Answer:
C. f'(x) = lim(h→0) [(f(x+h) − f(x)) / h]
Step-by-step explanation:
The first derivative is the slope between two points as the distance between those points approaches 0. Slope is Δy/Δx. Choice D is a valid way to write the first derivative. It is the slope between the points (x, f(x)) and (x+h, f(x+h)). Choice C is not a valid definition.
Answer:
B. E(s) = s^3 - 29.
Step-by-step explanation:
The amount of empty space
inside the cubic box is equal to the volume of the box minus the volume of the softball.
If the side length of the cubic box is
, and the volume of the softball is
, then the amount of empty space
inside is
,
where
is the volume of the cubic box.
Since it matches the equation we got above, choice B stands correct.
Answer:
Your hands full
Step-by-step explanation:
Answer:
36 miles
Step-by-step explanation:
(Imagine a huge triangle on a perfectly open space-- not with streets or houses or cornfields.)
The dimensions of the two sides given are multiples of a classic Pythagorean Triple: 3, 4, 5.
9 is 3x3, 12 is 3x4 so the remaining side would be 3x5 15
Add those 3 sides to get the total distance, 36 miles.