Problem #2: Which of the following sets of functions are linearly independent on the interval (-0,...
Determine whether the given set of functions is linearly independent on the interval (−∞, ∞) f1(x) = x f2(x) = sin(x) f3(x) = sin(2x)
17. Another way to check if y1, y2 are linearly INDEPENDENT in an interval I is: for all I for all I does not exist for all I d. none of the above 18. If y1 is a solution of the equation y "+ P (x) y '+ Q (x) y = 0, a second solution would be y2 (x) = u (x) y1 (x) where u (x) it is: d. all of the above 19. The following set...
(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)
Consider the following functions. fy(x) = x, fz(x) = x2, f3(x) = 2x - 4x2 g(x) = C7f1(x) + c2f2(x) + c3f3(x) Solve for Cy, cy, and cz so that g(x) = 0 on the interval (-00, 00). If a nontrivial solution exists, state it. (If only the trivial solution exists, enter the trivial solution {0, 0, 0}.) {C1,C2,C3}={C } Determine whether f1, f2, fz are linearly independent on the interval (-00, 0). O linearly dependent O linearly independent
(1 point) Calculate the Wronskian for the following set of functions: f1(x) = 0, f2(2) = 2.c +5, f3(2) = 1e" + b W(fi(2), f2(2), f3()) NO_ANSWER 1. Is the above set of functions linearly independent or dependent?
please solve this differential equation problem in mathematica Lab 2 Exercise Use the Basic Math Assistant palette -Advanced for your functions. eall trig functions: Sin[expr, Cos[expr], Tan[espr], Sinh[epr and In(x) will be Log[x] expr Determine whether the given set of functions are linearly dependent or independent on (-) <-2, f2(x) x3, f3(x) = 5x 2. f1(x) Cos[2x], f2(x) Sin[2x], f3(x) Cos[x]*Sin[x] 3. f1x) e, f2(x) = e*, f3(x) Sinh[x] 4. f1(x) Cos[2x], f2(x)= x, f3(x) = (Cos[x])^2,f4(x) = Sin[2x] 5....
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
QULJTIUNIL Which of the following sets of vectors in M2x2 (the vector space are linearly independent? (I) (II) 9 {{:::::::: {[:: [:] [:] [::] {[:] [:] [::]] {{ :) (III) 1 0 3 0 0 (IV) 2 1 1 0
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)
Problem #9: Which of the following functions is continuous at (0,0)? () S(x, y) = x + 3yt if (x,y) # (0,0) if (x, y) = (0,0) x2 394 (ii) g(x, y) to + if (x, y) + (0,0) if (x, y) = (0,0) (iii) h(x, y) V22 + y2 + 1 - 1 x² + y² if (x, y) + (0,0) if (x,y) = (0,0) (A) none of them (B) (iii) only (C) (ii) only (D) all of them...