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Find the radius of the smallest circular...

Find the radius of the smallest circular disk large enough to cover every isosceles triangle of a given perimeter L.

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Find the area of the shaded region in the diagram below where the given triangle is isosceles with vertices of base lying on axis of the radius perpendicular to the diameters of the two small semicircles

Find the perimeter of the given figure : BCDE is a square and ABC is an equilateral triangle.

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MOTION-MAXIMA AND MINIMA -EXERCISE - 4 (LEVEL - II)
  1. Find the radius of the smallest circular disk large enough to cover ev...

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  2. The total number of local maxima and local minima of the function f(x)...

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  3. Consider the function f:(-oo, oo) -> (-oo ,oo) defined by f(x) =(x^2...

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  4. Consider the function f:(-oo, oo) -> (-oo ,oo) defined by f(x) =(x^2...

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  5. Consider the function f : (-oo , oo) to (-oo , oo) defined by f(x) = (...

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  6. Let p(x) be a polynomial of degree 4 having extremum at x = 1, 2 and u...

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  7. The maximum value of the function f(x)=2x^(3)-15x^(2)+36x-48 on the se...

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  8. Let f,g and h be real-valued functions defined on the interval [0,1] b...

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  9. Let f be a function defined on R (the set of all real numbers) such th...

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  10. The number of distinct real roots of x^(4)-4x^(3)+12x^(2)+x-1=0

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  11. Let p(x) be a real polynomial of least degree which has a local maximu...

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  12. Let I RvecI R be defined as f(x)=|x|++x^2-1|dot The total number of po...

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  13. If f(x) = underset(0)overset(x)inte^(t^(2)) (t-2) (t-3) dt for all x ...

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  14. A rectangular sheet of fixed perimeter with sides having their lengths...

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  15. The function f(x)=2|x|+|x+2|-||x+2|-2|x|| has a local minimum or a lo...

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  16. Let f:RtoR and g:RtoR be respectively given by f(x)=|x|+1 and g(x)=x^(...

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  17. A cylindrical container is to be made from certain solid material with...

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  18. The least value of alpha in R for which 4alphax^(2)+(1)/(x)ge1, for al...

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