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The volume of a sphere is increasing at ...

The volume of a sphere is increasing at the rate of 3 cubic centimeter per second. Find the rate of increase of its surface area, when the radius is 2 cm.

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-XII Boards-All Questions
  1. Find the distance between the parallel planes 2x-y+2z+3=0a n d4x-2y+4z...

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  2. Find (dy)/(dx) at x=1, y=pi/4 if sin^2 y+cos xy=k

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  3. The volume of a sphere is increasing at the rate of 3 cubic centimeter...

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  4. Show that the functionf(x) = 4x^3-18x^2+ 27x – 7 is always increasing ...

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  5. Find the vector equation of the line passing through the point A(1, 2,...

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  6. If A is a skew-symmetric matrix of order 3, then prove that det A = 0...

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  7. Prove that if E and F are independent events, then so are the events E...

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  8. A small firm manufactures necklaces and bracelets. The total number of...

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  9. int1/(x^2-4x+8)dx

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  10. Prove that tan(pi/4+1/2 cos^-1(a/b))+tan(pi/4-1/2 cos^-1(a/b))=(2b)/a

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  11. Using properties of determinants, prove the following: |xx+y x+2y\...

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  12. Find the value of c in Rolle’s theorem for the function f(x) = x^3– 3...

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  13. Differentiate the function (sin x)^x+ sin^(-1) sqrtx with respect to...

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  14. The volume of a cube is increasing at the rate of 9cm3/sec. How fas...

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  15. Evaluate: int(2x)/((x^2+1)(x^2+2))dx

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  16. Evaluate: int0^pi(xsinx)/(1+cos^2x)\ dx

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  17. Prove that x^2-y^2=c(x^2+y^2)^2 is the general solution of differe...

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  18. Show that the function f(x) = x^3– 3x^2 + 6x – 100 is increasing on R

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  19. The x-coordinates of a point on t line joining the points Q(2,2,1)a...

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  20. The random variable X can the values 0, 1, 2, 3, Give P(X = 0) = P(X =...

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