If r(t) = (tº, t, t²), find r’(t), T(1), r”(t), and r'(t) × r”(t). 9t³i+j+ 2tk r' (t) T(1) = = 9i+j + 2k √86 r"(t) 72t7i+0j + 2k = r'(t) × r²(t) = −(144t³ — 162t¹6)j + (72t7 — 81,¹6) k X
If r(t) = (tº, t, t²), find r’(t), T(1), r”(t), and r'(t) × r”(t). 9t³i+j+ 2tk r' (t) T(1) = = 9i+j + 2k √86 r"(t) 72t7i+0j + 2k = r'(t) × r²(t) = −(144t³ — 162t¹6)j + (72t7 — 81,¹6) k X
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:If r(t) = (tº, t, t²), find r’(t), T(1), r”(t), and r'(t) × r”(t).
9t³i+j+ 2tk
r' (t)
T(1)
=
=
9i+j+2k
√86
r"(t) 72t7i+0j + 2k
=
r'(t) × r²(t) = −(144t³ — 162t¹6)j + (72t7 – 817¹6) k
X
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