Answer:
x² - 6x + 9
Step-by-step explanation:
(a - b)² =a² - 2ab + b²
a = x and b = 3
(x - 3)² = x² - 2*x*3 + 3²
= x² - 6x + 9
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:
6 1/8 - 3 2/8 = 2 7/8
How I Found The Answer:
6 + 1/8 - 3 - 2/8
6 - 3 = 3
1/8 - 2/8 = -1/8
3 - 1/8 = 2 7/8
