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Model Papers
(i) A stone is dropped into a quite lake and waves move in circles at the speed of 5 cm/s. At the instant when the radius of circular wave is 8cm, how fast is the enclosed area increasing?
cbse
class12
modelpaper
2012
sec-c
q28
math
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asked
Jan 23, 2013
by
thanvigandhi_1
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Related questions
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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Sand is pouring from a pipe at the rate of \( 12 cm^3/s.\) The falling sand forms a cone on the ground in such a way that the height of the cone is always one-sixth of the radius of the base. How fast is the height of the sand cone increasing when the height is 4 cm?
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The surface area of a spherical bubble of water increasing at the rate of \( 2 \: cm^2/sec.\) Find the rate at which the volume of the water bubble is increasing at that instant when its radius is 6 cm.
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If a young man rides his motorcycle at 25 km/hour, he had to spend Rs.2 per km on petrol. If he rides at a faster speed of 40 km/hour, the petrol cost increases at Rs.5 per km. He has Rs.100 to spend on petrol and wishes to find what is the maximum distance he can travel within one hour. Express this as L.P.P. and solve it graphically.
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Calculate the area of the region enclosed between the circles \( x^2+y^2=9 \: and \: (x-3)^2+y^2=9.\)
cbse
class12
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Using integration, find the area of region enclosed between the circles \( x^2+y^2=4 \: and \: (x-2)^2+y^2=4.\)
cbse
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Jan 3, 2013
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Draw a rough sketch of the region enclosed between the circles \( x^2 + y^2 = 4 \) and \( (x-2)^2 + y^2 = 1\) . Using integration, find the area of the enclosed region.
cbse
class12
modelpaper
2012
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Dec 25, 2012
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