Recently Active Mathematics Questions

find : limit x tends to infinity ( ( root of ( x + root x ) ) + root x ) ...

lim x→0 [(sin signum(x))/signum(x)] where [] is GIF?? options are given (a)0 (b)1 (c)1/2 (d) does nt exsist Q2 Let {x} denote the fractional part of x then lim x→0 ({x})/tan({x}) is equal to=?? Q3. lim x→0 (1-cos(1-cosx ...

Let f:X →Y be a function defined by f(x) = asin(x+π/4)+bcosx +c. If c is both one-one and onto, find the sets X and Y ...

tan -1 ( 1/2r2 ) can ne 1 tell hw do i break the above exp in a factor of 2 i.e., in the form of (a - b) so dat i can evaluate the limits easily..... ...

prove that the solution(s) of f(x) = inverse of f(x) lie either on the line y = x or on a line whose slope is -1. ...

can some one plz tell me what is a palindrome & what kind of sums on palindromes come in iitjee. ...

1. What is probability that axx+bx+c=0 has a.real roots b. roots in (1,2) 2. What is condition that axx+bx+c=0 has a. roots in (1,2) b. has roots in (8055,8055.55) ...

CAN ANYONE SOLVE THE FOLLOWING: ∫ x /dx ...

prove or disprove that the sequence{an}={( n+1/n-1 )n} is converging. ...

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i have just started knowing laplace transfrom but i dont have much matheamtical background in it just using to solve electrical circuits but while coming across the laplace transform of some time domain fuctions i am noticing ...

1. let f: R→R. then f is differentiable on R if - a. | f(x) - f(y) | ≤ k| x-y| , for all x,y belong to R nd some k >0 b | f(x) - f(y) | ≤ k| x-y|1/2 , for all x,y belong to R nd some k>0 c. | f(x) - f(y) | ≤ k ( ...

let be a real valued function satisfying f:[a,b]\rightarrow [a,b] \\ a,b \in \mathrm{R} 1)continous in [a,b] f^2(a)-f^2(b)=a^2-b^2 prove that f(x).f'(x)=x for some x \in [a,b] P.S. RICKY IS PROHIBTIED FROM ANSWERING ...

Hey friends plz help me out in this sum.... i 've been trying it for many hrs but i cud not find the exact method of approach..... Tr = r/1-3r2+r4 , then Lim <summation>Tr ( from r=1 to n) n→∞ I tried to do tis sum ...

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Is zero (0) a positive no., negative or both? Why is the set of non-negative reals defined as [0,∞) and negative reals as (-∞, 0)? ...

Find an 8 digit no. whose 1st digit tells how many zero(s)are there, 2nd tells how many one(s)are there, 3rd digit tells how many two(s) are there and so on in the number. ...

Q.)The value of ‘a’ fr wch the area of triangle included between the axes and any tangent 2 the curve xay=Лa is constant……..{this is a qstn of arihant difrntial calculus….obj qstn no.26} Options- a) ½ b)1 c)3/2 d) ...

There are 5 ships in a port. 1. The Greek ship leaves at six and carries coffee. 2. The ship in the middle has a black chimney. 3. The English ship leaves at nine. 4. The French ship with a blue chimney is to the left of a sh ...

q) if the tangent at P of the curve y2=x3 intersects the curve again at Q and the straight line OP,Oq makes angles A,B with the x-axis ,where O is the origin then (tan A/tanB) = a)-2 b)-2 c)2 d) 21/2 ...

*** Q3 is dbt only.....rest i have done... *** Q1 Determine sign of roots of equation x2+(3-2a)x-3a+2=0 Q2 If a,b,c are odd integers prove that both roots of ax2+bx+c=0 can not be rational Q3 ax2+bx+c=p has both roots integer ...

find the value of summation \sum_{r=0}^{2008}\left [ \frac{2^r}{3} \right ] \\ \\\textup{where [.] is GIF} ...

if f(x) is continuos from R→R and attains only irrational values l *Image* then= plz help me out ...

f(x)=[x]+[x+1/3]+[x+2/3],where [] is G.I.F and x belongs to R.find the number of points of discontinuty of f(x) in[-1,1]? and mentipon the points?draw the graph.?? plz anwer with full explantion. number of points carry 1 mark ...

if a function f: R→A given by f(x) = ex-e-|x|/ex+e|x| is surjection, find A ...

Three boxes contain 600 balls each. The first box contains 600 identical red balls, the second box contains 600 identical white balls and the third box contains 600 identical blue balls. From these three boxes, 900 balls are ...

If G is the centroid and I the in-centre of the triangle, with vertices A(-36,7), B(20,7) and C(0,-8), then, find the value of GI. ...

F(X+Y) + F(X-Y)=2F(X)F(Y),X,Y ≡R AND F(0)=K?? THEN WHICH IS TRUE?? A)F IS EVEN IF K=1 B)F IS ODD IF K=0 C)F IS ALWAYS ODD D)NONE OF THESE ...

f(x) = (2x-Ï€)3 + 2x - cos x the value of d/dx (f-1x) at x=Ï€ (a) 3Ï€2 + 2 (b) -2 (c) 1/3Ï€2 + 2 (d) 1/3 ...

domain of : cosec-1[1+sin2x] [.] : Greatest integer function ...