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A stone is dropped into a pond causing r...

A stone is dropped into a pond causing ripples in the form of concentric circles. The radius r of the outer ripple is increasing at a constant rate at 2 cm per second. When the radius is 5 cm find the rate of changing of the total area of the disturbed water?

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SURA PUBLICATION-APPLICATIONS OF DIFFERENTIAL CALCULUS-ADDITIONAL QUESTIONS
  1. A stone is dropped into a pond causing ripples in the form of concentr...

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  2. If a particle moves is a straight line according to s=t^(3)-6t^(2)-15t...

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  3. The law of linear motion of a particle is given by s=1/3t^(3)-16t, the...

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  4. If the rate of increase of s=x^(3)-5x^(2)+5x+8 is twice the rate of in...

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  5. The point on the curve y=x^(2) is the tangent parallel to X-axis is

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  6. The equation of the tangent to the curve y=x^(2)-4x+2 at (4, 2) is

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  7. Equation of the normal to the curve y=2x^(2)+3sinx at x = 0 is

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  8. The least value of a when f(x)=x^(2)+ax+1 is increasing on (1, 2) is

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  9. The value of lim(xto oo)e^(-x) is

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  10. The critical points of the function f(x)=(x-2)^(2/3)(2x+1) are

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  11. The equation of the tangent to the curve x=tcost,y=tsint at the origin...

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  12. In LMV theorem, we have f'(x(1))=(f(b)-f(a))/(b-a)" then "altx(1)

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  13. If the slope of the curve 2y^(2)=ax^(2)+b at (1, -1) is -1, then the v...

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  14. If the curves y=2e^(x)andy=ae^(-x) intersect orthogonally, then a =

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  15. The function -3x + 12 is function on R.

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  16. The function f(x)=x^(9)+3x^(7)+64 is increasing on

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  17. If x + y = 8, then the maximum value of xy is

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  18. The curve y=e^(x) is

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  19. lim(xto0)x/(tanx) is

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  20. The statement ''If f has a local extremum at c and if f'( c) exists th...

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  21. Identify the incorrect statement.

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