Mathematics, 12.02.2020 22:09 choatefarmsus
EXAMPLE 1 (a) Find the derivative of r(t) = (2 + t3)i + te−tj + sin(6t)k. (b) Find the unit tangent vector at the point t = 0. SOLUTION (a) According to this theorem, we differentiate each component of r: r'(t) = Correct: Your answer is correct. . (b) Since r(0) = Incorrect: Your answer is incorrect. and r'(0) = j + 6k, the unit tangent vector at the point (2, 0, 0) is T(0) = r'(0) |r'(0)| = j + 6k = .
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EXAMPLE 1 (a) Find the derivative of r(t) = (2 + t3)i + te−tj + sin(6t)k. (b) Find the unit tangent...
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