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4 years ago

Find the values of x in the figure below. Express your answer in simplest radical form.

Mathematics

1 answer:

swat324 years ago

5 0

Answer:

Step-by-step explanation:I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me...

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Use the appropriate substitutions to write down the first four nonzero terms of the Maclaurin series for the binomial (1+3x)^(-1

PolarNik [594]

Answer:

First term=1

Second term=-x

Third term= $2x^2$

Fourth term = $-\frac{28}{3!}x^3$

Step-by-step explanation:

We are given that function

$f(x)=(1+3x)^{-1/3}$

We have to find the first four non zero terms of the Maclaurin series for the binomial.

Maclaurin series of function f(x) is given by

$f(x)=f(0)+f'(0)x+\frac{1}{2!}f''(0)x^2+\frac{1}{3!}f'''(0)x^3+....$

$f(0)=(1+3x)^{\frac{-1}{3}}=1$

$f'(x)=-\frac{1}{3}(1+3x)^{-\frac{4}{3}}(3)=-(1+3x)^{-\frac{4}{3}}$

$f'(0)=-1$

$f''(x)=\frac{4}{3}\times 3 (1+3x)^{-\frac{7}{3}}$

$f''(0)=4$

$f'''(x)=-4\times \frac{7}{3}\times 3(1+3x)^{-\frac{10}{3}}$

$f'''(0)=-28$

Substitute the values we get

$(1+3x)^{-\frac{1}{3}}=1-x+\frac{4}{2!}x^2+\frac{-28}{3!}x^3+...$

$(1+3x)^{-\frac{1}{3}}=1-x+2x^2+\frac{-28}{3!}x^3+...$

First term=1

Second term=-x

Third term= $2x^2$

Fourth term = $-\frac{28}{3!}x^3$

5 0

3 years ago

It’s not an question per say, I wanted to see if my answer was right

serg [7]

Answer:

Yes it’s correct I did this for a test like last week lol

Step-by-step explanation:

8 0

3 years ago

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Ana is retiring next year from the school that she has taught at for the last 25 years. Her pension pays a monthly salary of $1,

miskamm [114]

<span>Your answer would be $2,024.02.</span>

4 0

3 years ago

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Lines a and b are parallel <br> What is the value of x?

NeX [460]

Answer:

x = 16

Step-by-step explanation:

Will use sum of angles = 180 theorem.

Vertical angles makes the one across from 60 also 60.

180-124=56

60+56+4x=180

Simplify to get:

4x=64

x=16

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3 years ago

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Molly hikes 1/6 miles everyday to hike a total of 11/6 she would have to hike for how many days

Irina18 [472]

Molly would have to hike for 11 days for it to equal 11/6

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3 years ago

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