Answer:
slopes
Step-by-step explanation:
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:
Step-by-step explanation:
2,2+1,2+1+3,2+1+3+5,...
2,3,6,11,18,27
Answer: 3-subject notebook cost $0.67 or 67 cents and the single-notebook cost $0.33 or 33 cents.
Step-by-step explanation:
Let's represent the 3-subject notebook by y and the single-notebook by x.
y has to cost twice as much as x and we can represent that by the equation
y = 2x
We now know that the total cost of the 3-subject notebook and the single-subject notebook has to equal $1.
We can also represent that by the equation and solve for x
2x + x = 1
3x = 1
x = 0.33 $0.33 or 33 cents
If the single-subject is $33 cents then subtract it from a dollar to see how much the 3-subject notebook costed.
1- 0.33 = 0.67
Answer:
{3,6,9,0}
Step-by-step explanation:
The range is the set of all second elements of ordered pairs (y-coordinates).
