Recently Active Calculus Questions

Hey frnds.... plz help me out here........ i tried to do in a graphical method.... but can't succeed..... f(x) = [x] + 1 , x≠nπ ; n= 0 , + - 1 , + -2,...... = 3 otherwise g(x) = x2+1 ; x≠3,x≠0 3 ; x=0 5 ; x=3 then... L ...

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 ...

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. ...

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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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) ...

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 ...

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 ...

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 ...

A function f:R→ R satisfies sin x.cos x(f(2x+2y) - f(2x-2y)) = cos x.sin y(f(2x+2y) + f(2x-2y)) if f ' (0) = 1/2 then: (a) f '' (x) - f ' (x) = 0 (b) 4f '' (x) + f(x) = 0 (c) f '' (x) + f ' (x) = 0 (d) 4f '' (x) - f ' (x) = ...

Let y = f(x) be a differential function for all x ε R . Then which of the following is always true : (a) d2y/dx2 - ( dx/dy )3 =0 (b) d2y/dx2 + ( dx/dy )3 . d2x/dy2 =0 (c) d2y/dx2 - ( dy/dx )3 =0 (d) none of these Can u plz h ...

HELLO ALL. THIS THREAD IS A REVIVAL OF b555 ' S INTEGRATION SIKHO THREAD. THAT HAS BEEN A VERY SUCCESSFUL THREAD , PARTICIPATED BY MANY TIITians. BUT , STILL MANY QUESTIONS OF THAT THREAD ARE REMAINING PENDING. SO, I'M POSTIN ...

1) ∫ 1/1+x8 dx 2) ∫ 1/1+x350 dx Please help me..............i require the steps to solve this...... ...

let f(x) = ([a]2-5[a]+4)x3 - (6{a}2-5{a} + 1)x - (tanx)sgnx, be an even function for all x belongs to R, then sum of all possible values of "a" is (where [] and {} denotes greatest integer function and fractional part functio ...

∫ dx/x22(x7-6) plzzz solve this frnds... ...

Hey friends...plz help me in this..... f(x) = x6 + ax5 + bx4 + cx3 + dx2 + ex + f f(1) = 1, f(2) = 2, f(3) = 3, f(4) = 4, f(5) = 5, f(6) = 6 then f(7) = ?? ...

Q1->the total number of solution of sin 3.14x=|log|x||??(3.14=pie) Q2->what is odd and even extension?? Q3->total number of ways of factorising the number of 676 in 2 factors that are prime to each other?? Q4-> to ...