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Stolb23 [73]
3 years ago
6

What is the equation of the blue line

Mathematics
2 answers:
makvit [3.9K]3 years ago
5 0

Answer:

y=2x+3

Step-by-step explanation:

tekilochka [14]3 years ago
4 0
F(c)= 2x+3 this should be the answer
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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
Please answer the following attachment down below.<br><br> I would greatly appreciate it if you did.
zepelin [54]

Answer:

34.63

Step-by-step explanation:

A=a2+2aa2

4+h2=32+2·3·32

4+42≈34.63201

4 0
3 years ago
Is the answer A or C?
Phantasy [73]

Answer:

it's C

Step-by-step explanation:

please mark me brainliest i need it to level up :(

Fun Fact: Kleenex tissues were originally intended for gas masks

7 0
3 years ago
Read 2 more answers
Geometry math question no Guessing and Please show work thank you
Fiesta28 [93]

Theorem

In a triangle, the measure of an exterior angle equals the sum of the measures of its two remote interior angles.

x + y = z

4n - 18 + n + 8 = 133 - 6n

5n - 10 = 133 - 6n

11n = 143

n = 13

z = 133 - 6n = 133 - 6(13) = 133 - 78 = 55

Answer: C. 55

3 0
2 years ago
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Find the value of 5(a-4b) when a =-7 and b=1/4
tatiyna

Answer:

- 40

Step-by-step explanation:

5(a - 4b) \\  = 5 \bigg(- 7 - 4 \times \frac{1}{4} \bigg ) \\ = 5 \bigg(- 7 - 1 \bigg ) \\  = 5 \times ( - 8) \\  =  - 40

3 0
3 years ago
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