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
Answer:
Well first see what the points are
Step-by-step explanation:
Answer:
46 in²
Step-by-step explanation:
First rewrite as y = ..., just move the +3 to the other side (sign flips):
y = -3.
Then replace y by f(x):
f(x) = -3.
This is a straight line at y=-3.
Answer B.
The ore the answer is B. Why?
Because (-4m+1) + (7m-9) = 3m - 8
You add -4m and 7m and get 3m and the only answer that has a POSITIVE 3m is B.
Anyways, you still have to check it. 1+(-9) is -8. So A+B = 3m - 8