1. A tank holds gallons of water, which drains from the bottom of the tank in half an hour. Thevalues in the table show the volume of water remaining in the tank (in gallons) after t minutes.t (min)V (gal)1015202530694444250111280.1. If P is the point (15, 250) on the graph of V, find the slopes of the secant lines PQ whenQ is the point on the graph with t= 5, 10, 20, 25, and 30.Lカ-250メモーIS694-250 444=-44.4る-134294me 28-25625-18-222--22.%3D44,410-10me O-250--2so_-16.6444-250 194--38.830-1S16-13mz!ll-250 -139|1-250%3D1=-27.820-152. Estimate the slope of the tangent line at P by averaging the slopes of two secant lines.3. Use a graph of the function to estimate the slope of the tangent line at P. (This sloperepresents the rate at which the water is flowing from the tank after 15 minutes.)

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Asked Jan 28, 2020
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3) use a graph of the function to estimate the slope of the tangent line at P. (This slope represents the rate at which the water is flowing from the tank after 15 minutes) 

1. A tank holds gallons of water, which drains from the bottom of the tank in half an hour. The
values in the table show the volume of water remaining in the tank (in gallons) after t minutes.
t (min)
V (gal)
10
15
20
25
30
694
444
250
111
28
0.
1. If P is the point (15, 250) on the graph of V, find the slopes of the secant lines PQ when
Q is the point on the graph with t= 5, 10, 20, 25, and 30.
Lカ-250
メモーIS
694-250 444=-44.4
る-13
4294
me 28-256
25-18
-222--22.
%3D
44,4
10
-10
me O-250--2so_-16.6
444-250 194--38.8
30-1S
16-13
mz!ll-250 -139
|1-250
%3D
1=-27.8
20-15
2. Estimate the slope of the tangent line at P by averaging the slopes of two secant lines.
3. Use a graph of the function to estimate the slope of the tangent line at P. (This slope
represents the rate at which the water is flowing from the tank after 15 minutes.)
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1. A tank holds gallons of water, which drains from the bottom of the tank in half an hour. The values in the table show the volume of water remaining in the tank (in gallons) after t minutes. t (min) V (gal) 10 15 20 25 30 694 444 250 111 28 0. 1. If P is the point (15, 250) on the graph of V, find the slopes of the secant lines PQ when Q is the point on the graph with t= 5, 10, 20, 25, and 30. Lカ-250 メモーIS 694-250 444=-44.4 る-13 4294 me 28-256 25-18 -222--22. %3D 44,4 10 -10 me O-250--2so_-16.6 444-250 194--38.8 30-1S 16-13 mz!ll-250 -139 |1-250 %3D 1=-27.8 20-15 2. Estimate the slope of the tangent line at P by averaging the slopes of two secant lines. 3. Use a graph of the function to estimate the slope of the tangent line at P. (This slope represents the rate at which the water is flowing from the tank after 15 minutes.)

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Expert Answer

Step 1

Draw a graph by plotting the points (5, 694), (10, 444), (15, 250), (20, 111), (25, 28) and (30, 0). Draw the slope of tangent line at P.

Step 2

Then we ha...

Calculus homework question answer, step 2, image 1
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