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Find an angle theta, where 0 lt theta lt...

Find an angle `theta`, where `0 lt theta lt (pi)/(2)` which increases twice as fast as its sine.

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The correct Answer is:
`theta = (pi)/(3)` or `60^(@)`
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KUMAR PRAKASHAN-APPLICATION OF DERIVATIVES -SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (SHORT ANSWER TYPE QUESTIONS)
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  2. Two men A and B start with velocities v at the same time from the junc...

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  3. Find an angle theta, where 0 lt theta lt (pi)/(2) which increases twic...

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  4. Find the approximate value of (1.999)^(5).

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  5. Find the approximate volume of metal in a hollow spherical shell whose...

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  6. A man, 2m tall, walks at the rate of 1(2)/(3) m/s towards a street lig...

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  7. A swimming pool is to be drained for cleaning. If L represents the num...

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  8. The volume of a cube increases at a consant rate. Prove that the incre...

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  10. Find the condition that the curves 2x=y^(2) and 2xy = k intersect orth...

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  11. Show that the curves xy=a^(2) and x^(2)+y^(2)=2a^(2) touch each other.

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  12. Find the co-ordinates of the point on the curve sqrt(x)+sqrt(y)=4 at w...

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  13. Find the angle of intersection of the curves y = 4-x^(2) and y=x^(2).

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  14. Prove that the curves y^(2)=4x and x^(2)+y^(2)-6x+1=0 touch each other...

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  17. Show that a point at which the line (x)/(a)+(y)/(b)=1 touches to the c...

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  18. Show that f(x)=2x+cot^(-1)x+log(sqrt(1+x^(2))-x) is increasing in R.

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  19. Show that for a ge 1, f(x)=sqrt(3)sin x - cos x - 2ax + b is decreasin...

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