Answer:
2 times 5 times 5 times 5 times 5
7. Try drawing 2 lines parallel from each other. What shape do you think of first?
8. To find the perimeter, you add up all of the sides.
9. A parallelogram has 2 pairs of parallel sides.
10. A rhombus is basically a square; all even sides. A rectangle has 2 pairs of parallel sides and the sides are not all the same.
Example: If you can put 2 pounds of fruit in each bowl, than you would be able to put 32 ounces of fruit in each bowl. This is because i pound of fruit would be 16 ounces, so 2 pounds of fruit would mean to just add 16 by the last amount of ounces ( which was 16) which gives you 32 ounces. I hope this example helps you. :)
Answer:
(B) ![\displaystyle \frac{W(3.1) - W(2.9)}{0.2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7BW%283.1%29%20-%20W%282.9%29%7D%7B0.2%7D)
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:
![\displaystyle f'(x) = \frac{f(b) - f(a)}{b - a}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20f%27%28x%29%20%3D%20%5Cfrac%7Bf%28b%29%20-%20f%28a%29%7D%7Bb%20-%20a%7D)
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)
![\displaystyle \lim_{t \to 3} W(t)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%20%5Clim_%7Bt%20%5Cto%203%7D%20W%28t%29)
- (B)
![\displaystyle \frac{W(3.1) - W(2.9)}{0.2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7BW%283.1%29%20-%20W%282.9%29%7D%7B0.2%7D)
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
T= 14c+5c t is the total amount of cards and c stands for the cards