# Recently Active Calculus Questions

• lim (cos1/2x - cos1/3x)/sin2x xâ†’0 ...
replied2008-11-07 20:06:40
• let f(x)=x2-1,xâ‰¤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 ...
replied2008-11-07 02:41:39
• diff tan-1[{âˆš(1+x2)-1}/x] wrt tan[-1(2xâˆš(1-x2)/(1-2x2)] at x=0... ...
replied2008-11-06 11:16:14
• Fiind area of the region: *Image* ...
replied2008-11-06 10:57:25
• lim ( 1- sin2x )/Î - 4x x->Î /4 ...
replied2008-11-06 09:39:27
• Why sin4x+cos4x has period Î /2 although f(x+Î )=f(x) ...
replied2008-11-06 09:25:01
• graph of-- y= [ln2(t3+1)]t2/(t3+1) ...
replied2008-11-06 07:58:13
• 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 ...
replied2008-11-06 05:20:15
• limit [(1+x)^1/x + e(x-1) ]/sin^-1(x) xâ†’0 ...
replied2008-11-06 04:18:13
• âˆ«1/(sin^2x+sinx+1) itz sin square x +sinx+1 m tryin it since an hr or two ...............:( ...
replied2008-11-05 22:01:13
• Find y such that it passes from (0,3) dy/dx-2y/(x+1)=(x+1)3 ...
replied2008-11-04 20:41:02
• d2y/dx2=x ln(dy/dx) what is the degree of the eqn.?? ...
replied2008-11-04 04:24:41
• 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 ...
replied2008-11-04 01:52:29
• the qn is ondefinite integral as the limit ofa sum/ integration using 1st principle lim n->âˆž{1/n + n2/(n+1)3 +n2/(n+2)3+.............+1/8n ny1 relpy as fast as possible ...
replied2008-11-03 22:42:50
• 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.... ...
replied2008-11-03 20:32:44
• f(x)= (sin2x + sinx -1)/(sin2x -sinx + 2) ...
replied2008-11-03 20:25:41
• 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 ...
replied2008-11-03 12:52:51
• 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) â‰ lim f(x) xâ†’2+ xâ†’2- d)nothing can be said ...
replied2008-11-03 12:46:48
• Solve 4{x} = x+ [x] [] is gint & {} is fractional part ...
replied2008-11-03 12:30:26
• 1.) âˆ«xtanxsecxdx/(tanx-x)2 2.) âˆ«2dx/((x-5)+(x-7))âˆš((x-5)(x-7)) = f(g(x)) +c, then a) f(x)=sin^-1x , g(x) = âˆš((x-5)(x-7)) b) f(x)=sin^-1x , g(x) = ((x-5)(x-7)) c) f(x)=tan^-1x , g(x) = âˆš(( ...
replied2008-11-03 04:20:50
• why cant f(x)=[x]+[-x] be differentiated even though f(x)=-1 for all x??? [x] represents the greatest integer function... ...
replied2008-11-02 12:30:10
• âˆ«xtanx dx can this be done!!! ...
replied2008-11-02 08:19:23
• 0âˆ«pi/4(etanx(secx-sinx))dx ...
replied2008-11-02 00:07:58
• 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 ...
replied2008-11-01 19:53:19
• 3/4âˆ«9/25dx/((1+âˆšx) x-x2 ) ...
replied2008-10-31 21:24:17
• 1 .check whether the function defined by f(x+m)=1+ âˆš[2f(x)-f2(x)] â€¦..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, â€¦â€¦ for all xER-{0,1}. 3. Find the d ...
replied2008-10-31 09:32:15
• 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. ...
replied2008-10-31 09:13:13
• find 0âˆ«12x5tan-1x2dx ...
replied2008-10-31 05:51:26
• if f(xy)=f(x)f(y) for all x,y in R. f'(1)=2 and f(4)=4 find f'(4) ...
replied2008-10-30 18:27:35
• Given, (LL=f(y),UL=f(x))âˆ«et dt = (LL=y,UL=x) âˆ«1/t dt, for all x,y belonging to (1/e2,âˆž) where f is continuous and differentiable function and f(1/e)=0. If g(x)={ ex, xâ‰¥k { ex2, 0<x< ...
replied2008-10-30 17:27:31