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- Let f(x)={x^3+x^2+10 x ,\ \ x<0-3sinx ,\ \ \ \ xgeq0 . Investigate x=0...
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- Consider P(x) to be a polynomial of degree 5 having extremum at x=-1,1...
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- Find the maximum perimeter of a triangle on a given base ' a ' and ...
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- If lim(x->a) f(x) = lim(x->a) [f(x)] ([.] denotes the greatest intege...
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- A function f is defined by f(x)=\ int0^picostcos(x-t)dt ,\ 0lt=xlt=2pi...
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- From a fixed point A on the circumference of a circle of radius r , th...
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- Show that for each a >0 the finction e^(-a x)dotx^a^2 has a maximum va...
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- Let f(x)=x^(3) +3(a-7)x^(2)+3(a^(2) -9) x-1. If f(x) has positive po...
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- Show that the surface area of a sphere is the same as that of the l...
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- Consider the function represented parametrically as x=a t^2,\ y=2a ...
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- Statement-1 : If a1,a2,a3,….. an are positive real numbers , whose pro...
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- Find a point on the curve x^2 + 2y^2 = 6, whose distance from the li...
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- For the circle x^(2)+y^(2)=r^(2), find the value of r for which the ar...
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- If f(x)=x^3+b x^2+c x+d and 0<b^2<c , then f(x) is a strictly increasi...
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- Prove that sinx+2xgeq(3x(x+1))/pi, AA x in [0,pi/2] (Justify the ine...
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- If P(x) is a polynomial of degree 3 satisfying p(-1)=10 ,p(1)=-6a n dp...
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- Let f(x) be a polynomial of degree 3 having a local maximum at x=-1...
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- e total number of local maxima and local minima of the function f(x) =...
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- Consider the function f:(-oo,\ oo)->(-oo,oo) defined by f(x)=(x^2-a...
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- Consider the function f:(-oo,oo)rarr(-oo,oo) defined by f(x)=(x^2-ax+1...
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