A cylinder and its dimensions are shown. One equation for calculating the volume of a cylinder is V = Bh , where B represents th
e area of the base of the cylinder. Which expression can be used to find the value of B, in square inches, for this cylinder?
A) π(8.3)2
B) 2π(8.3)
C) π(11.1)2
D) 2π(11.1)
A) π(8.3)2
B) 2π(8.3)
C) π(11.1)2
D) 2π(11.1)
2 answers:
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Answer:
(B) Time (min) 2 , 3 , 7 , 9
Temperature (°C) 60.6 , 64.3 , 79.1 , 86.5
Step-by-step explanation:
The rate of change is found by using the formula for slope:
For option A, this gives us
m =(64.4-61.0)/(3-2) = 3.4/1 = 3.4
This is not more than relationship A.
For option B, we have
(64.3-60.6)/(3-2) = 3.7/1 = 3.7
This is more than relationship A.
For option C, we have
(65.3-61.8)/(3-2) = 3.5/1 = 3.5
This is not more than relationship A.
For option D, we have
(64.6-61.0)/(3-2) = 3.6/1 = 3.6
This is not more than relationship A.
Splitting up the interval of integration into subintervals gives the partition
Each subinterval has length . The right endpoints of each subinterval follow the sequence
with . Then the left-endpoint Riemann sum that approximates the definite integral is
and taking the limit as gives the area exactly. We have