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What is a set? Explain various methods to represent a set in set theory.
Define the following with the help of suitable examples.
(i) Singleton Set (ii) Finite Set
(iii) Cardinality of a Set (iv) Subset of a Set
If A, B are acute angles and sinA= cosB, then find the value of A+B. Ans: A + B = 90 o
If we "break up" the root into the total of two pieces clearly we get different answers. Simplified radical form: We will simplify radicals shortly so we have to next
What is Angle Pairs in Parallel Lines ? Next, we introduce several angle pairs formed by transversals which are very important in our study of geometry. Alternate interior an
How the property AM>or = GM used to get minimum value of the function......e,g for what condition of a and b does minimum value of a tan^2 x + b cot^2 x equals maximum value of a
Detemine Multiplying a Polynomial by a Monomial? To multiply a polynomial by a monomial, use the distributive property. Let's start by talking about ordinary numbers. Say th
Determine the mean of the subsequent numbers: Example: Determine the mean of the subsequent numbers: 5, 7, 1, 3, 4 Solution: where x' =
Solve for x: 4 log x = log (15 x 2 + 16) Solution: x 4 - 15 x 2 - 16 = 0 (x 2 + 1)(x 2 - 16) = 0 x = ± 4 But log x is
Define symmetric, asymmetric and antisymmetric relations. Ans: Symmetric Relation A relation R illustrated on a set A is said to be a symmetric relation if for any x,
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5 hockey pucks and three hockey sticks cost $23. 5 hockey pucks and 1 hockey stick cost $20. How much does 1 hockey puck cost?
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