ǐ Question He. Determine whether the given functions are linearly dependent or linearly independent on the...
Determine whether the given functions are linearly dependent or linearly independent on the specified interval. Justify your decision. Thank you! Determine whether the given functions are linearly dependent or linearly independent on the specified interval. Justify your decision. {e 3*, e5x, 27x} on (-00,00) e Select the correct choice below and, if necessary, fill in the answer box to complete your choice. 3x 5x + =e and C2 A. The functions are linearly dependent because for constant values, C1 and...
Determine whether the functions y, and y2 are linearly dependent on the interval (0,1). 71 = e 4t, y2 = e - 6t Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. Since y, = (y2 on (0,1), the functions are linearly dependent on (0,1). (Simplify your answer.) B. Since y = (y2 on (0,1), the functions are linearly independent on (0,1). (Simplify your answer.) O c. Since y, is not...
A9.4.13 Question Help Determine whether the given vector functions are linearly dependent or linearly independent on the interval (-00,00). Let x = Select the correct choice below, and fill in the answer box to complete your choice. 5t O A. The vector functions are linearly dependent since there exists at least one point tin (-00,00) where det[xy(t) x2(t)] is not 0. In fact, det[x4(t) x2(t)] - OB. The vector functions are linearly independent since there exists at least one point...
Determine whether the functions y, and y2 are linearly dependent on the interval (0,1). ya = tan t- secat, y2 = 2 Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. Since y1 = (y2 on (0,1), the functions are linearly dependent on (0,1). (Simplify your answer.) B. Since ya = (y2 on (0,1), the functions are linearly independent on (0,1). (Simplify your answer.) O C. Since yn is not a...
Determine whether the functions y, and y, are linearly dependent on the interval (0,1). yn = sec ?t-tant, y = 3 Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. Since y Dy on (0,1), the functions are linearly independent on (0,1). (Simplify your answer.) OB. Since y, yon (0,1), the functions are linearly dependent on (0.1). (Simplify your answer.) O C. Since y, is not a constant multiple of y2...
(16 points) Determine whether the given set of functions is linearly dependent or linearly independent on the indicated interval. Justify your answers. (a) (8 points) fi(x) = x + 2cos²x, f(x) = 3sin’x, f(x) = x + 2 on (-0,co). (b) (8 points) fi(x) = e34 and 12(x) = e 4x are solutions of the linear homogeneous differential equation y" + y' - 12y = 0 on (-0,co).
1. (16 points) Determine whether the given set of functions is linearly dependent or linearly independent on the indicated interval. Justify your answers. (a) (8 points) S(x) = x + 2cos?x, S2(x) = 3 sin’x, S(x) = x + 2 on (0,0). (b) (8 points) (x) = and f(x) = differential equation " + 1" 4x are solutions of the linear homogeneous O on () 12
Question 2 Determine if the following functions are linearly independent or dependent: Question 2 Determine if the following functions are linearly independent or dependent:
Are the functions fi (x) = ex+4 and fz(x-er-5 linearly dependent or independent? A. Linearty dependent OB. Linearly independent Which of the following best describes the correct choice for part (a)? (Carefull) 0 A. Since the only solution to cfı + c/2 = 0 is ci = c2-0. B. Since the Wronskian equals zero for at least one x on (-o, o). C. Since the Wronskian never equals zero on (-oo, oo). D. Since the functions are scalar multiples of...
12. -/1 POINTS ZILLDIFFEQ8 4.1.017. Determine whether the given set of functions is linearly independent on the interval (-00,00). f(x) = 5, f(x) = cos2x, 13(x) = sinºx O linearly dependent O linearly independent Need Help? Read It Talk to a Tutor)