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Find two positive numbers x and y such t...

Find two positive numbers x and y such that `x+y = 60` and `xy^3` is maximum.

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OMEGA PUBLICATION-HP BOARD MARCH 2017-SERIES -C
  1. Solve the following system of linear equations by matrix method : 3x -...

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  2. Find the equations of the tangent and normal to the hyperbola x^2/a^2 ...

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  3. Find two positive numbers x and y such that x+y = 60 and xy^3 is maxim...

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  4. Find the area of region bounded by The parabola y^(2)=4ax and its la...

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  5. Area lying between the curve y^2 = 4x and the line y = 2x is :

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  6. Find the shortest distance between the lines vecr=hati+2hatj+3hatk+lam...

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  7. Find the coordinates of the points where the line through (5,1,6) and ...

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  8. Solve the following linear programming problem graphically : Maximize ...

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  9. The principal value of cos^(-1)(1/sqrt 2) is ............. .

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  10. If A and B are symmetric matrices of same order then AB - BA is a :

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  11. The drivateive of tan45^(@) is

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  12. Find the approximate change in the volume V of a cube of side x metres...

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  13. An antiderivative of sin mx is

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  14. The degree of the differential equation (d^(3)y)/(dx^(3))+2((d^(2)y)/(...

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  15. Find the projection of the vector hati+3hatj+7hatk on the vector 7hati...

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  16. The dot product of the two vectors veca and vecb is

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  17. The distance of the plane 2x-y+2z+3=0 from the point (3,2,1) is

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  18. If A and b are any two events such that P(A)+P(B)-P(A "and"B)=P(A), t...

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  19. By using elementary transformation find the inverse of the matrix : A ...

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  20. Find the values of x and y from the equation 2[(x,5),(y,-3)]+[(3,-4),(...

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