3 years ago

HELP ME PLEASE!. 20 points!

Mathematics

1 answer:

likoan [24]3 years ago

6 0

Answer:

Part 1: She will make $1,944.00 In 4 days.

Part 2: 0.38

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least to greatest numbers one, negative 2.5, 0.75, three common negative 0.75 can you help me put them least to greatest

Serjik [45]

-2.5, -0.75, 0.75, 3

4 0

3 years ago

SOLUTION We observe that f '(x) = -1 / (1 + x2) and find the required series by integrating the power series for -1 / (1 + x2).

Ann [662]

Answer:

Required series is:

$\int{\frac{-1}{1+x^{2}} \, dx =-x+\frac{x^{3}}{3}-\frac{x^{5}}{5}+\frac{x^{7}}{7}+.....$

Step-by-step explanation:

Given that

$f'(x) = -\frac{1}{1 + x^{2}}$ ---(1)

We know that:

$\frac{d}{dx}(tan^{-1}x)=\frac{1}{1+x^{2}}$ ---(2)

Comparing (1) and (2)

$f'(x)=-(tan^{-1}x)$ ---- (3)

Using power series expansion for $tan^{-1}x$

$f'(x)=-tan^{-1}x=-\int {\frac{1}{1+x^{2}} \, dx$

$= -\int{ \sum\limits^{ \infty}_{n=0} (-1)^{n}x^{2n}} \, dx$

$= -\sum{ \int\limits^{ \infty}_{n=0} (-1)^{n}x^{2n}} \, dx$

$=-[c+\sum\limits^{ \infty}_{n=0} (-1)^{n}\frac{x^{2n+1}}{2n+1}]$

$=C+\sum\limits^{ \infty}_{n=0} (-1)^{n+1}\frac{x^{2n+1}}{2n+1}$

$=C-x+\frac{x^{3}}{3}-\frac{x^{5}}{5}+\frac{x^{7}}{7}+.....$

$tan^{-1}(0)=0 \implies C=0$

Hence,

$\int{\frac{-1}{1+x^{2}} \, dx =-x+\frac{x^{3}}{3}-\frac{x^{5}}{5}+\frac{x^{7}}{7}+.....$

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3 years ago

Find the sum of (63−4)+(−23+9)=

frutty [35]

Answer:

Step-by-step explanation

Hope this helps :)

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3 years ago

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Which of the following best explains why cos2pi/3 is not equal to cos5pi/3?

const2013 [10]

Answer: the angles do not have the same reference angle.

Step-by-step explanation:

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3 years ago

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Quickly solve (x+7)2=121, for x. Graph the solution on a number line.

asambeis [7]

Answer:

The value of the x is 53.5 or x=53.5

Step-by-step explanation:

Given data in the question:-

$(x+7)2=121$

We have to find the value of x.

Solution:-

$(x+7)2=121\\=>2x+14=121\\=>2x=121-14\\=>2x=107\\=>x=107/2\\=>x=53.5\\$

Hence the answer is 53.5

3 0

3 years ago