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The function f(x) is defined by f(x)={x...

The function `f(x)` is defined by `f(x)={x^2+a x+b\ \ \ ,\ \ \ 0lt=x<2 ,\ \ \ \ \3x+2\ \ \ ,\ \ \ 2lt=xlt=4 ,\ \ \2a x+5b\ \ \ ,\ \ \ x>4` f is continuous them determine the value of a and b

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RD SHARMA ENGLISH-CONTINUITY-All Questions
  1. The function f(x)={(x^2)/a\ \ \ \ ,\ \ \ if\ 0lt=x<1\ \ \ \ \ \ \ \a\ ...

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  2. f(x)={x+sqrt2asinx,0ltxltpi/4 and 2xcotx+b , pi/4lexltpi/2 and acosx-b...

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  3. The function f(x) is defined by f(x)={x^2+a x+b\ \ \ ,\ \ \ 0lt=x<2 ,...

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  4. If f(x)=(tan(pi/4-x))/(cot2x) for x!=pi/4, find the value which can be...

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  5. Discuss the continuity of the function f(x)={2x-1 ,ifx<2, (3x)/...

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  6. Find dy/dx if y= x-y-2x^2 .

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  7. Prove that the function f(x)={(sinx)/x\ \ \ ,\ \ \ x<0,\ \x+1\ \ \ ,...

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  8. Show that the function defined by g(x)=x-[x] is discontinuous at all i...

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  9. Find the derivative if f(x)=sinx+cosx

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  10. Find the derivative of f(x)=sinx-cosx

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  11. Find f '(x) if f(x)=sinxcosx

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  12. Find f'(x) if f(x)=cos(x^2)

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  13. Find dy/dx if x+x^7=2y

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  14. Find all the points of discontinuity of f defined by f(x)" "= "|" "x...

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  15. Determine if f defined byf(x)={x^2sin(1/x) , ifx!=0, 0 ifx=0 is a con...

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  16. Given the function f(x)=1/(x+2) . Find the points of discontinuity of ...

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  17. Find all point of discontinuity of the function f(t)=1/(t^2+t-2), wher...

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  18. Define continuity of a function at a point.

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  19. What happens to a function f(x) at x=a , if (lim)(x->a)f(x)=f(a)

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  20. Find f(0) , so that f(x)=x/(1-sqrt(1-x)) becomes continuous at x=0 .

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