СРОЧНО (див фото)

СРОЧНО (див фото)

  • 1)x_t = 2sin sqrt {t} * cos sqrt {t} * frac {1} {2sqrt {t}} = frac {1} {sqrt {t}} sin sqrt {t} * cos sqrt {t}
    y_t = 2cos sqrt {t} (-sin sqrt {t}) frac {1} {2 sqrt {t}} = - frac {1} {sqrt {t}} sin sqrt {t} * cos sqrt {t}
    y_x = frac {y_t} {x_t} = frac {-frac {1} {sqrt {t}} sin sqrt {t} * cos # 10; sqrt {t}} {frac {1} {sqrt {t}} sin sqrt {t} * cos sqrt {t}} = -1

    2)x_t = frac {cost} {sint} = ctgt
     y_t = 2 ^ t * ln2
     y_x = frac {y_t} {x_t} = frac {2 ^ t * ln2} {ctgt} = 2 ^ t * ln2 * tg ( t)

  • 1) x (t) = 2sint * cost * 1 / 2t = (sintcost) / t
    y (t) = - 2costsint * 1 / 2t = (- sintcost) / t
    y (x) = y (t) / x (t) = (sintcost) / t: (- sintcost) / t = -1
    2) x (t) = cost / sint = stgt
    y (t) = 2 ^ t * ln2
    y (x) = 2 ^ t * ln2: ctgt = 2 ^ t * tgt * ln2

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− 1 = 1

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