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:

From <u>x = 2 to x = 4</u>, it is given by:

The average of these rates is:

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:
A
Step-by-step explanation:
observe
x² + 12x + y² + 10y = –45
add 36 + 25 on both side
x² + 12x + 36 + y² + 10y + 25 = –45 + 36 + 25 = 16
(x + 6)² + (y + 5)² = 16
The total number of common tangents that can be drawn to the circles is 2.
<h3>What is a tangent?</h3>
A tangent serves as line that touches the circle at a single point whereby the point where tangent meets the circle is the tangency.
A tangent to a circle can be described as the straight line that touches the circle at only one point.
Therefore, from the definition, The total number of common tangents that can be drawn to the circles is 2.
Read more on the tangent here:
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BCD, because the largest side of a triangle is opposite to the largest interior angle.
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3 3/4 inches = (3 3/4 / 12) feet = 0.3125 feet
120 feet requires ------- x number of board.
120 feet/0.3125 feet / board = 384 boards.
1 board costs 1.40
384 boards cost x
1.4 * 384.00= x*1 = x
537.60 dollars.
Note if you need to do this by dimensional analysis, it will look like this.
120 feet/fence [ 1 board / 3.75 inches] [ 12 inches/foot] [1.40 dollars / board]
All units that can be cancelled should be.
The result is 537.6 dollars / fence which is the answer you got.