5. Show that the curve \( r(t) = (\ln t)i + (t \ln t)j + tk \) is tangent to the surface \( xz^2 - yz + \cos xy = 1 \) at \( (0, 0, 1) \). (10%)
阿摩線上測驗
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阿摩線上測驗
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5. Show that the curve \( r(t) = (\ln t)i + (t \ln t)j + tk \) is tangent to the surface \( xz^2 - yz + \cos xy = 1 \) at \( (0, 0, 1) \). (10%)