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PREMIERS PUBLISHERS-APPLICATIONS OF DIFFERENTIAL CALCULUS-Problems For Practice (Answer the following question)
- A missile fixed from ground level raises x metres vertically upwards ...
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- A water tank has the shape of an invertd circular cone with base radiu...
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- At a particular instant ship A is 100 km west of ship B, ship A is sai...
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- A particle is fired straight up from the ground to each a height of x ...
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- Find the equation of tangent and normal to the curve y = x^(2) + 3x + ...
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- For what value of x the tangent of the curve y = x^(3) - 3x^(2) + 2x -...
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- Find the angle between the curves, (x^(2))/(8) + (y^(2))/(2) = 1 and (...
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- Find the equation of the tangent to the curve x^(2) + y^(2) = 5^(2) wh...
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- Find the equation of normal to y = x^(3) -3x that is parallel to 2x + ...
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- Verify Rolle's theorem for f(x) = sqrt(1 -x^(2)), -1 le x le 1
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- Using Rolle's theorem find the point on the curve y=x^(2)+1,-2lexle2 w...
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- Verify mean value theorem for the function f(x) = x^(3) - 5x^(2) 2x i...
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- Expand f(x) = e^(3x) on a maclaurin's series
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- Evaluate: underset(x rarr 2)(lim) (sin pi x)/(2 -x)
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- Evaluate: underset(x rarr oo)(lim) (x^((1)/(2)) -2 tan^(-1) ((1)/(x)))...
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- Evaluate: underset(x rarr 0)(lim) x^(sin x)
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- Prove , using mean value theorem, that |sin alpha -sin beta | le| alph...
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- Expand f(x) = (1)/(x) about x =2 upto four terms
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- Evaluate underset(theta rarr 0)(lim) (1- cos m theta)/(1- cos n theta)
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- Evaluate: underset(xrarr0)lim xlog x
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