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The given quantity of metal is to be cos...

The given quantity of metal is to be cost into a half cylinder with a rectangular base and semicircular ends. Show that in order that the total surface area may be minimum, the ratio of the length of the cylinder to the diameter of its semi-circular ends is `pi:(pi+2)dot`

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PRADEEP PUBLICATION-MODEL PAPER (2)-EXERCISE
  1. If f(x)={((x-5)/(|x-5|)+a" , if "xlt5),(a+b" , if "x=5),((x-...

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  2. Find the interval of increase and decrease of the function f(x)=log(1+...

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  3. Prove that the curves x=y^2 and xy=k cut at right angles* if 8k^2 =1

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  4. int (sin^-1x)/(1-x^2)^(3//2) dx

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  5. Evaluate: underset0 oversetpi int sinxdx .

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  6. Sketch the graph of the function: y=f(x)={(x, if, 0lexle1),(1/x, if, 1...

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  7. Solve the differential equation (d^2y)/(dx^2)=x+sinx given that when x...

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  8. There is a group of 50 people who are patriotic out of which 20 believ...

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  9. With the help of vector method, prove that,cosA=(b^2+c^2-a^2)/(2bc)

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  10. Experiments show that radium decomposes at a rate proportioanl to the ...

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  11. The following matrix depicts the number of students of a school who we...

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  12. The following matrix depicts the number of students of a school who we...

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  13. The following matrix depicts the number of students of a school who we...

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  14. A line with direction numbers <2,7,-5> is drawn to intersect the lines...

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  15. Find x and y if the point (x,-1,3), (3,y,1) and (-1,11,9) are collinea...

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  16. find the mean and variance of the probability distribution of the sum ...

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

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  18. Compute (AB)^-1 where A = [(1,3,3),(1,4,3),(1,3,4)] and B^-1 = [(2,1,...

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  19. Evaluate int(a)^(b)x^(2)dx as the limit of a sum.

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  20. A diet for a sick person must contain atleast 4000 units of vitamin, 5...

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