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In a given semi circle of diameter 4 cm ...

In a given semi circle of diameter 4 cm a rectangle is to be inscribed . The maximum area of the rectangle is …………..

A

2

B

4

C

8

D

16

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The correct Answer is:
B
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PREMIERS PUBLISHERS-APPLICATIONS OF DIFFERENTIAL CALCULUS-Problems For Practice (Choose the correct answer)
  1. The angle between y^(2) = x and x^(2) = y at the origin is

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  2. The curve y=ax^3 + bx^2 + cx + d has a point of inflexion at x=1 , the...

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  3. In a given semi circle of diameter 4 cm a rectangle is to be inscribed...

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  4. underset(x rarr 0)(lim) (2x)/(tan 2x) is

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  5. underset(x rarr 0)(lim) (a^(x) - b^(x))/(c^(x) - d^(x)) is

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  6. If s = t^(3) - 4t^(2) + 7 the velocity when the acceleration is zero i...

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  7. Which of the following functions is increasing in (0 , oo) ?

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  8. The slope of the tangent to the curve y = 3x^(2) + 4 cos x " at " x = ...

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  9. The stationary point of f(x) = x^((3)/(5)) (4 -x) occurs at x=

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  10. The angle between the curve x^(2) - y^(2) = 8 and (x^(2))/(25) + (y^(2...

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  11. The radius of a cylinder is increasing at the rate of 2 cm/sec and the...

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  12. underset(x rarr oo)(lim) (x^(2))/(e^(x)) is

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  13. f is a differentiable function defined on an interval I with positive ...

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  14. For what values of x the rate of increase of x^(3) - 2x^(2) + 3x + 8 i...

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  15. The least possible perimeter of a rectangule of area 400 m^(2) is

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  16. The equation of the normal to the curve y = x^(3) " at" (1, 1) is

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  17. The equation of the tangent to the curve y = (x^(3))/(5) " at " (-1, -...

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  18. Which of the following is concave down:

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  19. If f(a) = 2, f'(a) = 1, g(a) = -1, g' (a) = 2. Then underset(x rarr a)...

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  20. The velocity v of a particle moving along a straight line when at a di...

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