Question

Show that the functions sin t, cost, and e^t are linearly independent on [−∞, +∞].

Show that the functions sin t, cost, and e^t are linearly independent on [−∞, +∞].

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Now if you have any doubt then leave a comment I'll try to resolve it.

Please give me thumb's up I really need it.


0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Show that the set {sin x,sin 2x,sin 3x} is linearly independent over R.
Show that the set {sin x,sin 2x,sin 3x} is linearly independent over R.
Determine whether the given functions are linearly dependent or linearly independent. f1(t) = 4t − 7,...
Determine whether the given functions are linearly dependent or linearly independent. f1(t) = 4t − 7, f2(t) = t2 + 1, f3(t) = 6t2 − t, f4(t) = t2 + t + 1 linearly dependentlinearly independent    If they are linearly dependent, find a linear relation among them. (Use f1 for f1(t), f2 for f2(t), f3 for f3(t), and f4 for f4(t). Enter your answer in terms of f1, f2, f3, and f4. If the system is independent, enter INDEPENDENT.)
1.Show that cos 2t, sin 2t, and e^5t are linearly independent and form a fundamental set...
1.Show that cos 2t, sin 2t, and e^5t are linearly independent and form a fundamental set of solutions for the equation: y ′′′ − 5y ′′ + 4y ′ − 20y = 0 2.Find the general solution to the equation: y ′′′ − y ′′ − 4y ′ + 4y = 0
Show whether the following vectors/functions form linearly independent sets: (a) 2 – 3x, x + 2x^2...
Show whether the following vectors/functions form linearly independent sets: (a) 2 – 3x, x + 2x^2 , – x^2 + x^3 (b) cos x, e^(–ix), 3 sin x (c) (i, 1, 2), (3, i, –2), (–7+i, 1–i, 6+2i)
Let a ∈ R. Show that {e^ax, xe^ax} is a linearly independent subset of the vector...
Let a ∈ R. Show that {e^ax, xe^ax} is a linearly independent subset of the vector space C[0, 1]. Let a, b ∈ R be such that a≠b. Show that {e^ax, e^bx} is a linearly independent subset of the vector space C[0, 1].
Find the Wronskian of the three functions to determine if they are linearly independent. Include enough...
Find the Wronskian of the three functions to determine if they are linearly independent. Include enough steps so that I can follow your work. f(x) = x; g(x) = sin(x); h(x) = ex.
Show that v1 and v2 are Linearly independent, then v1+v2 and v1-v2 are linearly independent as...
Show that v1 and v2 are Linearly independent, then v1+v2 and v1-v2 are linearly independent as well.
The indicated functions are known linearly independent solutions of the associated homogeneous differential equation on (0,...
The indicated functions are known linearly independent solutions of the associated homogeneous differential equation on (0, ∞). Find the general solution of the given nonhomogeneous equation. x2y'' + xy' + y = sec(ln(x)) y1 = cos(ln(x)), y2 = sin(ln(x))
Compute the Laplace transform of functions a) f(t) = e^(−3t) sin(5t) b) f(t) = (2t +...
Compute the Laplace transform of functions a) f(t) = e^(−3t) sin(5t) b) f(t) = (2t + 3)e^(−t)
Consider the two vector valued functions x1(t) = (2e^t , 3) and x1(t) = (4, 6e^-t...
Consider the two vector valued functions x1(t) = (2e^t , 3) and x1(t) = (4, 6e^-t ). For any given fixed value t0, show that the two dimensional vectors x1(t0) and x2(t0) are linearly dependent. At the same time, show that x1 and x2 as functions of t are linearly independent.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT