Recently Active Calculus Questions

lim (cos1/2x - cos1/3x)/sin2x x→0 ...

let f(x)=x2-1,x≤1 nd f(x)=k(x-1),x>1 then a)f is continuous for only finitely many values of k b)f is discontinuous at x=1 c)f is differentiable only when k=2 d)there r infinitely many values of k for whi ...

diff tan-1[{√(1+x2)-1}/x] wrt tan[-1(2x√(1-x2)/(1-2x2)] at x=0... ...

Fiind area of the region: *Image* ...

lim ( 1- sin2x )/Î - 4x x->Î /4 ...

Why sin4x+cos4x has period Î /2 although f(x+Î )=f(x) ...

graph of-- y= [ln2(t3+1)]t2/(t3+1) ...

1.) stat1: the function f(x)=(x2+x-2)(x2+2x-3) has local extremum at x=1. stat2: f(x)is continuous and differentiable and f'(1)=0. plz answer... i hope all of u here are familiar wid the options of asertion-re ...

limit [(1+x)^1/x + e(x-1) ]/sin^-1(x) x→0 ...

∫1/(sin^2x+sinx+1) itz sin square x +sinx+1 m tryin it since an hr or two ...............:( ...

Find y such that it passes from (0,3) dy/dx-2y/(x+1)=(x+1)3 ...

d2y/dx2=x ln(dy/dx) what is the degree of the eqn.?? ...

x+2|y|=3y where y=f(x),then f(x) is.... A)continuous everywhere B)diff everywhere C)discontinuous at x=0 D)none ...

the qn is ondefinite integral as the limit ofa sum/ integration using 1st principle lim n->∞{1/n + n2/(n+1)3 +n2/(n+2)3+.............+1/8n ny1 relpy as fast as possible ...

f(x)=[x]+[-x] so for integral values of x, f(x)=0 then f'(x)=0.....so hw come it cannot be diff at integral pts.... ...

f(x)= (sin2x + sinx -1)/(sin2x -sinx + 2) ...

statement1: let f:[0,4]-> R be a cont fn and diff in (0,4) then there exist some 'a' and 'b' in (0,4) where f2(4)-f2(0)=8f(a)f'(b). statement2: LMVT ...

f'(2+)=0 and f'(2-)=1 then a)fn is discontinuous at x=2 b)fn is continuous at x=2 c)lim f(x) ≠lim f(x) x→2+ x→2- d)nothing can be said ...

Solve 4{x} = x+ [x] [] is gint & {} is fractional part ...

1.) ∫xtanxsecxdx/(tanx-x)2 2.) ∫2dx/((x-5)+(x-7))√((x-5)(x-7)) = f(g(x)) +c, then a) f(x)=sin^-1x , g(x) = √((x-5)(x-7)) b) f(x)=sin^-1x , g(x) = ((x-5)(x-7)) c) f(x)=tan^-1x , g(x) = √(( ...

why cant f(x)=[x]+[-x] be differentiated even though f(x)=-1 for all x??? [x] represents the greatest integer function... ...

∫xtanx dx can this be done!!! ...

0∫pi/4(etanx(secx-sinx))dx ...

if f(x)and g(x) are two functons with all real no.s as their domain, then h(x)= (f(x)+ f(-x))(g(x) - g(-x))..is... i) always an odd function ii) an odd function when both the f and g are odd iii) an odd function when f is ...

3/4∫9/25dx/((1+√x) x-x2 ) ...

1 .check whether the function defined by f(x+m)=1+ √[2f(x)-f2(x)] …..for all x E R is periodic or not. 2. Find all functions f satisfying the identity, f(x)+ f((x-1)/x)=1+x, …… for all xER-{0,1}. 3. Find the d ...

find the smallest area by y=f(x), when f(x) is a polynomial of least degree satisfying lim(x->0) [1+(f(x)/x^3)]^(1/x)=e, and the circle x^2+y^2=2 above the x-axis. ...

find 0∫12x5tan-1x2dx ...

if f(xy)=f(x)f(y) for all x,y in R. f'(1)=2 and f(4)=4 find f'(4) ...

Given, (LL=f(y),UL=f(x))∫et dt = (LL=y,UL=x) ∫1/t dt, for all x,y belonging to (1/e2,∞) where f is continuous and differentiable function and f(1/e)=0. If g(x)={ ex, x≥k { ex2, 0<x< ...