Integrate Sin^10 x
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A Tough Geometry Problem
Question Triangle ABC has AC = BC, angle(ACB) = 96 degrees. D is a point in triangle…
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A Math Proportion Quiz Question
Question If a hen and a half can lay an egg and a half in a day and…
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Trigonometrical Proof Question
Question You have a triangle RST. Prove SinR^2 + CosR^2 = 1 given ST is perpendicular to RT….
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Set Theory Inequality: “For two events A and B show that: P(A int B) <= P(A) <= P(A U B) <= P(A)+P(B)? Here (A int B) represents A intersection B, (A U B) represents A Union B"
Answer We use the classic probability relation : P( A U B ) = P(A) + P(B) –…
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A Number Theory Problem: “How many numbers greater than 3000 can be formed from 1,2,3,4,5 without repeating any of them? How many will be even?”
Answer There are two type of numbers greater than 3000 that can be formed here namely, 4 digit…
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A Diophantine Equation: “How can I find all natural numbers a &b such that a^2 + a + 1 = b^2?”
Answer We assume “natural numbers here includes the number zero” (an old convention – may not be valid…
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Function: Range Problem
Question What is the range of the function f ( x ) = xsquared + 4 when the…
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Symmetry 3
Question Use algebraic tests to determine whether the graph of the equation 4x² – 9y² = 1 is…