Answer:
Maximum volume error = ±540 cm³
Relative error = 0.02
Percentage error = 2%
Step-by-step explanation:
Relative error : The ratio of volume error to the total volume.
Percentage error: The product of relative error and 100.
The volume of a cube is =
v =x³
Differentiate with respect to x
Here are x = 30 cm and dx= ±0.2 cm
∴ dv = 3×(30 cm)² (±0.2 cm)
=±540 cm³
The volume of the cube = 30³ cm ³ = 27,000 cm³
Then the relative error
= 0.02.
The percentage error
= (0.02×100)
=2%
We will have the following:
A. The function is compressed in the y-axis by a factor of 0.5 and then it is inverted in its direction; since it is a line the line is then decreasing instead of increasing.
B. The function is increased by a factor of 2 in the y-axis and then it is moved 3 units up:
C. The function is increased by a factor of 5/3 (Approximately 1.67) in the y-axis and then it is made so it is no longer increasing, but decreasing:
D. The function is increased in the y-axis by a factor of 9 and then it is moved 9 units down:
