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...
ǐ Question He. Determine whether the given functions are linearly dependent or linearly independent on the specified interval Justify your decision Select the correct choice below and, if necessary, fill in the answer box to complete your choice O A. The functions are Iinearly dependent because for constant values,e, and cy, the equation cye S .r has the solution c, and c O B. The functions are linearly independent beceuse there are no constant values,e, and eg, that make the...
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). 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...
(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).
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...
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
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)
Determine whether the given set of functions is linearly independent on the interval (-00,00) fı(x) = xf2(x) = sin(x) $3(x) = sin(2x)
(3) Determine whether the given set of functions is linearly independent on the interval (-00,00) f1(x) = x f2(x) = sin(x) $3(x) = sin(2x)