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2.(3.4) Find the local extrema of the following function subject to the constraint 3x²+2y² = 1. (1) f(x, y) (2) f(x, y) = 3x - 2y = Y 3.(4.1) Let the position of an object at time t be given by c(t) = (t³, cost, e²), t≥ 0. (1) Find the velocity v(t) and the acceleration a(t) of the object. (2) Find ||c' (t)|| and ||c' (t)||2. dt

2.(3.4) Find the local extrema of the following function subject to the constraint 3x²+2y² = 1. (1) f(x, y) (2) f(x, y) = 3x - 2y = Y 3.(4.1) Let the position of an object at time t be given by c(t) = (t³, cost, e²), t≥ 0. (1) Find the velocity v(t) and the acceleration a(t) of the object. (2) Find ||c' (t)|| and ||c' (t)||2. dt

Advanced Engineering Mathematics
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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2.(3.4) Find the local extrema of the following function subject to the constraint 3x²+2y² = 1. (1) f(x, y) (2) f(x, y) = 3x - 2y = Y 3.(4.1) Let the position of an object at time t be given by c(t) = (t³, cost, e²), t≥ 0. (1) Find the velocity v(t) and the acceleration a(t) of the object. (2) Find ||c' (t)|| and ||c' (t)||2. dt
Transcribed Image Text:2.(3.4) Find the local extrema of the following function subject to the constraint 3x²+2y² = 1. (1) f(x, y) (2) f(x, y) = 3x - 2y = Y 3.(4.1) Let the position of an object at time t be given by c(t) = (t³, cost, e²), t≥ 0. (1) Find the velocity v(t) and the acceleration a(t) of the object. (2) Find ||c' (t)|| and ||c' (t)||2. dt
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