Recently Active Calculus Questions

wat z d value of ∫ sin x dx ...

if A and B are hermitian prove AB-BA IS SKEW HERMIITAN ...

Prove that there exist exactly 2 non similar triangles ABC such that tanA + tanB + tanC = 100. ...

1)Let e be the eccentricity of a hyperbola x2/a2-y2/b2=1. and f(e) be the eccentricity of a conjugate hyperbola then then the value of the integral is *Image* 2) *Image* 3)The equation whose roots are reduced by 3 from the ro ...

If f(x)+f(x+a)+f(x+2a)...f(x+na)=0,where a>o,, then the period of f(x) is what? a> a b> (n+1)a c> a/(n+1) d> Non-periodic Please show me the method, sir. ps.:by the way, nishanta sir, i found your techniques to ...

Q. If f(x + f(y)) = f(x) + y for all x and y belonging to R, and f(0) = 1, then what is f(7)? Ans. Method 1: f(x + f(o)) = f(x)+0 or f(x+1)=f(x). so, f(0+1)=f(0)=1=f(1). similarly, f(1+1)=f(1)=1=f(2) . . . . so, f(7)=1. Mehto ...

What will the graph of following fuction look like: f(x)= sinx /(√1 + tan2x) + cosx/(√1 + cot2x) ? I simplified the above expression and it came , according to me, dow to f(x)= sin(2x). However, the answer is not similar ...

1) limx→0 x2 sin1/x 2) limx→0 xcos1/x 3) limx→∞ sinx/x 4) limx→∞ cosx/x ...

m,n belongs to I+ then lim x→0 sinXn/(sinX)m equals to a. 1 if n<m b. 0 if n=m c. n/m d. 0 if n>m ...

For what value of k does the function y= x3- 3(7-k)x2-3(9-k2)x+2 , x>0 has a point of maximum ? ...

If f(x)= x3 + ax2 + bx +c attains its local minima at certain negative real number , then then the signs of a2-3b , a , b respectively are a. + - - b.+ - + c. + + - d. + + + ...

If x1 and x2 are the solutions of ex2(sinx+cos x)=1/2 , where x1 ,x2≠0 , then the maximum number of the solutions of the equation ex2(sin x-cos x)=x lying between x1 and x2 can be a.2 b.0 c.1 d.none of these please give a s ...

find limit n→∞ cos(x/2) X cos(x/4) X cos(x/8)..............cos(x/2n) if f(x)= (1+2cosx)(1+2cos2x)(1+2cos4x)........(1+2cos32x) find f(2pi/13) ...

wat is the minimum value of 'a' such that the function f given by f(x)=x2+ax+1 is strictly increasing on (1,2) ...

Solve them quickly please--- 1.If f(x)=1+x2 and f[g(x)]=1+x2-2x3+x4,then determine the function g(x) alongwith its domain and range. 2.Let f:{x,y,z}-->{a,b,c} be a one-one function.It is known that only one of teh followin ...

Solve :- \int \left(a-x \right)\left(b-x \right)\left(c-x \right)...............\left(z-x \right)dx ...

f(x)=(sin3x + Asin2x +Bsinx) / x^5 (x is not equal to 0) is continuous at x=0. Without using L-Hospital or Series expansion, Find A and B ...

Please give a detailed difference between Injective and surjective function. ...

*Image* ...

lim ( (sin x)1/x +(1/x)sin x)=? x \rightarrow 0 ...

discuss the continuity of the following function...... f(x)=(sinx).(tanx).(cosx) sinx - 0 ≤ x ≤ π/4 tanx - π/4 < x ≤ 3π/4 cosx - 3π/4< x ≤ π pls help................. with solutions abt how u did it !!! pls ...

x = sin2t / cos 2t y= cos2t / cos 2t find the value of the product of the cube of y and the second derivative of y wrt x ...

lim x->2(-1)[x] where [x] is the greatest integer fn. is = A. 1 B. -1 C. +-1 D. none of these ...

How will the graph of f(x)=ln(x) look like, sir? ...

differentiate with respect to x sec^{-1}\frac{(x+1)}{(x-1)}+ sin^{-1}\frac{(x-1)}{(x+1)} ...

if x2+y2=t- 1/t and x4+y4= t2+ 1/t2 then find dy/dx ...

differentiate sin-1(2ax 1-a2x2 ) with respect to 1-a2x2 ...

what is theory of finite differences ?????????? ...

Let F:R->R be a function such that f(x)=x3-6x2+11x-6.Then f(x) is a. one-one and into b. one one onto c. many one into d. many one onto ...

lim ( x→ 0 ) [x sin(sinx) - sin2x]/x6= ? ...