Frequent Question Of The Day Questions

can anyone express 179 in the given form- ab+ba.... condition- a and b are natural numbers...plzz...don't apply any complicated maths in it...do it in a simple way... thnks in advance for abiding the given conditions.... ...

Integration of Body = ?? ...

f(x)=\begin{cases} 1-x & \text{ if } x<1 \\ (1-x)(2-x) & \text{ if } 1\leq x\leq 2 \\ 3-x & \text{ if } x>2 \end{cases} Determine the values of x for which the following function fails to be continuous or differentiable ...

Lim(x→∞)[ x2+1/x+1 -ax-b]=0 find a & b ...

Let f(x) be a real valued function not identically zero satisfies the equation, f(x+yn)=f(x)+(f(y))n for all real x & y and f'(0)≥0 where n(>1) is an odd natural number. Find f(10) ...

(1), (2,3,4), (5,6,7,8,9),.... Find the sum of numbers in the nth group ...

1/1.3 + 1/2.4 + 1/3.5 ... till infinite terms ...

1/1.2 + 1/2.3 + 1/3.4 +...till infinite ...

Pn= (1+x)(1-x2)(1+x3)....(1-x4n)/[(1+x)(1-x2)(1+x3)....(1-x2n)]2 Find lim(x→-1)Pn ...

If a, b, c be in GP & logca, logbc, logab be in AP, then prove that the common difference of AP is 3/2 ...

lim(n→∞) [ 2/π (n+1)cos-1( 1/n )-n] ...

a,b,c are in AP & a2,b2,c2 are in HP, then prove that a=b=c or a,b,-c/2 are in GP ...

lim(n→∞) 1/1+n2 + 2/2+n2 +...+ n/n+n2 ...

Lim(n→∞) 23-1/23+1 . 33-1/33+1 . 43-1/43+1 ... n3-1/n3+1 ...

Find 1/2.4 + 1.3/2.4.6 + 1.3.5/2.4.6.8 +....till n terms ...

Find the summation s=x+x2+x4+x8.......till infinity ...

Note: This is a question for people from classes 7 to 10 A Helium balloon is accelerating up (yes, we all know this is possible. So this is not a hypothetical situation but a practical one). So, note these things: 1) The ball ...

Find f(5), given f'(x)=1+1/x and f(1)=1 ...

Find the lim(x→0) 1. [ Sinx/x ] 2. [sinx]/x 3. [lim(x→0) Sinx/x ] where [.] represents greatest integer function ...

Consider a matrix whose entries are integers. Adding a same integer to all entries on a same row, or on a same column, is called an operation. It is given that, for infinitely many positive integers n , one can obtain, throug ...

Let x,y,z be positive real numbers, satisfying the following inequality : (x+y+z)(\frac{1}{x}+ \frac{1}{y}+ \frac{1}{z}) < 10 Prove that x,y,z form sides of a triangle. If you know this , please don't post within a day. :) ...

Show that out of {[x,2x,..,(n-1)x]} there must be one which differ from an integer by at most 1/n . Where x is a given real number and n is a given positive integer. ...

Find all positive integers x and y satisfying the equation 3^x-2^y=7 ...

Find all real solutions to the system of equations: x+y=\sqrt{4z-1} ...(1) y+z=\sqrt{4x-1} ...(2) z+x=\sqrt{4z-1} ...(3) ...

Find the solutions to the system of equations in reals: x+\left \lfloor y \right \rfloor+\left \left \{ z\left. \right \} \right.=1.1 \left \lfloor x \right \rfloor+\left \{ y\left. \right \} \right.+z=2.2 \left \{ x\left. \r ...

1.Find all positive integers n, for which "2n+12n+2011n" is a perfect square. ...

A cylindrical tub contains water. We are only considering one axial plane of the cylinder (one that passes through the axis) The cylinder is now rotated about it's axis with constant angular velocity. Write the equation of th ...

1) n-factor is defined as: a) Number of moles of electrons either gained or lost per mole of reactant. b) Number of electrons either gained or lost per molecule of reactant. question: which is correct? A) a B) b C) both D) no ...

Vm = man's velocity (w.r.t. stationary frame of reference viz. ground) Vw = river's velocity (w.r.t. stationary frame of reference viz. ground) Vmw = man's velocity w.r.t. the river. Given, |Vmw| = |Vw| = v width of the river ...

Classify the 10 compounds given below into three groups: a) Aromatic. b) Anti-Aromatic. c) Non-Aromatic. Mention reason for every grouping! [1] *Image* *Image* *Image* *Image* *Image* *Image* *Image* *Image* *Image* *Image* ...