**Problem Statement:**Let $\vec{r}(t) = \langle 2t^3 + 3, t^5 + 3t^4, -4\ln(6t) \rangle$.Find a parametric equation of the line tangent to $\vec{r}(t)$ at the point $(19, 80, -9.94)$.The parametric equations are specified as follows:\[x(t) = 19 + 24t\]\[y(t) = \_\_\_\_\]\[z(t) = \_\_\_\_\]

Answered: Image /qna-images/answer/fb3a6b03-1cfa-496c-ad6e-b34905ed22e5.jpg

Answered: Let r(t) =< 2t³ + 3, t5 + 3t¹, −4…

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter8: Polar Coordinates And Parametric Equations

Section8.CT: Chapter Test

Problem 8CT

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Let r(t) =< 2t³ + 3, t5 + 3t¹, −4 ln(6t) > Find a parametric equation of the line tangent to r(t) at the point (19, 80, -9.94) x(t) = 19 + 24t y(t) = z(t) =