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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

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.3: Implicit Differentiation
Problem 1YT: Find dydx if x2+y2=xy.
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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
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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