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alexandr402 [8]
2 years ago
10

What does the ' mean in 12 degrees and 15'

Mathematics
1 answer:
tino4ka555 [31]2 years ago
3 0
The "mean" is the "average" you're used to, where you add up all the numbers and then divide by the number of numbers. The "median<span>" is the "middle" value in the list of numbers.</span>
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Solve the Anti derivative.​
Alex Ar [27]

Answer:

\displaystyle \int {\frac{1}{9x^2+4}} \, dx = \frac{1}{6}arctan(\frac{3x}{2}) + C

General Formulas and Concepts:

<u>Algebra I</u>

  • Factoring

<u>Calculus</u>

Antiderivatives - integrals/Integration

Integration Constant C

U-Substitution

Integration Property [Multiplied Constant]:                                                                \displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx

Trig Integration:                                                                                                           \displaystyle \int {\frac{du}{a^2 + u^2}} = \frac{1}{a}arctan(\frac{u}{a}) + C

Step-by-step explanation:

<u>Step 1: Define</u>

<u />\displaystyle \int {\frac{1}{9x^2 + 4}} \, dx<u />

<u />

<u>Step 2: Integrate Pt. 1</u>

  1. [Integral] Factor fraction denominator:                                                         \displaystyle \int {\frac{1}{9(x^2 + \frac{4}{9})}} \, dx
  2. [Integral] Integration Property - Multiplied Constant:                                   \displaystyle \frac{1}{9} \int {\frac{1}{x^2 + \frac{4}{9}}} \, dx

<u>Step 3: Identify Variables</u>

<em>Set up u-substitution for the arctan trig integration.</em>

\displaystyle u = x \\ a = \frac{2}{3} \\ du = dx

<u>Step 4: Integrate Pt. 2</u>

  1. [Integral] Substitute u-du:                                                                               \displaystyle \frac{1}{9} \int {\frac{1}{u^2 + (\frac{2}{3})^2} \, du
  2. [Integral] Trig Integration:                                                                               \displaystyle \frac{1}{9}[\frac{1}{\frac{2}{3}}arctan(\frac{u}{\frac{2}{3}})] + C
  3. [Integral] Simplify:                                                                                           \displaystyle \frac{1}{9}[\frac{3}{2}arctan(\frac{3u}{2})] + C
  4. [integral] Multiply:                                                                                           \displaystyle \frac{1}{6}arctan(\frac{3u}{2}) + C
  5. [Integral] Back-Substitute:                                                                             \displaystyle \frac{1}{6}arctan(\frac{3x}{2}) + C

Topic: AP Calculus AB

Unit: Integrals - Arctrig

Book: College Calculus 10e

7 0
2 years ago
HELLLLLP MEHHHHHHHH PLSSSSSSS
Wewaii [24]

Answer:

They both have the same range

Step-by-step explanation:

375-175=200

400-200=200

3 0
2 years ago
Read 2 more answers
If the probability of losing is <br> 7<br> 10<br> what is the probability of winning?
alexandr1967 [171]
3/10 is the probability of winning
5 0
2 years ago
Which of the following is a possible unit for the volume of a cone?
mash [69]

Possible unit is m³

<u>Step-by-step explanation:</u>

  • The possible unit for volume of a cone is m³
  • Volume of a cone = Base area × Height
  • Here unit for volume will be square units and that of height will be in units. Together, they form cubic units.
  • In the given options, the only unit that is in cubic form is m³
8 0
3 years ago
What times will give you 150
zepelin [54]

Answer: 75(2) OR 25(6)

Step-by-step explanation:75+75 = 150 OR 25+25+25+25+25+25=150

5 0
3 years ago
Read 2 more answers
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