A Mean Value Theorem or MVT Question?
Question Find all numbers c between a and b for which: (f(b)-f(a))/(b-a) = f'(c) The Problem: f(x) =…
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Algebra: Solve x for [ {2 + (3^1/2)}^1/2]^x + [{2 – (3^1/2)}^1/2]^x = 4?
Answer The trick is this. SQUARE THE EQUATION. Note that : [{2 + (3^1/2)}^1/2]^x = [{2 + (3^1/2)}^(x/2)]…
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A tough Geometry Question
Question Two circles (⊙O and ⊙O’, the radius of ⊙O > the radius of ⊙O’) intersect at Point…
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What is 2+2?
Question I ame on Kindergardren ande i donot know de anwser to the qestion Answer 2 +…
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Digit problem?
Question If the digits 2,3,7 and 6 are arranged randomly so as to form a four-digit number,then how…
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How many real roots?
Question How many real roots does the following equation have: x^5 + 7*x^3 + 3*x + 2 =…
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Let n, m be an element of Z+ and a,b be elements of Z. Suppose that a=b(modn) and a =b(modm) and that (n,m)=1. Prove that a=b(mod nm)
Answer Z+ means positive integers. Proof. (a – b) is divisible by n. (a – b) = pn…
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Hyperbola problems?
Question About focus directrix and other information Answer The hyperbola is the least known and used of the…
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What is the minimum value of X + 1/X=?
Answer Let’s assume further that x is positive real. We start with a simple fact that ANY squares…
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A famous one: 10:3=3.3333~ /a:b=c / why is c*b not a?
Answer It’s because strictly speaking c*b is NOT defined. Why? Multiplication is Not defined for a number with…