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An open box is to be made of a square sh...

An open box is to be made of a square sheet of tin with side 20 cm, by cutting off small squares from each comer and folding the flaps. Find the side of small square, which is to be cut off, so that volume of box is maximum.

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A square sheet of tin whose side is 18 cm to be made into a box without top by cutting off squares from each comer and folding up the flaps. What should be the side of the square to be cut off so that the volume of the box is maximum ?

A square sheet of tin of side 36 cm is to be made into a box without top by cutting off squares from each comer and folding up the flaps. What should be the side of the square to be cut off so that the volume of the box is maximum ?

A square sheet of tin of size 24 cm is to be made into a box without top by cutting off squares from each comer and folding up the flaps. What should be the side of the 'square to be cut off so that the volume of the box is maximum ?

A rectangular sheet of tin 45 cm x 24 cm is to be made into a box without top, by cutting off square from each corner and folding up the flaps. What should be the side of the square to be cut off so that the volume of the box is the maximum possible.

A square piece of tin of side 18 cm is to be made into a box without top by cutting a square from each comer and folding up the flaps to form a box. What should be the side of square to be cut off so that the volume of box is maximum and also find the volume of box ?

A square piece of tin of side 24 cm is to be made into a box without top by cutting a square from each comer and folding up the flaps to form a box. What should be the side of square to be cut off so that the volume of box is maximum also find the volume ?

A square piece of tin of side 24 cm is to be made into a box without top by cutting a square from each comer and folding up the flaps to form a box. What should be the side of square to be cut off so that the volume of box is maximum also find the volume ?

OMEGA PUBLICATION-PUNJAB BOARD - MATHEMATICS 2019-SERIES-B
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  2. If area of /\ABC is 12 square units and vertices are A (x, 2), B (4, -...

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  3. An open box is to be made of a square sheet of tin with side 20 cm, by...

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  4. Find the height of right circular cylinder of maximum volume that can ...

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  5. Find the image of point (3,-1,2) in line (x+1)/(3)=(y-3)/(4)=(z+2)/(5)

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  7. Maximise z = 22x+44y subject to the constraints x+y ge 3 , 3x + 8y l...

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  8. Maximise and Minimise z = 3x + 2y - 3 subject to the constraints: ...

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  9. Solve the following system of linear equations by matrix method : 4x +...

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  10. Using elementary transformations, find the inverse of matrix {:[(4,3...

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  11. Evaluate int"tan" x dx.

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  13. Find the integrating factor of differentiate equation x(dy)/(dx)+y=x"c...

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  14. Find the angle between the line x-1/3=3-y/-1=3z+1/6 and the plane 3x -...

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  15. If P(A) = 3P(B) = 5/7 where A and B are independent events then find P...

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  16. If A = [[2,1],[3,-5]] and f(x) = x^2 - 2x + 3, then find f(A).

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  17. If y=sin^-1((2x)/(1+x^2)), then find dy/dx.

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  18. Evaluate underset(2)overset(4)int(x^(2)-1)dx.

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  19. If y=("cos"x)^(x)+(x)^("cos"x) then find (dy)/(dx).

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  20. Verify Rolle's theorem for the function : y = x^3 - 2x^2 - 3x in the i...

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