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Find (dy)/(dx) when x = a cos theta a...

Find `(dy)/(dx)` when
`x = a cos theta and y = b sin theta `

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`- b cot theta//a `
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ICSE-VECTORS SCALARS ELEMENTARY CALCULUS -UNSOLVED PROBLEMS
  1. Differentiate w.r.t x sqrt(x) (2x+3)^(2)//sqrt(x+1)

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  2. If x = a ( t+ sin t) and y = a (1- cos t) " find " (dy)/(dx)

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  3. Find (dy)/(dx) when x = a cos theta and y = b sin theta

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  4. Find (dy)/(dx) when x = a sec theta and y = b tan theta

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  5. Find the velocity of a particle moving on a line at t = 3 seconds , if...

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  6. Find the velocity of a particle moving on a line at t = 3 seconds , if...

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  7. At time t , the displacement of a particle moving in a straight line ...

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  8. A car is running on a straight road . The distance travelled and time...

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  9. The side of a square sheet of a metal is increasing at 3 cm per minut...

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  10. A stone is dropped into a quiet pond and waves move in circle at a s...

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  11. A particle starts rotating from rest according to the formula theta ...

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  12. The area of dot of ink in cm^(2) is growing such that after 5s , A = ...

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  13. A particle starts rotating from rest according to the formula theta = ...

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  14. Integrate the following w.r.t x sqrt(x)

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  15. Integrate the following w.r.t x 2//x^(3//2)

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  16. Integrate the following w.r.t x e^(mx)

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  17. Integrate the following w.r.t x 2^(x)

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  18. Integrate the following w.r.t x e^(2x+1)

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  19. Integrate the following w.r.t x 1//(1+sinx)

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  20. Integrate the following w.r.t x cos^(2)(x//2)

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