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

A stone is dropped into a quiet pond and waves spread in the form of concentric circles outward from the point where it strikes at a speed of `4 "inch" //sec`. When the radius of the wave-ring is 3 ft ,the enclosed area is increasing at the rate of

A

`2pi sq. ft.// sec.`

B

`pi sq.ft //sec.`

C

`3pi sq. ft // sec.`

D

`4pi sq.ft // sec.`

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MARVEL PUBLICATION-APLICATIONS OF DERIVATIVES-MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - II : CHAPTER 12)
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  5. If the circumference of a circle at the rate of 0.2 cm //sec, then, wh...

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  6. A stone is dropped into a quiet pond and waves spread in the form of c...

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  7. Perimeter of square increases at the rate of 0.4 cm// sec. When the si...

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  8. Each side of an equilateral triangle increases at a uniform rate of 0....

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  9. If the surface area of a cube increases at the rate of 0.6cm^(2) //sec...

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  10. If V denotes the volume and S is the surface area of a sphere. If radi...

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  11. Water is poured into an inverted cone of semi-vertical angle 30^(@) at...

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  12. A ladder 10 m long leans against a house. When its foot is 6 m from th...

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  13. If y=(log x) - (2)/(x), x=(1)/(2), deltax =10 ^(-8), then delta y ~~…

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  14. If 1^(@) =0.0174^(c), then tan (45^(@) 50')~~…

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  15. If diameter of a sphere is 2 cm with error 0.082 mm, then approximate ...

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  16. If a wire of length l, with error delta l, is bent into an equilatera...

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  17. if radius of a sphere is r with error delta r , and S is its surface ...

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  18. If 1^(@) =0.018^(c), then sin^(2) (45 ^(@) 2')~~…

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  19. A point P moves along the curve y=x^(3). If its abscissa is increasing...

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