Recently Active Calculus Questions

• The inverse of the function f(x)=frac{{{e}^{x}}-{{e}^{-x}}}{{{e}^{x}}+{e}^{-x}}}+2 is given by a) {{log }_{e}}{{left( frac{x-2}{x-1} ight)}^{frac{1}{2}}} b) {{log }_{e}}{{left( frac{x-1}{3-x} ight)}^{frac{1}{2}}} c) {{log }_{ ...
• If f :Nâ†’N such that f(f(x))=3x; Then find f(2013) ...
replied2014-05-01 08:09:40
• Let R = {(1, 3), (2, 2), (3, 2)} and S = {(2, 1), (3, 2), (2, 3)} be two relations on set A = {1, 2, 3}. Then RoS = a) {(1, 3), (2, 2), (3, 2), (2, 1), (2, 3)} b) {(3, 2), (1, 3)} c) {(2, 3), (3, 2), (2, 2)} d) {(2, 3), (3, 2 ...
• R is a relation from {11, 12, 13} to {8, 10, 12} defined by y = x - 3 . Then {R^{ - 1}} is a) {(8, 11), (10, 13)} b) {(11, 18), (13, 10)} c) {(10, 13), (8, 11)} d) None of these ...
• If varphi (x) = {a^x}, then {{ varphi (p)} ^3} is equal to a) phi(3p) b) 3varphi (p) c) 6phi(p) d) 2phi(p) ...
• If then f(x),f(y) - frac{1}{2}[fleft({frac{x}{y}} ight) + f(xy)] = a) frac{1}{2} b) 2 c) 0 d) 1 ...
• Let f(x)=(1+{{b}^{2}}){{x}^{2}}+2bx+1 and m(b) the minimum value of f(x) for a given b. As b varies, the range of m(b) is a) [0,,1] b) left( 0,left. frac{1}{2} ight] ight. c) left[ frac{1}{2},,,1 ight] d) (0,,1] ...
• f(x)=cos sqrt{x}, correct statement is a) f(x) is periodic & its period =sqrt{2}pi b) f(x) is periodic & its period =4{{pi }^{2}} c) f(x) is periodic & its period =sqrt{pi } d) f(x) is not periodic ...
• Lim Sin.Log x2 xâ†’0 Find the value using L hospital rule. ...
replied2014-04-27 09:06:16
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replied2014-04-23 06:02:15
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replied2014-04-13 22:59:40
• How to understand which variable is a function of which other variable. For eg:- In the formula : h = ut - (1/2)g(t^2) the variable h is a function of t How to make similar interpretations in case of other formulas? Can anyon ...
• âˆ« cos 5x+ cos 4x/1-2cos3x ...
replied2014-03-20 04:03:44
• integrate 1/1+x^4 ...
replied2014-03-13 05:14:22
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replied2014-03-08 22:45:38
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replied2014-03-08 22:45:10
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replied2014-03-07 08:39:00
• If x is a +ve number then , âˆ« xÏ€ /x-1 dx ...
• Which of the following represents the same graph as {x}={y} a) tan(πy)=tan(πx) b) sin(πy)=sin(πx) c) cos(πy)=cos(πx) d) None of these ...
• âˆ« x2/x4+x2-2 dx ...
replied2014-02-17 02:17:57
• show that ------- Lt (2+x)sin(2+x) - 2sin2 /x = 2cos2 + 2sin2 xâ†’ 0 ...
replied2014-02-14 20:20:37
• calcullate : Lt asinx-xsina /ax2-ax2x xâ†’a. ...
replied2014-02-14 08:38:28
• âˆ« sin(n+ 1/2 )x/sinx .dx. Integration from 0 to Ï€. n is a natural number. ...
replied2014-02-14 05:53:28
• f(x) is defined for x > âˆ’1 and has a continuous derivate. If f satisfies f(0) = 1, fâ€²(0) = 0; (1 + f(x)) fâ€²â€²(x) = 1 + x. If x is positive then fâ€²(x) is (A) always positive (B) always negative (C) always non-negat ...
replied2014-02-05 04:44:07
• tan-1(2x+1/(1-4x)) ...
replied2014-01-30 04:50:20
• find dy/dx if- y=sin2(cot-1(âˆš(1+x)/âˆš(1-x)) ...
replied2014-01-30 04:49:06
• tan-1((âˆš(1+x)-âˆš(1-x))/(âˆš(1+x)+âˆš(1-x))) ...
replied2014-01-30 04:48:35
• if g(x)=-âˆš(25-x2) then Lt (g(x)-g(1))/x-1 =? xâ†’1 ...
replied2014-01-15 19:18:43
• If f:R o R,,f(x)=2x-1 and g:R o R, g(x)={{x}^{2}} then (gof),(x) equals ...