Answer:
(B) π/12 + π/6 k
Step-by-step explanation:
Points of inflection are where f"(x) = 0 and changes signs.
f(x) = cos²(3x)
f(x) = (cos(3x))²
f'(x) = 2 (cos(3x))¹ × -sin(3x) × 3
f'(x) = -6 sin(3x) cos(3x)
Using double angle formula:
f'(x) = -3 sin(6x)
f"(x) = -3 cos(6x) × 6
f"(x) = -18 cos(6x)
0 = -18 cos(6x)
0 = cos(6x)
6x = π/2 + 2πk or 6x = 3π/2 + 2πk
We can simplify this to:
6x = π/2 + πk
x = π/12 + π/6 k
Answer:
D.) 9√2
Step-by-step explanation:
a^2 + b^2 = c^2
x^2 + 8^2 = √226^2
x^2 + 64 = 226
x^2 = 226 - 64
x^2 = 162
√x^2 = √162
√162 = √81 • √2
√81 = 9
√2 = √2
9√2
Answer:
x = 24
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Geometry</u>
- All angles in a triangle add up to 180°
Step-by-step explanation:
<u>Step 1: Set Up Equation</u>
3x + 2x + 60° = 180°
<u>Step 2: Solve for </u><em><u>x</u></em>
- Combine like terms: 5x + 60 = 180
- Isolate <em>x </em>term: 5x = 120
- Isolate <em>x</em>: x = 24
3A = [9 12 18 6]
2B = [4 -8 -2 10]
3A +2B = [13 4 16 16]