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Find the points of local maxima or local minima, if any, of the following function, using the first derivative test. Also, find the local maximum or local minimum values, as the case may be: `f(x)=cosx ,0

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RD SHARMA ENGLISH-MAXIMA AND MINIMA-All Questions
  1. Show that the cone of the greatest volume which can be inscribed in a ...

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  2. Find the points of local maxima or local minima, if any, using firs...

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  3. Find the points of local maxima or local minima, if any, of the foll...

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  4. Determine the points on the curve x^2=4y which are nearest to the poin...

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  5. The total area of a page is 150c m^2dot The combined width of the marg...

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  6. A straight line is drawn through a given point P(1,4)dot Determine the...

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  7. The strength of a beam varies as the product of its breadth and square...

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  8. The given quantity of metal is to be cost into a half cylinder with a ...

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  9. A particle is moving in a straight line such that its distance s at an...

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  10. A wire of length 20m is to be cut into two pieces. One of the places ...

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  11. A beam is supported at the two ends and is uniformly loaded. The be...

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  12. Determine two positive numbers whose sum is 15 and the sum of whose ...

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  13. Show that the right circular cylinder, open at the top, and of give...

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  14. Find the volume of the largest cylinder that can be inscribed in a s...

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

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  16. A square piece of tin of side 18 cm is to be made into a box withou...

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  17. Find both the maximum and the minimum value of 3x^4-8x^3+ 12 x^2-48 x+...

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  18. Show that f(x)=sin x(1+cosx) is maximum at x=pi/3 in the interval [0...

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  19. Show that the triangle of maximum area that can be inscribed in a give...

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  20. The sum of the surface areas of a cuboid with sides x ,2x and x/3 and ...

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