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Find the relation between 'a' and 'b' if...

Find the relation between 'a' and 'b' if the function `f` defined by
`f(x)={(ax+1,xle3),(bx+3,x>3):}` is continuous.

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A N EXCEL PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
  1. Find all points of discontinuity of f, where f is defined by f(x)={(x+...

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  2. Is the function defined by f(x)={(x+5","ifxle1),(x-5","ifxgt1):} a con...

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  3. Find the relation between 'a' and 'b' if the function f defined by f...

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  4. Is the function defined by f(x)=x^2-sinx+5 continuous at x=pi?

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  5. Discuss the continuity of the following functions: f(x)=sinx+cosx

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  6. Discuss the continuity of the following functions: f(x)=sinx-cosx

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  7. Discuss the continuity of the following functions: f(x)=sinx.cosx

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  8. Find the values of k so that function f is continuous at the indicated...

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  9. Find the values of k so that function f is continuous at the indicated...

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  10. Prove that the function defined by f(x)= cosx^2 is a continuous f...

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  11. Show that the function f(x)=|cosx| is a continuous function.

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  12. Find all the points of discontinuity of f defined by f(x)=|x|-|x+1|

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  13. Differentiate sin(x^2+5) w.r.t.x

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  14. Differentiate cos(sinx)w.r.t.x

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  15. Differentiate sec(tan(sqrtx)) w.r.t.x

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  16. Differentiate sin(ax+b)/(cos(cx+d)) w.r.t.x

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  17. Differentiate cos(x^3)sin^2(x^5) w.r.t.x

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  18. Differentiate 2sqrtcot(x^2) w.r.t.x

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  19. Differentiate cos(sqrtx) w.r.t.x

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  20. Differentiate the following w.r.t.x 2sin^-1x+tan^-1x+1

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