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Find the point where the tangent line to the curve 7(?) = (V? +3,ln(?² +3),t) at (2, In 4,1) 5. %3D intersects the plane 6x-z =3. Verify your answer using technology to plot the space curve F(t), the point (2, In 4,1), the equation of the tangent line you found, and the the point of intersection you are giving as your final answer. The graph will let you know if your answer is correct or not. You do NOT need to include the graphs here.

Find the point where the tangent line to the curve 7(?) = (V? +3,ln(?² +3),t) at (2, In 4,1) 5. %3D intersects the plane 6x-z =3. Verify your answer using technology to plot the space curve F(t), the point (2, In 4,1), the equation of the tangent line you found, and the the point of intersection you are giving as your final answer. The graph will let you know if your answer is correct or not. You do NOT need to include the graphs here.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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5. Find the point where the tangent line to the curve \( \vec{r}(t) = \left\langle \sqrt{t^2 + 3}, \ln(t^2 + 3), t \right\rangle \) at \( (2, \ln 4, 1) \) intersects the plane \( 6x - z = 3 \). Verify your answer using technology to plot the space curve \( \vec{r}(t) \), the point \( (2, \ln 4, 1) \), the equation of the tangent line you found, and the point of intersection you are giving as your final answer. The graph will let you know if your answer is correct or not. You do NOT need to include the graphs here.
Transcribed Image Text:5. Find the point where the tangent line to the curve \( \vec{r}(t) = \left\langle \sqrt{t^2 + 3}, \ln(t^2 + 3), t \right\rangle \) at \( (2, \ln 4, 1) \) intersects the plane \( 6x - z = 3 \). Verify your answer using technology to plot the space curve \( \vec{r}(t) \), the point \( (2, \ln 4, 1) \), the equation of the tangent line you found, and the point of intersection you are giving as your final answer. The graph will let you know if your answer is correct or not. You do NOT need to include the graphs here.
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