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3 years ago

(a) Use differentiation to find a power series representation for

Mathematics

1 answer:

choli [55]3 years ago

8 0

Answer:1/(3+x)=(1/3)

(1−(−x/3))

1/(3+x)=(1/3)1(1−(−x/3))

Use this fact that

1/(1−t)=

∑

∞

(∗)

1/(1−t)=∑0∞tn (∗)

where

|t|<1

. I mean take

t=−x/3

and...

Note that

|−t|=|t|<1

is the radius of convergence

Step-by-step explanation:

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So what is the answer?

Dimas [21]

Answer for what?????

4 0

3 years ago

PLZ HELP ASAP TANGENTS OF CIRCLES

bezimeni [28]

First, we are given that the inscribed angle of arc CB which is angle D is equal to 65°. This is half of the measure of the arc which is equal to the measure of the central angle, ∠O.

m∠O = 2 (65°) = 130°

Also, the measure of the angles where the tangent lines and the radii meet are equal to 90°. The sum of the measures of the angle of a quadrilateral ACOB is equal to 360°.

m∠O + m∠C + m∠B + m∠A = 360°

Substituting the known values,
130° + 90° + 90° + m∠A = 360°

The value of m∠A is equal to 50°.

Answer: 50°

7 0

2 years ago

I need help again if I don't get this right then I'll have to do the lesson all over again and i'm already 10 lessons behind!

zhuklara [117]

Answer:

1/27 in ^3

Step-by-step explanation:

where length - 1/3 inches

width - 1/3 inches

height - 1/3 inches

the formula to find volume is as follows

volume =

numerators should be multiplied by numerators and denominators by denominators

volume =

volume of the cube is 1/27 in.³

7 0

2 years ago

Read 2 more answers

Complete the table of values

Agata [3.3K]

Both problems give you a function in the second column and the x-values. To find out the values of a through f, you need to plug in those x-values into the function and simplify!

You need to know three exponent rules to simplify these expressions:
1) The negative exponent rule says that when a base has a negative exponent, flip the base onto the other side of the fraction to make it into a positive exponent. For example, $3^{-2} =
\frac{1}{3^{2} }$ .
2) Raising a fraction to a power is the same as separately raising the numerator and denominator to that power. For example, $(\frac{3}{4}) ^{3} = \frac{ 3^{3} }{4^{3} }$ .
3) The zero exponent rule says that any number raised to zero is 1. For example, $3^{0} = 1$ .


Back to the Problem:
Problem 1
The x-values are in the left column. The title of the right column tells you that the function is $y = 4^{-x}$ . The x-values are:
1) x = 0
Plug this into $y = 4^{-x}$ to find letter a:
$y = 4^{-x}\\
y = 4^{-0}\\
y = 4^{0}\\
y = 1$

2) x = 2
Plug this into $y = 4^{-x}$ to find letter b:
$y = 4^{-x}\\ 
y = 4^{-2}\\ 
y = \frac{1}{4^{2}} \\ 
y= \frac{1}{16}$

3) x = 4
Plug this into $y = 4^{-x}$ to find letter c:
$y = 4^{-x}\\ 
y = 4^{-4}\\ 
y = \frac{1}{4^{4}} \\ 
y= \frac{1}{256}$


Problem 2
The x-values are in the left column. The title of the right column tells you that the function is $y = (\frac{2}{3})^x$ . The x-values are:
1) x = 0
Plug this into $y = (\frac{2}{3})^x$ to find letter d:
$y = (\frac{2}{3})^x\\
y = (\frac{2}{3})^0\\
y = 1$

2) x = 2
Plug this into $y = (\frac{2}{3})^x$ to find letter e:
$y = (\frac{2}{3})^x\\ y = (\frac{2}{3})^2\\ y = \frac{2^2}{3^2}\\
y = \frac{4}{9}$

3) x = 4
Plug this into $y = (\frac{2}{3})^x$ to find letter f:
$y = (\frac{2}{3})^x\\ y = (\frac{2}{3})^4\\ y = \frac{2^4}{3^4}\\ y = \frac{16}{81}$

-------

Answers:
a = 1
b = $\frac{1}{16}$ 
c = $\frac{1}{256}$
d = 1
e = $\frac{4}{9}$
f = $\frac{16}{81}$

5 0

3 years ago

Find the size of angle of cuz give your answer to 1 decimal place 13cm and 4cm

liberstina [14]

Step-by-step explanation:

<h2>2.1</h2><h2>that's the answer.</h2><h2>thank you.</h2>

5 0

2 years ago