<h3>
Answer: 14</h3>
Explanation:
Pick two columns from the table to form the (x,y) points.
I'll pick the last two columns, since everything is positive here. So we have the points (2, 17) and (4, 45)
Apply the slope formula to those points
m = (y2 - y1)/(x2 - x1)
m = (45 - 17)/(4 - 2)
m = (28)/(2)
m = 14
The rate of change is 14.
Answer:
1,020 miles
Step-by-step explanation:
360 divided by 12 is 30, 30 times 17 is 510 times 2 is 1,020
Answer:
C And D!
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
You must subtract the small volume from the bigger volume in this case you must do
Simplified is B
Answer:
(B)
General Formulas and Concepts:
<u>Calculus</u>
Limits
Derivatives
- The definition of a derivative is the slope of the tangent line.
Derivative Notation
Instantaneous Rates
- Tangent Line:
Step-by-step explanation:
Since we are trying to find a <em>rate</em> at which W(t) changes, we must find the <em>derivative</em> at <em>t</em> = 3.
We are given 2 close answer choices that would have the same <em>numerical</em> answer but different <em>meanings</em>:
- (A)
- (B)
If we look at answer choice (A), we see that our units would simply just be volume. It would not have the units of a rate of change. Yes, it may be the closest numerically correct answer, but it does not tell us the <em>rate</em> at which the volume would be changing and it is not a derivative.
If we look at answer choice (B), we see that our units would be cm³/s, and that is most certainly a rate of change. Answer choice (B) is also a <em>derivative</em> at <em>t</em> = 3, and a derivative tells us what <em>rate</em> something is changing.
∴ Answer choice (B) will give us the best estimate for the value of the instantaneous rate of change of W(t) when <em>t</em> = 3.
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
Book: College Calculus 10e