1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Effectus [21]
3 years ago
9

Without the aid of the Wronskian, determine whether the given set of functions is linearly independent or linearly dependent on

the indicated interval.
a. f1(x) = ln x, f2(x) = ln x^5, (0, [infinity])
b. f1(x) = x^n, f2(x) = x^n + 2, n = 1, 2, \ldots, (−[infinity], [infinity])
c. f1(x) = x, f2(x) = x + 8, (−[infinity], [infinity])
d. f1(x) = cos(x + π), f2(x) = sin x, (−[infinity], [infinity])
Mathematics
1 answer:
Bezzdna [24]3 years ago
5 0

Answer and Step-by-step explanation:

Solution:

(a) The function. f1(x) = ln x, f2(x) = ln x^5 is linearly independent or not.

According to “Linear independent theorem: if two functions f1and f2 are linearly dependent if one can be represent as the constant multiple of other.

f1 = n. f2

Consider given function:

f1(x) = lnx f2(x) = lnx5

(b) Set of function f1(x) = x^n, f2(x) = x^n + 2, is linearly independent or not on the interval [-∞, ∞].

According to “Linear independent theorem: if two functions f1and f2 are linearly dependent if one can be represent as the constant multiple of other.

f1 = n. f2

Consider the given function:

f1(x) = xn f2(x) = xn+2

(c) f1(x) = x, f2(x) = x + 8, (−[infinity], [infinity])

Function is not linearly independent.

Linear independent theorem states that two functions f1 and f2 are linearly dependent if one can represent as the constant multiple of other.

F1= n.f2

(d) f1(x) = cos(x + π), f2(x) = sin x. [-∞, ∞]

According to “Linear independent theorem: if two functions f1and f2 are linearly dependent if one can be represent as the constant multiple of other.

f1 = n. f2

The given function:

f1(x) = cos(x + π)f2(x)

You might be interested in
PLEASE HELPPP!!! I will mark brainlist​
Maslowich

Answer:

d

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
As voters exit the polls, you ask a representative random sample of voters if they voted for a proposition. If the true percenta
tresset_1 [31]

Answer:

The probability is 0.057797

Step-by-step explanation:

Consider the provided information.

It is given that true percentage of voters who vote for the proposition is 63%,

Let p is probability of success.

According to the binomial distribution:

P(x;p,n)=^nC_x(p)^x(1-p)^{(n-x)}

Substitute n=7, p=0.63 and x=2 in the above formula.

P(x;p,n)=^7C_2(0.63)^2(1-0.63)^{(7-2)}

P(x;p,n)=\frac{7!}{2!5!}(0.3969)(0.37)^{5}\\P(x;p,n)=21(0.3969)(0.37)^{5}\\P(x;p,n)=0.0577974947199\\P(x;p,n)\approx0.057797

Hence, the probability is 0.057797

8 0
3 years ago
Help please <br> Right angle triangle
baherus [9]

Answer:

h ≈ 11.9

Step-by-step explanation:

Since the triangle is right we can use the cosine ratio to find h

cos24° = \frac{adjacent}{hypotenuse} = \frac{h}{13}

Multiply both sides by 13

13 × cos24° = h

⇒ h = 11.9 cm ( to 1 dec. place )

8 0
3 years ago
Read 2 more answers
Check
asambeis [7]

Answer:

Step-by-step explanation:

An equation contains a sign equality (=) between two expressions.

And an expression is a simple algebraic statement.

By these definitions,

          Equations                          Expressions

         x = 2x + 5                            21x - 13 + 11x

         \frac{1}{2}x=5+3                           -3.7x - 13  

         3x + 1 = -2.1                          \frac{1}{2}x+5

7 0
3 years ago
PLEASE I NEED HELP I GIVE BRAINLIEST
Sonja [21]

Answer:

this has to be a meme

Step-by-step explanation:

are you trolling us

6 0
2 years ago
Read 2 more answers
Other questions:
  • Is the fraction 1/3 equivalent to a terminating decimal or a decimal that does not terminate?
    6·1 answer
  • PLEASE HELP ME ASAP!!
    8·1 answer
  • 1 2.2.5 Quiz: Solving Problems by Dividing Fractions
    7·1 answer
  • PLZ ANSWER WILL MARK BRAINLIST 3O POINTS!!!!! How do you calculate the residuals for a scatterplot?
    15·1 answer
  • Ex 1) A population of 422, 000 increases by 12% each year. What is the population after<br> years.
    14·1 answer
  • Find the value of x.
    7·2 answers
  • please help. i stayed up all night finishing this schoolwork i need help pleaseee please omg im begging someone to help me
    6·1 answer
  • I need help lol with this problem pls help pls pls pls
    9·1 answer
  • Mr. Waugh paid $42.00 for 12 gallons of gasoline. Ms. Peters paid $31.50 for 9 gallons of gasoline. What was theprice per gallon
    12·2 answers
  • Maggie is flying a kite and lets out
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!