Recently Active Mathematics Questions

When studying the distribution of prime numbers Riemann extended Euler's zeta function (defined just for s with real part greater than one) to the entire complex plane (sans simple pole at s = 1). Riemann noted that his zeta ...

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if A and B are square matrices of same order such that AB=BA,prove by induction that (AB)n=AnBn. i got stuck after a step i got s BAk+1Bk.......... after this step i can't proceed as i don think we can write it equal to Ak+1B ...

Prove that continuous functions on the closed interval [0,1] are bounded. ...

[matrices] is it possible to have AB=I and A does not have an inverse? ...

lim (1+x)1/x - e / x = ? x \rightarrow 0 here d numerator is whole divided by denominator(for any confusion) ...

what are direction cosines of three mutually perpendicular lines referred to as coordinate axes?????? ...

Do the following limits exist .. limit x→0 x*sin(1/x) limit x→0 x*tan(1/x) limit x→0 tan(1/x) ...

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3sinθ-4cosθ=5,3cosθ+4sinθ=?(plz ans this question in a way that i can understand becoz i am a student of class 10) ...

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IS THERE SOME STANDARD METHOD TO DETERMINE INDEX OF NILPOTENT ...

wat z d value of ∫ sin x dx ...

if A and B are hermitian prove AB-BA IS SKEW HERMIITAN ...

Prove that there exist exactly 2 non similar triangles ABC such that tanA + tanB + tanC = 100. ...

1)Let e be the eccentricity of a hyperbola x2/a2-y2/b2=1. and f(e) be the eccentricity of a conjugate hyperbola then then the value of the integral is *Image* 2) *Image* 3)The equation whose roots are reduced by 3 from the ro ...

how to know the simalarity of a triangle?how to prove tht two triangles are similar? ...

This is a little bit easier than the previous Induction qn: The problem may be familiar to some - it is from an old Hungarian Olympiad (a1,a2,a3,...,an) is a permutation of (1,2,3,...,n). n is an odd integer Prove that (a1-1) ...

As the heading says, I am looking for an MI proof only for this: (its relatively easy otherwise) p≥3 is an integer and a and b are roots of x2-(p+1)x+1. Prove that for all natural numbers n, an+bn is not divisible by p. ...

If f(x)+f(x+a)+f(x+2a)...f(x+na)=0,where a>o,, then the period of f(x) is what? a> a b> (n+1)a c> a/(n+1) d> Non-periodic Please show me the method, sir. ps.:by the way, nishanta sir, i found your techniques to ...

Q. If f(x + f(y)) = f(x) + y for all x and y belonging to R, and f(0) = 1, then what is f(7)? Ans. Method 1: f(x + f(o)) = f(x)+0 or f(x+1)=f(x). so, f(0+1)=f(0)=1=f(1). similarly, f(1+1)=f(1)=1=f(2) . . . . so, f(7)=1. Mehto ...

What will the graph of following fuction look like: f(x)= sinx /(√1 + tan2x) + cosx/(√1 + cot2x) ? I simplified the above expression and it came , according to me, dow to f(x)= sin(2x). However, the answer is not similar ...

3sinθ-4cosθ=5,3cosθ+4sinθ=? ...

Summation of tan-1(1 / 2n+21-n) frm n=1 to infinity equals ? sorry for written question,my latex is not working! ...

Sinx + sin2x=sin3x = 1 cos6x - 4cos4x - 8cos2 = Explain also please ...

Find out the remainder of 19^{92}/92 ...

1) limx→0 x2 sin1/x 2) limx→0 xcos1/x 3) limx→∞ sinx/x 4) limx→∞ cosx/x ...

m,n belongs to I+ then lim x→0 sinXn/(sinX)m equals to a. 1 if n<m b. 0 if n=m c. n/m d. 0 if n>m ...

Six letters are selected from the word RESOLUTION. the probability that S is included is? a.91/150 b.93/155 c.91/154 d.93/154 i m not getting any of these options?????? ...

For what value of k does the function y= x3- 3(7-k)x2-3(9-k2)x+2 , x>0 has a point of maximum ? ...