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Rasek [7]
3 years ago
7

If g(x)= 3x+1, evaluate g(-2)

Mathematics
1 answer:
seropon [69]3 years ago
4 0

Hey there!

G(x) = 3x + 1

G(-2)

They just ask you to insert the value of -2 instead of x

= (-2)(3) + 1

G(-2)= -5


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The pearson correlation coefficient measures the strength of the linear association between two variables, x and y, regardless o
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That is correct do I get the points?
7 0
3 years ago
The indicated function y1(x is a solution of the given differential equation. use reduction of order or formula (5 in section 4.
Taya2010 [7]
Given a solution y_1(x)=\ln x, we can attempt to find a solution of the form y_2(x)=v(x)y_1(x). We have derivatives

y_2=v\ln x
{y_2}'=v'\ln x+\dfrac vx
{y_2}''=v''\ln x+\dfrac{v'}x+\dfrac{v'x-v}{x^2}=v''\ln x+\dfrac{2v'}x-\dfrac v{x^2}

Substituting into the ODE, we get

v''x\ln x+2v'-\dfrac vx+v'\ln x+\dfrac vx=0
v''x\ln x+(2+\ln x)v'=0

Setting w=v', we end up with the linear ODE

w'x\ln x+(2+\ln x)w=0

Multiplying both sides by \ln x, we have

w' x(\ln x)^2+(2\ln x+(\ln x)^2)w=0

and noting that

\dfrac{\mathrm d}{\mathrm dx}\left[x(\ln x)^2\right]=(\ln x)^2+\dfrac{2x\ln x}x=(\ln x)^2+2\ln x

we can write the ODE as

\dfrac{\mathrm d}{\mathrm dx}\left[wx(\ln x)^2\right]=0

Integrating both sides with respect to x, we get

wx(\ln x)^2=C_1
w=\dfrac{C_1}{x(\ln x)^2}

Now solve for v:

v'=\dfrac{C_1}{x(\ln x)^2}
v=-\dfrac{C_1}{\ln x}+C_2

So you have

y_2=v\ln x=-C_1+C_2\ln x

and given that y_1=\ln x, the second term in y_2 is already taken into account in the solution set, which means that y_2=1, i.e. any constant solution is in the solution set.
4 0
3 years ago
Mmmmmmmmmmmmmmmmmmmmmmm
elena-s [515]

Answer:

ill take those points rq

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
2) Tell whether each statement about the expression 5y + 9 is True or False
olya-2409 [2.1K]

Answer:

True.

Step-by-step explanation:

A variable term is a term with a variable. 5y is your only variable term; therefore, it only has one variable term.

4 0
3 years ago
Please help I don't understand this!
Igoryamba

Answer:

0.9950   to the nearest ten thousandth.

Step-by-step explanation:

We use the identity sin^2 t = 1 - cos^2 t

sin^2 t = 1 - (0.1)^2

= 0.99

So sin t = 0.9950 (answer).

3 0
3 years ago
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