Use the Wronskian to show that f(x)-2cosx +3sinx and g(x)-3cosx-2sinx are linearly independent
3sinx + 7x +4, find f'(x). 11. Given, f(x) = 2cosx decimal
Find the Wronskian of the given functions and determine if the functions are independent or linearly dependant linearly y1yx+3 y =2x-5
find an equation of the line tangent to f-1at a=0 2. let f(x)=x3+3sinx+2cosx a) determine if f-1 is increasing or decreasing at a=2 b) determine if f-1 has a positive or negative concavity at a=2
Are the functions f(x) = x² and g(x) = xº linearly independent?
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 =...
(1 point) Are the functions f, g, and h given below linearly independent? f(x) = 621 + cos(9x), g(x) = 621 – cos(9x), h(x) = cos(9x). If they are independent, enter all zeroes. If they are not linearly independent, find a nontrivial solution to the equation below. Be sure you can justify your answer. (e24 + cos(9x)) + (e21 – cos(9x)) + (cos(9.x)) = 0.
(1 point) Are the functions f, g, and h given below linearly independent? f(x) = €3x – cos(4x), g(x) = 23x + cos(4x), h(x) = cos(4x). If they are independent, enter all zeroes. If they are not linearly independent, find a nontrivial solution to the equation below. Be sure you can justify your answer. (e3x – cos(4x)) + (83x + cos(4x)) + (cos(4x)) = 0.
(1) Calculate the Wronskian of the following vectors and determine if they are pointwise linearly independent or dependent. e 0 0 y(1) ). y (2) y (3) 3e- 3e24 6e2.c 2e34 0 W(y(1), y(2), y(3) Circle One: Independent Dependent
Let f(x)=2sinx/2sinx+4cosx. Then f′(x)= . The equation of the tangent line to y=f(x) at a=π/2 can be written in the form y=mx+b where m= b=
Determine all values of the constant a for which the vectors {9-8-} 13/ are linearly dependent in R3. Use the Wronskian to show that the functions f3(x) = 32 fi(x) = c* fz(x) = f* are linearly independent on the interval (-00,00).