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

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.

Chapter14: Discrete Dynamical Systems

Section14.3: Determining Stability

Problem 13E: Repeat the instruction of Exercise 11 for the function. f(x)=x3+x For part d, use i. a1=0.1 ii...

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Question

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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