Determine which of the following pairs of functions are linearly independent. ✓ 1. f(0) = cos(30) g(0) = 5 cos³ (0) – 5 cos(0) 2. f(t) = e^t cos(µt) g(t) = et sin(ut)‚μ‡0 3. f(x) = x³ 4. f(t) = 3t, Linearly dependent Linearly dependent Linearly independent Linearly independent " " " g(x) = |x|³ g(t) = |t|
Determine which of the following pairs of functions are linearly independent. ✓ 1. f(0) = cos(30) g(0) = 5 cos³ (0) – 5 cos(0) 2. f(t) = e^t cos(µt) g(t) = et sin(ut)‚μ‡0 3. f(x) = x³ 4. f(t) = 3t, Linearly dependent Linearly dependent Linearly independent Linearly independent " " " g(x) = |x|³ g(t) = |t|
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.
Chapter4: Calculating The Derivative
Section4.5: Derivatives Of Logarithmic Functions
Problem 47E
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