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 thecndpoints 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.5040+30+20100.1 02 03 04 0.5 0,6 0.7 08 09I1.1 12 1.3 14 15 1,6 .7 18 192.10 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) + 20Number of gallons of gasoline burnedO to 0.25Approximate variations in the mumber of miles driven39. 6601Approximate cumulative number of miles drivenPreview39 6601Preview0.25 to 0.536. 5455Preview76 2056]Preview0.5 to 0,7521.9998Preview98 2054Preview0.75 to 1.0116476Preview109 853Preview1.0 to 1.2511.7579Preview1216109Preview1.25 to 1.518. 1296Preview139 7405Preview1.5 to 1,7523.4250Preview163. 1655] Preview1.75 to 2.024.0168Preview187 1823Previewc. Represent the cumulative numher of miles driven graphically below. The first segment is drawn for you. (Use part b)5045403530-252015-10-5-0.1 02 03 04 05 06 07 08 091I 12 1.3 4 13 1.6 17 18 19 22.15-Clear All Draw: Line Segmentd. Approximate the total variation în miles driven for the finst 0.9 galkans hurned: 112.8079Previewmiles

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Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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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

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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