Recently Active Mathematics Questions

xdy=y(dx+ydy) if y(1)=1 nd y(x)>0 then find y(-2) ...

This question was posted by Bhatt sir about more than a year back in another forum: Let f(x)=\sin(x^3) Determine all n for which the n-th derivative of f(x) is non-zero at x=0. ...

Compute the area between y2=x3/(2a-x) and its asymptote. ...

how to do summation Tr= 1/ r^r.............. find S∞ ...

q no 1) let n>=2 be a fixed integer....... f(x) be a bounded function defined in f:(0,a)→R satisfying f(x)= \frac{1}{n^2}\sum_{r=0}^{(n-1)a}{f(x+\frac{r}{n})} then f(x)= a)-f(x) b)2f(x) c)f(2x) d)nf(x) ...

*Image* the answer is 4.......and note its AB=>0 if u r not able to see properly ...

*Image* ...

If by any change of axes and without change of origin, the quantity ax + 2hxy + by becomes, a'x' + 2h'x'y' + b'y' , the axes being rectangular in each case , then prove that, a + b = a' + b', and ab - h2 = a'b' - h'2 . ...

Q.If Z1 & Z2 are two complex no such that Z2≠0 and whole mod of Z1-1/Z1+Z2=1.Then prove dat i*Z1/Z2=K,where K is a real no.Find the angle between the lines frm the original to the points Z1+Z2 & Z1-Z2 in terms of K????????? ...

HEY, PLEASE SOLVE THIS PROBLEM: Todd's bike has a combination lock. To unlock his bike Todd has a secret number that is greater than 100 but less than 1000. Todd's secret number is a square number and the cube root of his sec ...

A positive integer n(>1)can be written as a product of power of distinct primes in one and only one way,except the order of factorization. i.e n=p1a1 p2a2......pkak. where 1<p1<p2<.....pk where pi's being prime(i= ...

if the eqn ax^2+2bx-3c=0 has non real roots and 3c/4<(a+b),then c is always -------- ...

if the eqn ax^2+2bx-3c=0 has non real roots and 3c/4<(a+b),then c is always -------- ...

Two players of equal skill, A and B, are playing a set of games; they leave off playing when A wants 3 points and B wants 2. If the stake is Rs. 16, what share ought each to take? ...

If the tangent drawn from the point (t2,2t) on the parabola y2=4x is same as the normal drawn at a point (√5 cosφ, 2sinφ) on the ellipse 4x2+5y2=20, Find the values of t and φ. ...

PLEASE SIR,CAN YOU FIND A SOLUTION TO THIS? (cos p - 1) x^2 + cos p x + sin p = 0, solve p for x belonging to real numbers? ...

If x=cosec(tan-1(cos(cot-1(sec(sin-1a))))) and y=sec(cot-1(sin(tan-1(cosec(cos-1a))))) where 0≤a≤1.Find relationship between x and y ...

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what is remainder when 111111 ......123 times 1 is divided by 271 ...

I learnt this Arihant Differential Calculus book. Please explain how ths has been derived or formulated. 1) If ax2 + bx + c > 0, for all x belonging to R a > 0 and D < 0 2) If ax2 + bx + c > 0, for all x belonging ...

We have 12 Coins. One of them (we dont know which one?) has different weight from the others. With three time scaling (the scale has two pans) find the differrent coin. source:mathlinks ...

find the no of roots of: sin2 πx= log x ...

Find the condition such that the line px+qy=r intersects ellipse x2/a2 + y2/b2 =1 in points whose eccentric angles differ by π/4 ...

find the possible number of ordered triads (m,n,p) where 1≤m≤100 1≤n≤50 1≤p≤25 and (2^m )+(2^n)+(2^p) is divisible by 3........ ...

For what real values of 'a' and 'b' all the maximum of the function f(x)= (5a2/3x3) + 2ax2 - 9x +b are positive and maximum is at point x0=-5/9?? ...

0∫1 tan-1 (1 – x+ x2) dx ...

PLEASE FIND THE MODULAS AND AMPLITUDE OF ii where i = -1 ...

y=(x-[x])[x] 0∫3 y.dx = ??? ...

10∫19 (sin x / 1+x8 ) dx < A. 10 -10 B. 10 -9 C. 10 -8 D. 10 -7 ...

lim { (1/n)((2n+1)(2n+2)2n+3)............(2n+n)^1/n))} n-->∞ ...