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Troyanec [42]
3 years ago
6

What’s is CA?? That’s only I really need for this question

Mathematics
1 answer:
Naya [18.7K]3 years ago
5 0

CA would be 7 cause the perpendicular bisector splits the triangle evenly in half :]

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Use the appropriate substitutions to write down the first four nonzero terms of the Maclaurin series for the binomial (1+3x)^(-1
PolarNik [594]

Answer:

First term=1

Second term=-x

Third term=2x^2

Fourth term =-\frac{28}{3!}x^3

Step-by-step explanation:

We are given that function

f(x)=(1+3x)^{-1/3}

We have to find the  first four non zero terms of the Maclaurin series for the binomial.

Maclaurin series of function f(x) is given by

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

f(0)=(1+3x)^{\frac{-1}{3}}=1

f'(x)=-\frac{1}{3}(1+3x)^{-\frac{4}{3}}(3)=-(1+3x)^{-\frac{4}{3}}

f'(0)=-1

f''(x)=\frac{4}{3}\times 3 (1+3x)^{-\frac{7}{3}}

f''(0)=4

f'''(x)=-4\times \frac{7}{3}\times 3(1+3x)^{-\frac{10}{3}}

f'''(0)=-28

Substitute the values we get

(1+3x)^{-\frac{1}{3}}=1-x+\frac{4}{2!}x^2+\frac{-28}{3!}x^3+...

(1+3x)^{-\frac{1}{3}}=1-x+2x^2+\frac{-28}{3!}x^3+...

First term=1

Second term=-x

Third term=2x^2

Fourth term =-\frac{28}{3!}x^3

5 0
3 years ago
What objects hold the same amount of liquid as a 96 fluid oz jug
Zanzabum
1 quart = 32 fluid ounces
so 96÷32=3
3 0
4 years ago
Read 2 more answers
Please help with questions 1d and e
Aleksandr-060686 [28]

(d) \frac{75}{2}, \frac{75}{4}, \frac{75}{8}

(e) 68, 82, 96

(d) note that the terms have a common ratio ( r )

r = \frac{300}{600} = \frac{150}{300} = \frac{1}{2}

to obtain any term in the sequence, multiply the previous term by \frac{1}{2}

75 × \frac{1}{2} = \frac{75}{2}

\frac{75}{2}× \frac{1}{2} = \frac{75}{4}

\frac{75}{4} × \frac{1}{2} = \frac{75}{8}

(e) note that the terms have a common difference (d )

d = 26 - 12 = 40 - 26 = 54 - 40 = 14

to obtain any term in the sequence, add 14 to the previous term

54 + 14 = 68

68 + 14 = 82

82 + 14 = 96

3 0
3 years ago
Can some one help me Answer please
aleksley [76]

Answer:

You need tosee the relationships between the numberof meals and the amount of pet foods

7 0
3 years ago
Use the value of x to find the measure of angle 1
suter [353]
We know that the angle of a straight line is 180°.

So we know that (5x-5) + (2x+10) = 180
We will then solve for x

5x - 5 + 2x + 10 = 180

7x + 5 = 180

7x = 175

x = 25 (just an explanation of how we get 25)

To get angle 1, we will then plug in x=25 into the first equation to get

5(25)-5 = 125-5 = 120°
7 0
3 years ago
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