(3) Determine whether the given set of functions is linearly independent on the interval (-00,00) f1(x)...
Determine whether the given set of functions is linearly independent on the interval (−∞, ∞) f1(x) = x f2(x) = sin(x) f3(x) = sin(2x)
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)
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 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...
help please Determine whether the given set of functions is linearly independent on the interval (-0,00). )-e",f(x)=e",左(x)-sinh(x)
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...
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
(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 following set of functions on R is linearly independent: {1 + x, x + x 2 , x2 + x 3 , x3 + 1} .
Find the Wronskian of the given functions and determine if the functions are independent or linearly dependant linearly y1yx+3 y =2x-5