Okay, what do we know?
1*6=6, right?
Well, then 9*6=? (you should know your math facts by now)
<span>(3x−2)(2x+3)=0
</span><span>(3x−2)=0; x = 2/3
</span><span>(2x+3)=0; x = -3/2
answer
x = -3/2 and x = 2/3</span>
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:
Step-by-step explanation:
Dimensions of the backyard is 14 m by 15 m
<u>The length of the fence is the perimeter of the backyard.</u>
- P = 2(l +w)
- P = 2(15 + 14) = 2(29) = 58 m
One meter of the fence costs $6.63
<u>Cost of the entire fence is:</u>
Answer:
Line "L" has the slope of 1 and line "K" has the slope of 2.
In order to graph a line with the slope of
think of the numerator as the "rise" (how much you move up/down on the y-intercept) and the denominator as the "run" (how much you move to the side on the x-intercept)
Step-by-step explanation:
A slope of "1" is simply
so you rise up one and move to the right once. This clearly demonstrated on line "L".
A slope of "2" is
so you rise up two and move to the right once, as is demonstrated on line "K".
For the 2nd question, line "A" will have a slope of
therefore it will move up once and then to the side three times. It will look like the image attached to this answer.
I hope this helped! Feel free to ask questions if needed!