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PRADEEP PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE
- A kite is moving horizontally at a height of 141.5 m. If the speed of ...
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- For what x, sinx increases half as fast as x?
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- A particle moves along the curve 6y = x^3+2. Find the points on the cu...
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- A man 160 cm tall, walks away from a source of light situated at the t...
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- A man, 2 m tall, walks at the rate of 1 (2)/(3) m/sec towards a street...
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- A ladder 5 m long is leaning against a wall. The bottom of the ladder ...
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- Water is leaking from a conical funnel at a uniform rate of 4 cm^3//se...
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- Water is leaking from a conical funnel of semi-vertical angle pi/4 at ...
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- Find the marginal cost and the marginal revenue when x = 10 , the tota...
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- The total cost C(x) in Rupees, associated with the production of x uni...
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- The radius of a cylinder is increasing at the rate of 2m/sec and its h...
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- An airforce plane is ascending vertically at the rate of 100 (km)/h....
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- A spherical ball of salt is dissovlging water in such a manner that th...
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- If the area of a circle increases at a uniform rate, then prove that t...
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- A swimming pool is to be drained for cleaning. If L represents the num...
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- Prove that the function f(X) = ax + b is increasing iff a > 0.
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- Show that the function f given by f(X) = 7x - 3 is strictly increasing...
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- Show that the function f (x) = (x)/(1+|x|) is a strict increasing func...
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- Show that the function f(x) = x -(1)/(x) is a strict increasing functi...
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- Show that f(x) = 2x+Cot^-1 x +log(sqrt(1+x^2)-x) is increasing in R.
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