(1 point) Determine which of the following pairs of functions are linearly independent. Linearly independent 1.f(0)...
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(1 point) Determine which of the following pairs of functions are linearly independent. Linearly independent 1.f(0) = cos(30) g(0) = 5 cos³ (0) – 5 cos(0) Linearly independent 2. f(t) = et cos(ut) Linearly dependent 3. f(x, y) = 2x - 4y - 12, Linearly independent 4. f(t) = 5t² +35t, Linearly independent 5. f(t) = 17t³ Linearly dependent + 6. f(t) = 3t Linearly dependent + 7. f(x) = x² Linearly independent 8. f(x) = x³ Linearly dependent 9. f(x) = 5x 2 2 9 2 " 9 2 g(t) = et sin(ut) ,μ ‡0 g(x, y) = -3x + 6y + 18 g(t) = 5t² - 35t g(t) = et g(t) = |t| g(x) = 4|x|² g(x) = |x|³ g(x) = S(x-3) (1 point) Determine which of the following pairs of functions are linearly independent. Linearly independent 1.f(0) = cos(30) g(0) = 5 cos³ (0) – 5 cos(0) Linearly independent 2. f(t) = et cos(ut) Linearly dependent 3. f(x, y) = 2x - 4y - 12, Linearly independent 4. f(t) = 5t² +35t, Linearly independent 5. f(t) = 17t³ Linearly dependent + 6. f(t) = 3t Linearly dependent + 7. f(x) = x² Linearly independent 8. f(x) = x³ Linearly dependent 9. f(x) = 5x 2 2 9 2 " 9 2 g(t) = et sin(ut) ,μ ‡0 g(x, y) = -3x + 6y + 18 g(t) = 5t² - 35t g(t) = et g(t) = |t| g(x) = 4|x|² g(x) = |x|³ g(x) = S(x-3)
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