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

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RESONANCE ENGLISH-APPLICATION OF DERIVATIVES-Self Practice Problems
  1. Find the slope of the normal to the curve x=1-asintheta , y=b\ cos^...

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

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

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  4. A curve is defined parametrically by the the equation x=t^(2) and y=t^...

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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. A tangent to the hyperbola y=(x+9)/(x+5) passing through the origin in

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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. Find the range of values of a if f(x)=2e^x-a e^(-x)+(2a+1)x-3 is monot...

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  14. Let f(x) =e^(2x) -ae^(x)+1.Prove that f(x) cannot be monotonically d...

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

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

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

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

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

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

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