Using derivatives, it is found that the best estimate of f '(2) based on this table of values is of 10.
The rate of change <u>from x = 0 to x = 2</u> is given by:
![r_1 = \frac{2 - (-16)}{2 - 0} = \frac{18}{2} = 9](https://tex.z-dn.net/?f=r_1%20%3D%20%5Cfrac%7B2%20-%20%28-16%29%7D%7B2%20-%200%7D%20%3D%20%5Cfrac%7B18%7D%7B2%7D%20%3D%209)
From <u>x = 2 to x = 4</u>, it is given by:
![r_2 = \frac{24 - 2}{4 - 2} = \frac{22}{2} = 11](https://tex.z-dn.net/?f=r_2%20%3D%20%5Cfrac%7B24%20-%202%7D%7B4%20-%202%7D%20%3D%20%5Cfrac%7B22%7D%7B2%7D%20%3D%2011)
The average of these rates is:
![A = \frac{r_1 + r_2}{2} = \frac{9 + 11}{2} = 10](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%7Br_1%20%2B%20r_2%7D%7B2%7D%20%3D%20%5Cfrac%7B9%20%2B%2011%7D%7B2%7D%20%3D%2010)
Hence, the best estimate of f '(2) based on this table of values is of 10.
To learn more about derivatives, brainly.com/question/18590720
Answer:
2.25
Step-by-step explanation:
1.5x1.5= 2.25
it is 1.5 mi from kelvins door to the park, it is 2.25 mi from kelvins house to the library.
hope this helps, let me know if you need more explaining
The answer is $2.00 hope this helps
Answer:
![y=\frac{1}{4}x+6](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B4%7Dx%2B6)
Step-by-step explanation:
is the least steeped graph
- The greater the slope, the steeper the line.
- Also you use the absolute values of the slopes when determining the steepness.
- So here it would be:
![\frac{3}{4},7,\frac{1}{4},2](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D%2C7%2C%5Cfrac%7B1%7D%7B4%7D%2C2)
- Now, arrange them from least to greatest:
![\frac{1}{4},\frac{3}{4},2,7](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%2C%5Cfrac%7B3%7D%7B4%7D%2C2%2C7)
As you can see,
is the smallest number/slope.
Hope this helps!
Answer:
2√137
Step-by-step explanation:
To find AB, we can use the Pythagorean Theorem (a² + b² = c²). In this case, a = 22, b = 8 and we're solving for c, therefore:
22² + 8² = c²
484 + 64 = c²
548 = c²
c = ± √548 = ± 2√137
c = -2√137 is an extraneous solution because the length of a side of a triangle cannot be negative, therefore, the answer is 2√137.