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madam [21]
3 years ago
5

How many decameters are there in 14 meters

Mathematics
1 answer:
DanielleElmas [232]3 years ago
8 0
14 meters = 140 decimeters and 15 meters=150 decimeters and so on
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Find the Maclaurin series for the f(x)=xe^2x and find<br> itsradius of convergence.
snow_tiger [21]

Answer:

Step-by-step explanation:

Maclaurin series is a special form of Taylor series where a = 0,

f(x)=\sum\limits^\infty_{n=0}\frac{f^{(n)}(0)(x-a)^n}{n!}=\sum\limits^\infty_{n=0}\frac{f^{(n)}(0)x^n}{n!}

Hence,

f\left(x\right)=f\left(0\right)+\frac{f^{'}\left(0\right)}{1!}\left(x\right)+\frac{f^{''}\left(0\right)}{2!}\left(x\right)^2+\frac{f^{'''}\left(0\right)}{3!}\left(x\right)^3+\ldots

For f(x)=xe^{2x},

f\left(x\right)=0\cdot \:e^{2\cdot \:0}+\frac{\frac{d}{dx}\left(xe^{2x}\right)\left(0\right)}{1!}x+\frac{\frac{d^2}{dx^2}\left(xe^{2x}\right)\left(0\right)}{2!}x^2+\frac{\frac{d^3}{dx^3}\left(xe^{2x}\right)\left(0\right)}{3!}x^3+\ldots

Where,

0\cdot \:e^{2\cdot \:0}\quad :\quad 0\\\\\frac{d}{dx}\left(xe^{2x}\right)\left(0\right)\quad :\quad 1\\\\\frac{d^2}{dx^2}\left(xe^{2x}\right)\left(0\right)\quad :\quad 4\\\\\frac{d^3}{dx^3}\left(xe^{2x}\right)\left(0\right)\quad :\quad 12\\\\\frac{d^4}{dx^4}\left(xe^{2x}\right)\left(0\right)\quad :\quad 32\\\\\frac{d^5}{dx^5}\left(xe^{2x}\right)\left(0\right)\quad :\quad 80

Thus,

f\left(x\right)=0+\frac{1}{1!}x+\frac{4}{2!}x^2+\frac{12}{3!}x^3+\frac{32}{4!}x^4+\frac{80}{5!}x^5+\ldots=\\\\=x+2x^2+2x^3+\frac{4}{3}x^4+\frac{2}{3}x^5+\ldots

3 0
3 years ago
32.determine the rate of change of the graph
Anon25 [30]
Rise over run 4/2 or 2 would be the rate of change the equation would be
Y=2x+12 or Y=4/2x+12 either one would work
7 0
3 years ago
Read 2 more answers
Find the Area of the Trapezoid.<br><br> A. 7.5 ft^2<br> B. 9ft ^2<br> C. 10.5 ft^2<br> D. 18 ft^2
erica [24]

Answer:

B

Step-by-step explanation:

8 0
3 years ago
Laura tiene láminas y 40 están repetidas si coloca 5 en cada página de su álbum ¿cuántas páginas completará laura?​
bulgar [2K]

Answer:

8.

Step-by-step explanation:

Dado que Laura tiene 40 láminas repetidas, si coloca 5 de estas láminas en cada página de su álbum, para determinar cuántas páginas de su álbum podrá Laura completar se debe realizar el siguiente cálculo:

40 / 5 = Cantidad de páginas

8 = Cantidad de páginas

Así, colocando 5 láminas por página, Laura podrá completar 8 páginas de su álbum.

8 0
3 years ago
Express 0.456 as a percent
nordsb [41]
<span>Express 0.456 as a percent
=
45.6%

hope it helps</span>
3 0
3 years ago
Read 2 more answers
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