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A twice differentiable function f(x)is d...

A twice differentiable function f(x)is defined for all real numbers and satisfies the following conditions `f(0) = 2; f'(0)--5 and f '' (0) = 3`. The function `g(x)` is defined by `g(x) = e^(ax) + f (x) AA x in R`, where 'a' is any constant If `g'(0) + g''(0)=0`. Find the value(s) of 'a'

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CENGAGE PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-All Questions
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  2. If the function f(x) defined as f(x) defined as f(x)={3,x=0(1+(a x+b x...

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  3. A twice differentiable function f(x)is defined for all real numbers an...

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  4. If y = y(x) and it follows the relation e^(xy) + y cos x = 2, then fin...

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  5. If y=e^(-x)cosxa n dyn+kn y=0,w h e r eyn=(d^n y)/(dx^n)a n dkn are c...

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  6. If y^(3)-y=2x, then (x^(2)-(1)/(27))(d^(2)y)/(dx^(2))+x(dy)/(dx)=

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  7. f(x)=sin^(-1)(x-1)+cos^(-1)(x-2), then domain of f(x) is

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  8. In the function f(x)=[(x-2)^3/a]sin(x-2)+acos(x-2), (where [.] denote...

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  9. Let g(x)=[(3x^2-4sqrtx+1, x<1),(ax+b, x>=1)) If g(x) is continuous and...

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  10. If f is an even function such that lim(hrarr0)(f(h)-f(0))/h has some f...

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  11. Solve 2[x]=x+{x},where [.] and {} denote the greatest integer function...

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  12. Number of points where f(x)=|x sgn(1-x^2)| is non-differentiable is...

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  13. Let f(x) be differentiable for real such that f'(x)lt0" on "(-4,6) a...

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  14. Number of point where function f(x) defined as f:[0,2pi] rarrR,f(x)={{...

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  15. The differential coefficient of sin^(-1)((4sin2x+3cos2x)/5)with respec...

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  16. Let g(x)=f(x)sinx ,w h e r ef(x) is a twice differentiable function on...

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  17. If f(x)=(log)x(lnx),t h e nf^(prime)(x) at x=e is equal to 1/e (b) e ...

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  18. If f(x-y)=f(x).g(y)-f(y).g(x) and g(x-y)=g(x).g(y)+f(x).f(y) for all x...

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  19. If x e^(x y)-y=sin^2x then (dy)/(dx)a tx=0 is a. 0 b. 1 c. -1 d. none ...

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  20. The right hand derivative of f(x) = [x] tanpix at x = 7 is (where [.] ...

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