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If/Given that → F(t)=(5t+3,3t²,8-4t³), Find: - a) The first derivative: b) The first derivative: c) The unit tangent vector when (t = 2): T(2) d) The second derivative: e) The cross product: f) The dot product: g) The dot product: F'2 F'(t)×7'' (t) F'(t).F"(t) F'(2) F¹ (2)

If/Given that → F(t)=(5t+3,3t²,8-4t³), Find: - a) The first derivative: b) The first derivative: c) The unit tangent vector when (t = 2): T(2) d) The second derivative: e) The cross product: f) The dot product: g) The dot product: F'2 F'(t)×7'' (t) F'(t).F"(t) F'(2) F¹ (2)

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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If/Given that a) The first derivative: b) The first derivative: c) The unit tangent vector when (t = 2): T (2) d) The second derivative: F"(t) e) The cross product: F'(t) × F¹' (t) f) The dot product: F'(t)-F"(t) g) The dot product: F'2-F¹2) -→ F(t)=(5t+3,31²,8-4t³), Find: F'(t) F'2
Transcribed Image Text:If/Given that a) The first derivative: b) The first derivative: c) The unit tangent vector when (t = 2): T (2) d) The second derivative: F"(t) e) The cross product: F'(t) × F¹' (t) f) The dot product: F'(t)-F"(t) g) The dot product: F'2-F¹2) -→ F(t)=(5t+3,31²,8-4t³), Find: F'(t) F'2
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