Answer:
(-∞ , -6] ∪ [6 , +∞)
Step-by-step explanation:
<u>Let D be the domain of f </u>.
D = {x ∈ IR ; where x² - 36 ≥ 0}
x² - 36 ≥ 0
⇔ x² ≥ 36
⇔ x² ≥ 6²
⇔ √(x²) ≥ √(6²)
⇔ |x| ≥ 6
⇔ x ∈ (-∞ , -6] ∪ [6 , +∞)
ANSWER
72km/h
EXPLANATION
The average speed of the car can be calculated using the formula:
Average Speed=total distance/ total time taken.
The car covers a distance of 108km in 1½ hours.
We substitute the values into the formula to obtain,
Therefore the average speed of the journey is 72km/h
Answer:
72
Step-by-step explanation:
Answer:
48 mm ^ 2
Step-by-step explanation:
We know we have a cube of side x, therefore the volume of that cube will be equal to:
V = x ^ 3, because it is a cube and each side is the same.
Now the derivative of the volume with respect to the length (that is, x) would be:
dV / dx = 3 * (x ^ 2)
They tell us that x takes a value of 4, replacing we have:
dV / dx = 3 * (4 ^ 2) = 48
That is, 48 mm ^ 2 would be the value of dV / dx when x is equal to 4 mm.
