Question 2 Determine if the following functions are linearly independent or dependent: Question 2 Determine if the...
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...
Problem 2 Determine if the following functions are linearly independent or linearly dependent. If you believe that they are linearly dependent (i.e. W(5,9) (+) = 0, for all t in some interval) find a dependence relation. 1. f(t) = cost, g(t) = sint 2. f(t) = 61, g(t) = 64+2 3. f(t) = 9 cos 2t, g(t) = 2 cos? t - 2 sinat 4. f(t) = 2t>, g(t) = 14
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 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...
a) they are linearly independent
b)they are linearly dependent
c)neither linearly dependent nor linearly independent
d)functions cannot be determined in real space x
e) none of them
(10,00 Puanlar) 2 14,(x) = [1 - Cos(2x)]. uz(x) = Sin?(x) fonksiyonlarının lincer bağımlı yada lineer bağımsız olup olmadıklarını inceleyiniz? a uneer olarak bagimsizdirlar by Lineer olarak bagimlidirlar. Ne lineer bagimline de lineer bagimsizdirlar d Fonksiyonlar, x-reel uzayında belirlenemezdirler c) Hiçbiri Once 2/ Soncalo > Kaput Swim
Question 5 Is the set of functions linearly dependent or linearly independent? f(x) = 7, g(x) = 5x +1, h(x) = 3x2 - 4x + 5 Linearly dependent Linearly independent Have no clue... Question 6 Given a solution to the DE below, find a second solution by using reduction of order. r’y' – 3xy + 5y = 0; y1 = r* cos(In x) y2 = xsin(In x) y2 = x2 sin Y2 = 2 * sin(In) . . y2 =...
Determine whether the set S is linearly independent or linearly dependent. 2 -4 S={ 3 2 Note: you can only submit each part of this question once for marking. 2 -4 STEP 1: Determine if is a scalar multiple of 3 2 O scalar multiple O not a scalar multiple STEP 2: Determine if the set S is linearly dependent. O linearly independent linearly dependent
(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
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...