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:
Perimeter = 36.84 ft
Area = = 64.26 ft²
Step-by-step explanation:
✔️Perimeter of the figure = the length of the surrounding border the rectangle + surrounding border of circle
Length for surrounding border of the rectangle = 3 + 3 + 3 + 3 + 3 + 3 = 18 ft
Surrounding border of a circle = circumference of a full circle (two half circle makes 1 full circle)
Circumference of the circle = πd
diameter (d) = 12 - (3 + 3) = 6 ft
π = 3.14
Circumference = 3.14*6
= 18.84 ft
✅Perimeter = 18 + 18.84 = 36.84 ft
✔️Area = area if the rectangle + area of the full circle
= L*W + πr²
L = 12 ft
W = 3 ft
π = 3.14
r = ½(6) = 3 ft
Plug in the values
Area = 12*3 + 3.14*3²
= 36 + 28.26
= 64.26 ft²
Answer:
92.64 cm^3 (it should be smaller if using actual pi, 22/7 is larger than pi)
Step-by-step explanation:
The equation for the volume of a cone is 1/3(pi*h*r^2) So, first we need to find the radius, which is diameter over 2, so the radius is 3.5 cm. Now we know all of the variables so we can plug in to solve.
Answer:
we conclude that an inequality 'c ≥ 5' denotes this situation.
Step-by-step explanation:
Given
- A car dealer ship sells at least 5 minivans
When we talk about 'at least', it means we are talking about '≥' in terms of representing the 'at least' in inequality symbol.
For instance,
'm≥n' means 'm' is greater than or equal to 'n'.
It means 'm' is at least equal to 'n'.
Coming back to the question,
- Let 'c' represent the number of minivans sold each week.
As the car dealer ship sells at least 5 minivans. so the
inequality will be: c ≥ 5
Thus, we conclude that an inequality 'c ≥ 5' denotes this situation.
