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A stone is dropped into a quiet lake and...

A stone is dropped into a quiet lake and waves move in circles at the speed of 5 cm/s. At the instant when the radius of the circular wave is 8 cm, how fast is the enclosed area increasing?

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PSEB-APPLICATION OF DERIVATIVES-Exercise
  1. The radius of a circle is increasing uniformly at the rate of 3 cm/s. ...

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  2. An edge of a variable cube is increasing at the rate of 3 cm/s. How fa...

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  3. A stone is dropped into a quiet lake and waves move in circles at the ...

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  4. The radius of a circle is increasing at the rate of 0.7 cm/s. What is ...

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  5. The length 'x' of a rectangle is decreasing at the rate of 5 cm per mi...

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  6. The length 'x' of a rectangle is decreasing at the rate of 5 cm per mi...

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  7. A balloon, which always remains spherical on inflation, is being infla...

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  8. A balloon, which always remains spherical has a variable radius. Find ...

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

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  10. A particle moves along the curve 6y = x^3+2. Find the points on the cu...

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  11. The radius of an air bubble is increasing at the rate of 1/2 cm/s. At...

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  12. A balloon, which always remains spherical, has a variable diameter 3/2...

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  13. Sand is pouring from a pipe at the rate of 12 cubic cm./sec. The falli...

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  14. The total cost C(x) in Rupees associated with the production of x unit...

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  15. The total revenue in Rupees received from the sale of x units of a pro...

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  16. Find the rate of change of the area of a circle with respect to its ra...

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  17. The total revenue in Rupees received from its sale of x units of a pro...

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  18. Show that the function given by f(x) = 3x + 17 is increasing on R.

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  19. Show that the function given by f(x) = e^2x is increasing on R.

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  20. Show that the function given by f(x) = sinx is increasing in (0,pi/2...

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