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Ronch [10]
3 years ago
11

What color is Trunk’s hair from DBZ Kai and DBS? P.S. THIS IS MY HOMEWORK PLZ DON’T ASK WHY

Mathematics
1 answer:
Klio2033 [76]3 years ago
8 0

Answer:

DBZ Kai purple

DBS blue

Step-by-step explanation:

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(a) Use the power series expansions for ex, sin x, cos x, and geometric series to find the first three nonzero terms in the powe
Fofino [41]

Answer:

a) \mathbf{4 + \dfrac{x}{1!}- \dfrac{2x^2}{2!}  ...}

b)  See Below for proper explanation

Step-by-step explanation:

a) The objective here  is to Use the power series expansions for ex, sin x, cos x, and geometric series to find the first three nonzero terms in the power series expansion of the given function.

The function is e^x + 3 \ cos \ x

The expansion is of  e^x is e^x = 1 + \dfrac{x}{1!}+ \dfrac{x^2}{2!}+ \dfrac{x^3}{3!} + ...

The expansion of cos x is cos \ x = 1 - \dfrac{x^2}{2!}+ \dfrac{x^4}{4!}- \dfrac{x^6}{6!}+ ...

Therefore; e^x + 3 \ cos \ x  = 1 + \dfrac{x}{1!}+ \dfrac{x^2}{2!}+ \dfrac{x^3}{3!} + ... 3[1 - \dfrac{x^2}{2!}+ \dfrac{x^4}{4!}- \dfrac{x^6}{6!}+ ...]

e^x + 3 \ cos \ x  = 4 + \dfrac{x}{1!}- \dfrac{2x^2}{2!} + \dfrac{x^3}{3!}+ ...

Thus, the first three terms of the above series are:

\mathbf{4 + \dfrac{x}{1!}- \dfrac{2x^2}{2!}  ...}

b)

The series for e^x + 3 \ cos \ x is \sum \limits^{\infty}_{x=0} \dfrac{x^x}{n!} +  3 \sum \limits^{\infty}_{x=0} ( -1 )^x  \dfrac{x^{2x}}{(2n)!}

let consider the series; \sum \limits^{\infty}_{x=0} \dfrac{x^x}{n!}

|\frac{a_x+1}{a_x}| = | \frac{x^{n+1}}{(n+1)!} * \frac{n!}{x^x}| = |\frac{x}{(n+1)}| \to 0 \ as \ n \to \infty

Thus it converges for all value of x

Let also consider the series \sum \limits^{\infty}_{x=0}(-1)^x\dfrac{x^{2n}}{(2n)!}

It also converges for all values of x

7 0
3 years ago
can somebody please help me with this math swath question and maybe explain how i can work out the answer
Katarina [22]

Answer:

yes a

Step-by-step explanation:

8 0
2 years ago
How do I make 3.0035 into a fraction?
olga55 [171]
Make 3.0035 into a proportion, or over 1000000, to make it a whole number. 30035/1000000.
6 0
3 years ago
Read 2 more answers
Which graph shows the solution to the following system?
Natali5045456 [20]
The answer would be the 1st graph, or more specifically, the graph which has the lines intersecting at coordinates (-4,-3)
5 0
3 years ago
CAN AN EXPERT HELP ME SOLVE THE AREA...Ill give brainlest for correct answer amd extra points​
Leya [2.2K]

Answer:

Step-by-step explanation:

area of ΔEDF=(4/5)²×15=16/25  ×15=48/5 in²=9.6 in²

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