Recently Active Calculus Questions

multiple answer Mcq if In=0∫π/4 tann x dx then a)In+In-2=1/(n-1) b)1/2 x 1/(n+1)<In<1/2 x 1/(n+1) c)In-1+In+1=1/n d)(n-2) In=n In-2 ...

Consider f(x)= ax2+bx+c, for |x|≤1. a,b,c are real numbers. If |f(x)| ≤1, find the maximum value of |2ax+b|. ...

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find the inverse of the function x + sin(x) ...

why we take left and write limits and function at c to find the continuity of the function in case of split values of a given function that is of the type as intgrate f(x), when its value is =9 when x<=0 and is 2 when its ...

f:(0,infinity) such that f( x (f(y))= x2ya (aεR) find f(x) ...

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If f(x)=\frac{xln(1+sinx)}{ln(1+sin^{2}x)},x\neq 0 = 0, x = 0 Then the function (A) has an irremovable discontinuity at x = 0 (B) has a removable discontinuity at x = 0 (C) is continuous but not differentiable at x = 0 (D) is ...

let f(x) be a polynomial of degree 5 and with leading coefficient 2004 . suppose further , that f(1)= 1,f(2)=3,f(3)=5,f(4)=7 ,f(9)=9. then the value of f(6) is: a.120351 b.240591 c.100881 d.240491 i know we have 5 unknowns an ...

ques 1. Number of points where y=log(ax2+2b|x|+c) x2 is not defined where b2=ac and b<0 and c>1 are? ques 2. If f(x)=2x+|x|, g(x)=1/3(2x-|x|) and h(x)=f(g(x)), then the domain of sin-1(h(h(h(........h(h(x).....))) is? ( ...

show that the least perimeter of an isosceles triangle in which a circle of radius 'r' can be inscribed is 6√3r...???? ...

If f(x) = sin2x + sin2 (x+Î /3) + cosx . cos (x + Î /3) and g(5/4) = 1 , then: a. f(Î /12) = 5/4 b. gof (Î /10) = 1 c. gof is a constant function d. fog is a constant function ...

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find out ∫ x2 e-ax3 dx actually i have to use this integration to solve a question of physics i haven't yet, gone through calculus so please dont give any direct solution . it would be better if you use any kind of substitu ...

solve for x, min {2x+3, 4x2 } > 42x-1 ...

If f(x) = 2x + |x|, g(x) = 1/3 (2x - |x|) and h(x) = f(g(x)), then domain of sin-1(h(h(h(h........h.h(x)........)))) { in brackets.. h(x) is n times} is: a. [-1, 1] b. [-1, -1/2] U [1/2. 1] c. [-1, -1/2] d. [1/2, 1] ...

only for those who have some spare time..... find the polynomials f(x),g(x),h(x) if they exist mod(f(x))-mod(g(x))+h(x)={ -1 if x<-1 } { 3x+2 if -1≤x≤0 } { -2x+2 if x>0 } ...

Find all continuous functional equations f:R→R+ , such that if x,y and z are succesive in A.P., f(x), f(y) and f(z) are succesive terms in GP ...

Domain of the explicit form of the funtion y represented implicitly by the equation, (1+x)cos y - x2 = 0 is: a. (-1, 1] b. (-1, (1- 5 )/2] c. [(1- 5 )/2, (1+qrt]5 )/2] d. [0, (1- 5 )/2] plz explain the meaning of explicit and ...

If f(x) and g(x) are two polynomial such that the polynomial h(x) = xf(x3) + x2g(x6) is divisible by x2+x+1, then a. f(1) = g(1) b. f(1) = g(1) ≠0 c. f(1) = -g(1) ≠0 d. none of these ...

ISKO BANAO IN ALL THE POSSIBLE QUADRANTS DON'T DRAW IN ONLY 1 QUADRANT DRAW EVERYWHERE IT IS POSSIBLE!!!!!!!!!!!!!! y=2{x} simple but a good 1 ...

If a function has a breakpoint at a certain point in the domain, then should we say that the function is increasing or decreasing at that point ???????? Origin of the doubt :- Is (x+ 1/x) increasing at x=0 ??? L- = -∞ L+ = ...

F(x)=f(x)+f(1/x),whr f(x)=∫1x logt dt/1+t Then F(e) equals? ...

\lim_{n->infinity} \frac{1}{2n}[log(2nCn)] ...

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\lim_{n\rightarrow infinity } n_{C_{x}}\left(\frac{m}{n} \right)^{x}\left(1-\frac{m}{n} \right)^{n-x} ...

Plz giv me some nice sites where i can learn some calculus for competitive exams ...

The solution of the differential equation xy(∂2y/∂x2)+ x(∂y/∂x)2 + y∂y/∂x =0 is:- ...

FIND THE SOLUTION OF THE DIFFERENTIAL EQUATION 9∂2y/∂x2 + 12∂y/∂x =4y =0, given that y=1 & ∂y/∂x=0 when x=1 is ....?? ...