoning. Write * Previously proved theorems each logical step as a separate statement * Algebraic properties with a corresponding reason. * Continue the above steps until a statement corresponding to the conclusion of the original argument is reached.
The two-column deductive proof uses a direct method to prove an argument in a finite number of sequential steps. In geometry, the two-column deductive proof is the most common and powerful method and is usually referred to as a "formal" proof.
2 Indirect method of proof
1. From the given information, list all the possibilities including the given conclusion.
2. Prove that all possibilities other than the given conclusion are false.
3. Therefore, only the given conclusion is true.
3 Counterexample proof
Solve the following: Line Bearings Distance a. N 15 E 4km b. S 10 E ? c. N 80 W ?
Explain Comparing Mixed Numbers in maths? A mixed number is made up of two parts: a whole number and a fraction. For example: 2(3/4) 2(3/4) is read "two and three-fourths
remainder theorem
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in 2000,nearly 18% of cars in north America were sliver. what percent of the cars sold were not sliver?
f Y is a discrete random variable with expected value E[Y ] = µ and if X = a + bY , prove that Var (X) = b2Var (Y ) .
Find the sum of all natural no. between 101 & 304 which are divisible by 3 or 5. Find their sum. Ans: No let 101 and 304, which are divisible by 3. 102, 105..........
2+2=
one half y minus 14
How many integers satisfy (sqrt n- sqrt 8836)^2 Solution) sqrt 8836 = 94 , let sqrt n=x the equation becomes... (x-94)^2 (x-94)^2 - 1 (x-95)(x-93) hence 93 8649 the number o
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