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3 years ago

What is the definition of sum

Mathematics

2 answers:

Pani-rosa [81]3 years ago

8 0

The definition of sum is basically addition

sp2606 [1]3 years ago

6 0

Exact same thing as addition. (+)

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Write the Taylor Series for f(x) = sin(x)center

tangare [24]

Answer:

Taylor series of sin(x) centered at x = 0.

Step-by-step explanation:

Taylor series expansion:

$\sum_{n=0}^N f^n(a)\displaystyle\frac{(x-a)^n}{n!}$

Here, f(x) = sin (x) and a = 0

$f(x) = \sin x, f(0) = 0\\f'(x) = \cos x, f'(0) = 1\\f''(x) = -\sin x, f''(0) = 0\\f'''(x) = -\cos x, f'''(0) = -1\\f^4(x) = \sin x, f^4(0) = 0\\f^5(x) = \cos x, f^5(0) = 0$

Putting all the values and expanding, we get,

$f(x) = f(a) + \displaystyle\frac{f'(a)(x-a)}{1!} + \displaystyle\frac{f''(a)(x-a)^2}{2!} + \displaystyle\frac{f'''(a)(x-a)^3}{3!} + \displaystyle\frac{f^4(a)(x-a)^4}{4!} + \displaystyle\frac{f^5(a)(x-a)^5}{5!} + ...\\\\= \sin 0 + \displaystyle\frac{x}{1!} + \displaystyle\frac{(0)x^2}{2!} + \displaystyle\frac{(-1)x^3}{3!} + \displaystyle\frac{(0)x^4}{4!} + \displaystyle\frac{(1)x^5}{5!} + ...$

Solving, we get

$\sin x = x - \displaystyle\frac{x^3}{3!} + \displaystyle\frac{x^5}{5!} - \displaystyle\frac{x^7}{7!} + ...\\\\\sin x = x - \displaystyle\frac{x^3}{6} + \displaystyle\frac{x^5}{120} - \displaystyle\frac{x^7}{5040} + ...$

3 0

3 years ago

X-3 = 4 pls help<br> And thanks :)

Naya [18.7K]

X=7

add 3 to both sides.
hope this helps!

6 0

3 years ago

Find the total surface area for the following. <br>height-3m, length-300 cm and width- 2 cm.

Delvig [45]

Answer:

Step-by-step explanation:

So the Dimensions are:

Height: 300cm

Length: 300cm

Width: 2cm

SA = 2(H*L)+2(H*W)+2(L*W)

= 180000 + 1200 + 1200

= 182400 $cm^{2}$ OR 18.24 $m^{2}$

6 0

3 years ago

Read 2 more answers

1. Which angles are adjacent angles?

irga5000 [103]

Answer:

1. Which angles are adjacent.

CBX and FBC

Step-by-step explanation:

Okay so an adjacent angle is two angles with a common side. This means angles CBX and FBC are adjacent because they have the common side of "BC/CB"

Answer

2. Find the sum of the interior angles of a nonagon

1,260

Step-by-step explanation:

A nonagon is a 9 sided polygon with angles of 140. It wants the sum of all the angles. Since it has 9 sides, it has 9 angles. Now you can add 140, 9 times, or do 140 x 9. This gets you 1,260.

Answer

3. The measure of angle 3 is 101. find the measure of angle 4.

Step-by-step explanation.

Okay so both angles are against the same intersecting line, this means their sum must be 180. All we have to do here is subtract 180 and 101. this gets us 79.

Answer

4. Find the measure of each interior angle of a regular polygon with 12 sides.

1800

Step-by-step explanation.

Okay so a 12 sided regular polygon is a dodecagon. This has 12 angles with the degree of 150. This means 150 x 12 just like the 2nd question about nonagons. So 150 x 12 is 1800

Now that i've showed you how to do the first 4 you can apply the rest of the information on your own for 5 and the rest of the test.

4 0

2 years ago

Read 2 more answers

HELP!!!!!!!!!!!!!!! please show your work, look at the picture

MrRa [10]

Answers and steps are in the picture below!

8 0

3 years ago