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Neporo4naja [7]
3 years ago
8

Y=(

la1" title="y = ( \sqrt{x + 3} + 5) ^{10 } " alt="y = ( \sqrt{x + 3} + 5) ^{10 } " align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
3 0

Answer:

(-8,0)

Step-by-step explanation:

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Find the Taylor series for f(x) centered at the given value of a. (Assume that f has a power series expansion. Do not show that
Kobotan [32]

Answer:

Here we just want to find the Taylor series for f(x) = ln(x), centered at the value of a (which we do not know).

Remember that the general Taylor expansion is:

f(x) = f(a) + f'(a)*(x - a) + \frac{1}{2!}*f''(a)(x -a)^2 + ...

for our function we have:

f'(x) =  1/x

f''(x) = -1/x^2

f'''(x) =  (1/2)*(1/x^3)

this is enough, now just let's write the series:

f(x) = ln(a) +  \frac{1}{a} *(x - a) - \frac{1}{2!} *\frac{1}{a^2} *(x - a)^2 + \frac{1}{3!} *\frac{1}{2*a^3} *(x - a)^3 + ....

This is the Taylor series to 3rd degree, you just need to change the value of a for the required value.

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2 years ago
What is the Compound interest on Rs.1000 at the rate of 20% p.a. semiannually for 1 year and 10 months?
sergiy2304 [10]

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420.31

Step-by-step explanation:

A

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Find the third side in simplest radical form:
larisa [96]

Answer:

x = √53

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

<u>Trigonometry</u>

  • [Right Triangles Only] Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

<u>Step 1: Define</u>

We are given a right triangle. We can use PT to solve for the missing length.

<u>Step 2: Identify Variables</u>

Leg <em>a</em> = 6

Leg <em>b</em> = <em>x</em>

Hypotenuse <em>c</em> = √89

<u>Step 3: Solve for </u><em><u>x</u></em>

  1. Set up equation:                    6² + x² = (√89)²
  2. Isolate <em>x</em> term:                        x² = (√89)² - 6²
  3. Exponents:                             x² = 89 - 36
  4. Subtract:                                 x² = 53
  5. Isolate <em>x</em>:                                 x = √53
5 0
3 years ago
In one month Sierra earned $400 and $100 was withheld from income tax. Suppose she makes $600 next month. How much will be withh
valentina_108 [34]

Answer:

$150

Step-by-step explanation:

it is $25 income tax every $100 earned so 25 x 6 = 150

6 0
3 years ago
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