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- The distance S metres moved by a particle traveling in a straight line...
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- If R(x) rupees is the total revenge received from the sale of x tables...
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- The radius of a spherical balloon is decreasing at the rate of 10 cm ...
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- At what point of the ellipes 16x^2+9y^2=400, does the ordinate decrea...
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- A particle moves along the curve 6y = x^(3) +2. Find the points on the...
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- A ladder 16 cm long is leaning against a wall. The bottom of the ladde...
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- Water is leaking from a conical funnel at the rate of 5 cm^3/sec. If t...
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- Show that f(x)=(1/2)^x is strictly decreasing on R.
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- Show that : tanx -x is strictly increasing on (0,pi/2).
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- Show that the following function is strictly increasing :f(x)=x^2,x>0.
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- Find the intervals on which the following function is strictly increas...
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- Find the intervals on which the following function is strictly increa...
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- Find the intervals on which the following function is strictly increa...
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- FInd the slopes of the tangents and normals to the following curve: x=...
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- Show that the tangents to the curve y=x^2-5x+6 at the point (2,0) and ...
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- Find the equations of the tangent and normal to the curve y=x^2-4x-5 a...
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- Find the equation of the tangent to the ellipse x^2/a^2+y^2/b^2=1 at (...
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- For the curve y = 4x^(3) – 2x^(5) , find all the points at which the t...
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- FInd the equation of the normal to the curve 3x^2-y^2=8 which is para...
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- Show that the curve xy=a^2 and x^2+y^2=2a^2 touch each other.
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