Using your newspaper or another source, collect data on the high (or low) temperature and the day of the week for your city for
1 answer:
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Answer:
The equation is:
(2×π×r×4r)+(2×π×r^2)= A
The maximum radius of the can they will produce = 1.7 inches
Step-by-step explanation:
Please see the attached files for explanation
We are asked to find the coordinates of the points where the slope of the curve is equal to the slope of the chord AB. We are given the coordinates of A and B. We can use these and the slope formula to find the slope of the chord.
Recall the slope formula is:
We label the points as follows (note that you could change the way you label the points as you will get the same slope regardless of what point is designated with the 1s and which is designated with the 2s).
Plugging these into the slope formula yields:
The slope of the chord is -6
Next consider the curve
. We can find the slope of the curve by taking the first derivative. Thus, the slope of the curve is given by: 
Let us set the slope of the curve equal to -6 to find the points (x,y) where the chord and the curve have the same slope.
That is,
We now have the x-coordinates of the points at which the slope of the chord equals that of the curve. To find the y-coordinates we substitute the values we found for x in the original equation as follows:
and
Thus the two points we seek (x,y) are:
and
Recall the slope formula is:
We label the points as follows (note that you could change the way you label the points as you will get the same slope regardless of what point is designated with the 1s and which is designated with the 2s).
Plugging these into the slope formula yields:
The slope of the chord is -6
Next consider the curve
Let us set the slope of the curve equal to -6 to find the points (x,y) where the chord and the curve have the same slope.
That is,
We now have the x-coordinates of the points at which the slope of the chord equals that of the curve. To find the y-coordinates we substitute the values we found for x in the original equation as follows:
and
Thus the two points we seek (x,y) are:
and