Solved: 5152 Show that the graphs of r1(t) and r2(t) intersect at thepoint P. Find, to
Chapter 12, Problem 52(choose chapter or problem)
Show that the graphs of \(\mathbf{r}_{1}(t)\) and \(\mathbf{r}_{2}(t)\) intersect at the point \(P\). Find, to the nearest degree, the acute angle between the tangent lines to the graphs of \(\mathbf{r}_{1}(t)\) and \(\mathbf{r}_{2}(t)\) at the point \(P\).
\(\mathbf{r}_{1}(t)=2 e^{-t} \mathbf{i}+\cos t \mathbf{j}+\left(t^{2}+3\right) \mathbf{k}\)
\(\mathbf{r}_{2}(t)=(1-t) \mathbf{i}+t^{2} \mathbf{j}+\left(t^{3}+4\right) \mathbf{k} ; P(2,1,3)\)
Equation Transcription:
𝐫1
𝐫2
𝐫1
𝐫2
𝐫1𝐢
𝐣
𝐤
𝐫2𝐢
𝐣
𝐤;
Text Transcription:
r_1(t)
r_2(t)
P
r_1(t)
r_2(t)
P
r_1(t)=2e^-ti+cos tj+(t^2+3)k
r_2(t)=(1-t)i+t^2j+(t^3+4)k; P(2,1,3)
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