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A rectangular sheet of fixed perimeter with sides having their lengths in the ratio `8: 15` is converted into anopen rectangular box by folding after removing squares of equal area from all four corners. If the total area of removed squares is 100, the resulting box has maximum volume. Then the length of the sides of the rectangular sheet are 24 (b) 32 (c) 45 (d) 60

A

`24`

B

`32`

C

`45`

D

`60`

Text Solution

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The correct Answer is:
A, C
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RESONANCE-APPLICATION OF DERIVATIVES-Exersise-3 Part I
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  9. Let a in R and let f: R to R be given by f(x) =x^(5) -5x+a. then

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  10. The slope of the tangent to the curve (y-x^5)^2=x(1+x^2)^2 at the poin...

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  12. Let f,g:[-1,2]rarr RR be continuous functions which are twice differen...

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  13. Let f: R to (0 ,oo)" and " g :R to R be twice differentiable function...

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  14. Which of the following options is the only INCORRECT combination ?

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  15. Which of the following options is the only CORRECT combination

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  16. Which of the following options is the only CORRECT combination ?

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  18. If f:RR-> RR is a differentiable function such that f(x) > 2f(x) f...

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  19. then

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  20. For every twice differentiable function f: R->[-2,\ 2] with (f(0))^...

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