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Tom [10]
3 years ago
13

Use multiplication or division of power series to find the first three nonzero terms in the Maclaurin series for the function. (

Enter your answers as a comma-separated list.)
y = 6 sec(3x)
Mathematics
1 answer:
Mrrafil [7]3 years ago
6 0

Answer:

So, the first three nonzero terms in the Maclaurin series are:

6, \, 27x^2, \, \frac{405x^4}{4}.

Step-by-step explanation:

From exercise we have the next function y = 6 sec(3x).

We know that Maclaurin series for the function sec x, have the following form:

\sec x=1+\frac{x^2}{2}+\frac{5x^4}{24}+...

So, for the given function y = 6 sec(3x), we get:

y = 6 \sec(3x)=6+27x^2+\frac{405x^4}{4}+...

So, the first three nonzero terms in the Maclaurin series are:

6, \, 27x^2, \, \frac{405x^4}{4}.

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 | | | | -x | + | 6
 | | 10 x^2 | - | 60 x | + | 0
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7 0
3 years ago
a bag contains 6 red 4 blue and 8 green marbles how many of each color should be added so that the total number of marbles is 27
PSYCHO15rus [73]
You would need to add 3 marbles to each group.

4 0
3 years ago
ANSWER FAST
brilliants [131]

Answer:

y = 1

Step-by-step explanation:

x + y = 16

x - y = 14     add the equations

--------------

2x = 30

x = 15

x + y = 16

15 + y = 16

y = 1

the numbers are 15 and 1

7 0
3 years ago
Does 2 1/3-1 3/4 need require renaming
ANEK [815]

Answer:

\frac{7}{12}

Step-by-step explanation:

2 \frac{1}{3}  - 1 \frac{3}{4}

The fractions above are known as mixed numbers (that is, fractions that contain the combination of a whole number and proper fraction). The mixed numbers can equally be renamed as improper fractions. However, renaming can only occur the the mixed numbers are being transformed as below:

\frac{7}{3}  -  \frac{7}{4}

The transformation occur through a simple approach thus: for the first mixed number; 2 1/3 = 2 multiplied by 3 plus 1 divide by 3 equals 7/3. Similarly, mixed number 1 3/4 is transformed by this: 1 multiplied by 4 plus 3 divide by 4 equals 7/4.

Simplifying further to arrive at final result implies,

\frac{7}{3}  -  \frac{7}{4}

Take the LCM of the denominators (4 × 3 =12) and simplify thus:

=   \frac{28 - 21}{12}

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6 0
3 years ago
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