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Find dy/dx, if x and y are connected par...

Find `dy/dx`, if x and y are connected parametrically by the equations, given below without eliminating the parameter.
`x cos theta-cos2theta, y = sin theta - sin 2 theta`

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MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
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  2. If f(x)= {(kx^2,,x,<,2),(3,,x,ge,2):} is continuous at x = 2, then the...

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  5. Examine the continuity of the function f(x) = 2x^2 - 1 at x=3

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  6. Examine the function f(x) = 2x^2-5 for its continuity at the point x =...

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  7. Is the function defined by f(x) = |x|, a continuous function?

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  8. Find the point at which the function f(x) = [x] is not continuous in (...

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  9. Examine the following function for continuity: f(x) = x-5

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  10. Examine the following functions for continuity: f(x) = x^3 + x^2-1

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  13. Examine the following function for continuity: f(x) = |x-5|

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  14. Prove that the following functions are continuous at all points of the...

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  17. Discuss the continuity of the following function: f(x) = sinx + cosx

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  18. Discuss the continuity of the following function: f(x) = sinx cdot cos...

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  19. Discuss the continuity of the following function: f(x) = sinx cdot cos...

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  20. Discuss the continuity of the following functions: f(x) = (sinx)/(co...

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  21. Prove that f(x) = |sin x| is continous at all point of its domnin.

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