Q2 (999 points) Let u(t) = (cost, sint, t), and suppose v(t) is a vector-valued function such that v(π/3) = (1, −2,2), v'(π/3) = (1.1, 0.6,0.2). Using the identities for differentiating vector-valued functions, calculate to four significant figures the following quantities, at t = π/3: (A) (2u+t2v)', (B) v. ·· (u × v)', (C) (vu²)'.

Q2 (999 points) Let u(t) = (cost, sint, t), and suppose v(t) is a vector-valued function such that v(π/3) = (1, −2,2), v'(π/3) = (1.1, 0.6,0.2). Using the identities for differentiating vector-valued functions, calculate to four significant figures the following quantities, at t = π/3: (A) (2u+t2v)', (B) v. ·· (u × v)', (C) (vu²)'.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.6: Additional Trigonometric Graphs

Problem 77E

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