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Find the equation of normal to the cure ...

Find the equation of normal to the cure `y=sin^(2)x" at "(pi/3,3/4)`.

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SURA PUBLICATION-APPLICATIONS OF DIFFERENTIAL CALCULUS-ADDITIONAL QUESTIONS
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  12. Prove that x/(1+x)ltlog(1+x)" for "xgt0.

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  13. Find the equation of normal to the cure y=sin^(2)x" at "(pi/3,3/4).

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  14. Verify LMV theorem for f(x)=x^(3)-2x^(2)-x+3 in [0, 1].

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  15. The ends of a rod AB which is 5 m long moves along two grooves OX, OY ...

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  16. A ball is thrown vertically upwards, moves according to the law s=13.8...

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  17. If Rolle's theorem holds for f(x)=x^(3)+bx^(2)+ax+5 on [1, 3] with c=(...

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  18. Find the angle of intersection of the curves 2y^(2)=x^(3)andy^(2)=32x.

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  19. Prove that the semi-vertical angle of a cone of maximum volume and of ...

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  20. Show that the curves 4x=y^(2)and4xy=k cut at right angles if k^(2)=512...

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