Question

Determine whether the given functions are linearly dependent or linearly independent.

*f*_{1}(* t*) =
4

linearly dependentlinearly independent

If they are linearly dependent, find a linear relation among them.
(Use *f*_{1} for *f*_{1}(*t*),
*f*_{2} for *f*_{2}(*t*),
*f*_{3} for *f*_{3}(*t*), and
*f*_{4} for *f*_{4}(*t*).
Enter your answer in terms of *f*_{1},
*f*_{2}, *f*_{3}, and
*f*_{4}. If the system is independent, enter
INDEPENDENT.)

Answer #1

Determine if the set of functions is linearly independent:
1. f1(x)=cos2x, f2(x)=1, f3(x)=cos^2 x
2. f1(x)=e^ x, f2(x)=e^-x, f3(x)=senhx

Consider the following functions.
f1(x) = x, f2(x) = x-1, f3(x) = x+4
g(x) = c1f1(x) + c2f2(x) + c3f3(x)
Solve for c1, c2, and c3 so that g(x) = 0 on the interval (−∞, ∞).
If a nontrivial solution exists, state it. (If only the trivial
solution exists, enter the trivial solution {0, 0, 0}.)
{c1, c2, c3} =?
Determine whether f1, f2, f3 are linearly independent on the
interval (−∞, ∞).
linearly dependent or linearly independent?

Determine whether the given set of vectors is linearly dependent
or independent. ?? = [5 1 2 1], ?? = [−1 1 2 − 1], ?? = [7 2 4
1]

Determine the order, dependent and independent variables of the
given differential equation and state whether the equation is
linear or nonlinear.
(a) xdy + exy = 2x + 1dx
(b) yy′′ + 4y′ + y = 3t
(c) (1+t2)x′′ +tx′ −x2 = 0

1.) either solve the given system of equations, or else show
that there is no solution.
x1 + 2x2 - x3 = 2
2x1 + x2 + x3 = 1
x1 - x2 + 2x3 = -1
2.) determine whether the members of the given set of vectors
are linearly independent. If they are linearly dependent, find a
linear relation among them.
(a.) x(1) = (1, 1, 0) , x(2) = (0, 1, 1) ,
x(3) = (1, 0, 1)...

Determine if vectors are linearly dependent or
independent:
1. (1,2), (-1,-3)
2. (2,-1,4),(4,-2,7),(1,5,8)
3. (-3,4,2),(7,-1,3),(1.1.8)

Determine whether the lines
L1:x=7+3t, y=7+3t, z=−1+t
and
L2:x=−10+4t, y=−12+5t, z=−12+4t
intersect, are skew, or are parallel. If they intersect,
determine the point of intersection; if not leave the remaining
answer blanks empty.

Determine whether you would use an independent t-test, dependent
t-test, or ANOVA with the following:
a. You have one qualitative independent variable, two levels, a
quantitative dependent variable and different participants in each
level
. b. You have two qualitative independent variables, two levels
each, and a quantitative dependent variable.
c. You have one qualitative independent variable, two levels, a
quantitative dependent variable and same participants in each
level.

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)

Determine whether the following individual events are
independent or dependent. Then find the probability of the combined
event.
1.) Drawing three jacks in a row from a standard deck of cards
when the drawn card is not returned to the deck each time
-The event of drawing a jack and the event of
drawing a jack the next time are dependent or
independent.
-The probability of drawing three jacks in a row
from a standard deck of cards when the...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 6 minutes ago

asked 20 minutes ago

asked 26 minutes ago

asked 42 minutes ago

asked 54 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago