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VMC MODULES ENGLISH-DIFFERENTIAL CALCULUS 2-JEE Advanced (Archive)
- The number of distinct real roots of x^(4) - 4x^(3) + 12 x^(2) + x - ...
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- Let f be a function defined on R (the set of all real numbers) such th...
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- The maximum value of the expression 1/(sin^2theta+3sinthetacostheta+5c...
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- The maximum value of the function f(x)=2x^3-15 x^2+36 x-48 on the set ...
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- A cylindrical container is to be made from certain solid material with...
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- The slope of the tangent to the curve (y-x^5)^2=x(1+x^2)^2 at the poin...
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- Let C be the curve y^(3) - 3xy + 2 =0. If H is the set of points on th...
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- Let fa n dg be differentiable on [0,1] such that f(0)=2,g(0),f(1)=6a n...
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- if |f(x1)-f(x2)|<=(x1-x2)^2Find the equation of tangent to the curve y...
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- The curve y=a x^3+b x^2+c x+5 touches the x-axis at P(-2,0) and cuts t...
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- Tangent at a point P(1) [other than (0,0)] on the curve y=x^(3) meets ...
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- Find the equation of the normal to the curve y=(1+x)^y+sin^(-1)(s i...
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- Find the equation of tangents to the curve y=cos(x+y),-2pilt=xlt=2pi t...
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- The set of all x for which log(1+ x) le x is equal to …… .
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- The function y=2x^2-log(x) is monotonically increasing for values of x...
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- Prove that for x in [0, (pi)/(2)], sin x + 2x ge (3x(x + 1))/(pi).
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- Using the relation 2(1−cosx)<x^2 ,x=0 or prove that sin(tanx)≥x,∀ϵ[0,...
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- Let -1leple1, show that the equation 4x^(3)-3x-p=0 has a unique root i...
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- Let f(x)={{:(xe^(ax)",", x le0),(x+ax^2-x^3",",x gt 0):} where a is po...
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- Show that 2sinx+tanx≥3x, where 0≤x< π/2
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