In a test drive of a new fuel efficient car, a company tracks the car's mpg (miles per gallon) for 2 gallons of gasoline burned during a test drive. Use the approximating method developed in this section with intervals of 0.25 gallons of gasoline and the "left end" approach to complete the items below. Be sure to indicate the endpoints with open and closed "dots".

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In a test drive of a new fuel efficient car, a company tracks the car's mpg (miles per gallon) for 2 gallons of gasoline burned during a test drive. Use the approximating method developed in this section with intervals of 0.25 gallons of gasoline and the "left end" approach to complete the items below. Be sure to indicate the endpoints with open and closed "dots".

A) based on the specifications given in the instructions above, sketch the approximate mpg rate function on the same axes as the given mpg curve below.

la a test drive oľa new fuel efficient car, a company tracks the car's mpg (miles per gallon) for 2 gallens of gasoline burned during a test drive. Use the approximating metbod developed in this section with intervals of 0.25 pallons of gasoline and the "left cud" approach to complete the items beclow. Be sure te indicate the
cndpoints with open and elosed "dos". (Click here for a printable version.)
a. Basod en the spocilications given in the instructions above, sketch the approximate mpg rate finction en the same axes as the given mpg curve below.
50
40+
30+
20
10
0.1 02 03 04 0.5 0,6 0.7 08 09I
1.1 12 1.3 14 15 1,6 .7 18 19
2.
10
Transcribed Image Text:la a test drive oľa new fuel efficient car, a company tracks the car's mpg (miles per gallon) for 2 gallens of gasoline burned during a test drive. Use the approximating metbod developed in this section with intervals of 0.25 pallons of gasoline and the "left cud" approach to complete the items beclow. Be sure te indicate the cndpoints with open and elosed "dos". (Click here for a printable version.) a. Basod en the spocilications given in the instructions above, sketch the approximate mpg rate finction en the same axes as the given mpg curve below. 50 40+ 30+ 20 10 0.1 02 03 04 0.5 0,6 0.7 08 09I 1.1 12 1.3 14 15 1,6 .7 18 19 2. 10
b. Represent numerically approximations for the variations in the number of miles driven and the cumalative number of miles driven for every 0.25 gallans af gasoline burned given the exat rate of change function: 30e
* sin(da) + 20
Number of gallons of gasoline burned
O to 0.25
Approximate variations in the mumber of miles driven
39. 6601
Approximate cumulative number of miles driven
Preview
39 6601
Preview
0.25 to 0.5
36. 5455
Preview
76 2056
]Preview
0.5 to 0,75
21.9998
Preview
98 2054
Preview
0.75 to 1.0
116476
Preview
109 853
Preview
1.0 to 1.25
11.7579
Preview
1216109
Preview
1.25 to 1.5
18. 1296
Preview
139 7405
Preview
1.5 to 1,75
23.4250
Preview
163. 1655
] Preview
1.75 to 2.0
24.0168
Preview
187 1823
Preview
c. Represent the cumulative numher of miles driven graphically below. The first segment is drawn for you. (Use part b)
50
45
40
35
30-
25
20
15-
10-
5-
0.1 02 03 04 05 06 07 08 09
1I 12 1.3 4 13 1.6 17 18 19 2
2.1
5-
Clear All Draw: Line Segment
d. Approximate the total variation în miles driven for the finst 0.9 galkans hurned: 112.8079
Preview
miles
Transcribed Image Text:b. Represent numerically approximations for the variations in the number of miles driven and the cumalative number of miles driven for every 0.25 gallans af gasoline burned given the exat rate of change function: 30e * sin(da) + 20 Number of gallons of gasoline burned O to 0.25 Approximate variations in the mumber of miles driven 39. 6601 Approximate cumulative number of miles driven Preview 39 6601 Preview 0.25 to 0.5 36. 5455 Preview 76 2056 ]Preview 0.5 to 0,75 21.9998 Preview 98 2054 Preview 0.75 to 1.0 116476 Preview 109 853 Preview 1.0 to 1.25 11.7579 Preview 1216109 Preview 1.25 to 1.5 18. 1296 Preview 139 7405 Preview 1.5 to 1,75 23.4250 Preview 163. 1655 ] Preview 1.75 to 2.0 24.0168 Preview 187 1823 Preview c. Represent the cumulative numher of miles driven graphically below. The first segment is drawn for you. (Use part b) 50 45 40 35 30- 25 20 15- 10- 5- 0.1 02 03 04 05 06 07 08 09 1I 12 1.3 4 13 1.6 17 18 19 2 2.1 5- Clear All Draw: Line Segment d. Approximate the total variation în miles driven for the finst 0.9 galkans hurned: 112.8079 Preview miles
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