from Mathematics Continuity and Differentiability
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    Continuity and Differentiability

    Multiple Choice QuestionsShort Answer Type

    361. If space straight x equals straight a left parenthesis straight theta plus sinθ right parenthesis comma space straight y equals straight a left parenthesis 1 minus cosθ right parenthesis comma space fimd space dy over dx at space straight theta equals straight pi over 2.
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    362. If x=a sin 2t(1+os2t) and y=b cos2t(1-cos2t), show that
    open parentheses dy over dx close parentheses subscript straight t equals straight pi over 2 end subscript equals straight b over straight a.
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    363. FInd space dy over dx x equals straight a open parentheses cos space straight t plus log space tan straight t over 2 close parentheses comma space straight y equals straight a space sin space straight t.
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    364. Find space dy over dx space when space straight x space equals straight a space cosө comma space straight y space equals straight b space cosө space

    space space space space space space space space space space straight x space equals straight a space cosө comma space straight y space equals straight b space cosө therefore space dx over dθ equals negative straight a space sinθ comma space dy over dθ equals negative straight b space sinθ Now space dy over dx equals fraction numerator begin display style dy over dθ end style over denominator begin display style dx over dθ end style end fraction equals fraction numerator negative straight b space sinθ over denominator negative straight a space sinθ end fraction equals straight b over straight a
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    365. Find space dy over dx space when space straight x equals sin space straight t comma space straight y space equals cos space 2 straight t
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    366. Find space dy over dx when space straight x equals straight a space secө comma space straight y equals straight b space tanө space
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    367. Find space dy over dx when space straight x equals cosө minus cos 2 straight ө comma space straight y equals sinө minus sin 2 straight ө
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    368. Find space dy over dx when space straight x equals straight a left parenthesis straight ө minus sinө right parenthesis space comma straight y equals straight a left parenthesis 1 plus cosө right parenthesis
    92 Views
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    369. Find space dy over dx when space straight x space equals straight a space left parenthesis cosө plus straight ө space sinө right parenthesis comma space straight y space equals space straight a space left parenthesis sinө space minus space straight ө space cosө right parenthesis
    85 Views
    Answer

    Multiple Choice QuestionsLong Answer Type

    370. Find space dy over dx when space straight x equals fraction numerator sin cubed straight t over denominator square root of cos space 2 straight t end root end fraction comma space straight y equals fraction numerator cos cubed straight t over denominator square root of cos space 2 straight t end root end fraction
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