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prove theta area of triangle formed by t...

prove theta area of triangle formed by tangent to the curve `xy =c^2 `and co-ordinate axes is constant

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RESONANCE-APPLICATION OF DERIVATIVES-Self Practice Problems
  1. Find the slope of the normal to the curve x=1-asintheta,y=bcos^2thetaa...

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  2. find the equation of the tangent and normal to the given curves...

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  3. prove theta area of triangle formed by tangent to the curve xy =c^2 an...

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  4. A curve is given by the equations x = at^2 &y=at^3 A variable pair of ...

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  5. How many tangents are possible from (1, 1) to the curve y-1=x^3. Also ...

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  6. Find the equation of tangent to the hyperbola y=(x+9)/(x+5) which pas...

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  7. Radius of a circle is increasing at rate of 3 cm//sec Find the rate ...

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  8. A ladder 5 m long is leaning against a wall. The bottom of the ladd...

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  9. Water is dripping out of a conical funnel of semi-vertical angle 45^@ ...

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  10. A hot air balloon rising straight up from a level field is tracked by ...

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  11. Find the intervals of monotonicity of the following functions. (i...

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  12. Let f(x) =x - tan^(-1)x. Prove that f(x) is monotonically increasing ...

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  13. If f(x)=2e^x-ae^(-x)+(2a+1)x-3 monotonically increases for AA x in R,...

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  14. Find the values of a for which the function f(x)=(a+2)x^3-3a x^2+9a x-...

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  15. For each of the following graph comment on monotonically of f(x) ...

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  16. Let f(x)=x^3-3x^2+ 3x + 4, comment on the monotonic behaviour of f(x) ...

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  17. Draw the graph of function f(x)={underset([x] " "1 le x le 2)(x " ...

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  18. In each of following graphs identify if x= a is point of local maxi...

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  19. Examine the graph of following functions in each case identify the p...

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  20. Find the points of local maxima or minima of following functions...

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