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- The maximum value of x^4e^ (-x^2) is (A) e^2 (B) e^(-2) (C) 12 e...
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- Find two positive numbers x and y such that x+y=60\ a n d\ x^3y is max...
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- Rectangles are inscribed inside a semi-circle of radius rdot Find the ...
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- The tangent to the parabola y=x^2 has been drawn so that the abscissa ...
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- A sheet of area 40m^2 is used to make an open tank with square base. F...
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- A right circular cylinder of maximum volume is inscribed in a given ri...
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- Show that semi-vertical angle of right circular cone of given surfa...
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- If the sum of the lengths of the hypotenuse and another side of a righ...
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- Find the point (alpha,beta) on the ellipse 4x^2+3y^2=12 , in the first...
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- A rectangle is inscribed in an equilateral triangle of side length 2a ...
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- Tangents are drawn to x^2+y^2=16 from the point P(0, h)dot These tange...
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- f(x)=x^(1/5) at x=0 has inflection point. y"\ DdotNdotEdot\ at x=0
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- f(x)=x^3a t\ x=0 has inflection point y ' '=0 at x=0 and change sign.
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- f(x)=|x^2-1| has no inflection point in its domain as no tangent ca...
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- Number of points of inflection for f(x)=x^2e^(-|x|) is 1 (b) 2 (...
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- Find the value of a if x^3-3x+a=0 has three distinct real roots.
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- Prove that there exist exactly two non-similar isosceles triangles A B...
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- Find the set of value of m for the cubic x^3-3/2x^2+5/2=(log)(1/4)(...
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- The set of value(s) of a for which the function f(x)=(a x^3)/3+(a+2)x^...
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- The number of values of k for which the equation x^3-3x+k=0 has two di...
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