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Let f(x)={(sinx^2)/xx!=0 0x=0, then f^(p...

Let `f(x)={(sinx^2)/xx!=0 0x=0,` then `f^(prime)(0^+)+(0^-)` has the value of equaion to 0 (b) 1 (c) 2 (d) None of these

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RESONANCE DPP-JEE MAINS-All Questions
  1. int (x^2+2)/(x^4+4) dx=

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  2. int0^pi||sinx|-|cosx||dx is equal to (a)tan((3pi)/8) (b) tan(pi...

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  3. Let f(x)={(sinx^2)/xx!=0 0x=0, then f^(prime)(0^+)+(0^-) has the value...

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  4. The equation of a line 4x-4y-z+11=0=x+2y-z-1 can be put as x/2=(y-2)/1...

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  5. If y=a t^2+2b t+c&t=a x^2+2b x+c , then (d^3y)/(dx^3) equals 24 a^2(a ...

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  6. If vec d= vec axx vec b+ vec bxx vec c+ vec cxx vec a is non-zero ve...

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  7. If [ vec a vec b vec c]=2 and vec x=2 vec a+3 vec b+ vec c , vec y= v...

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  8. Let u=int0^1("ln"(x+1))/(x^2+1)dxa n dv=int0^(pi/2)ln(sin2x)dx ,t h e ...

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  9. int(-1/(sqrt(3)))^(1/(sqrt(3)))(cos^(-1)((2x)/(x^2+1))+tan^(-1)((2x)/(...

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  10. Find the integral value of n for which lim(x->0)(cos^2x-cosx-e^xcos...

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  11. If y=cos^(-1)sqrt((sqrt(1+x^2)+1)/(2sqrt(1+x^2))),t h e n(dy)/(dx) i...

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  12. If vec a= hat i+ hat j+ hat k , vec b=4 hat i+3 hat j+4 hat k and ve...

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  13. 1)int(-pi/2)^pi sin^(-1) (sinx) dx 2)int(-pi/2)^(pi/2) (-pi/2)/(sqr...

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  14. if f(x) = lim(n->oo) 2/n^2(sum(k=1)^n kx)((3^(nx)-1)/(3^(nx)+1)) where...

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  15. int(sqrt(1+x^2)-x)^n dx

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  16. The expression [(1+sin(pi/8)+icos(pi/8))/(1+sin(pi/8)-icos(pi/8))]^8 i...

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  17. if the roots of the equation z^(2) + ( p +iq) z + r + is =0 are real ...

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  18. The expression in the vector form for the point vec r1 of intersectio...

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  19. If the function f(x)=(x^2)/2+lnx+a x is always monotonically increasi...

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  20. If int0^a(dx)/(sqrt(x+a)+sqrt(x))=int0^(pi/8)(2tantheta)/(sin2theta)dt...

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