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13.5: Глава 13 Огляд вправи
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Знайти похідні $\vecs u(t), \, \vecs u′(t), \, \vecs u′(t)×\vecs u(t), \, \vecs u(t)×\vecs u′(t),$ і $\vecs u(t)·\vecs u′(t).$ знайти одиничний тангенс вектора. 16. \(\vecs r(t)=2\,\mathbf{\hat i}+t...Знайти похідні $\vecs u(t), \, \vecs u′(t), \, \vecs u′(t)×\vecs u(t), \, \vecs u(t)×\vecs u′(t),$ і $\vecs u(t)·\vecs u′(t).$ знайти одиничний тангенс вектора. 16. $\vecs r(t)=2\,\mathbf{\hat i}+t\,\mathbf{\hat j}+3t^2\,\mathbf{\hat k}$ для $0≤t≤1$ 19. $\vecs r(t)=(2\sin t)\,\mathbf{\hat i}−4t\,\mathbf{\hat j}+(2\cos t)\,\mathbf{\hat k}$ 20. $\vecs r(t)=\sqrt{2}e^t\,\mathbf{\hat i}+\sqrt{2}e^{−t}\,\mathbf{\hat j}+2t\,\mathbf{\hat k}$