Perform the following: 1. State your proposed functions and graph. The region bounded by the two functions f: y = 0 and g:y=x² +1 has the domain D: {x|0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Perform the following:
1. State your proposed functions and graph.
The region bounded by the two functions f : y = 0 and
g:y =x +1 has the domain D:{x|0<x < 2} .
2. Solve for the area of the region bounded by the two
functions.
The area of the region bounded by f and g is
a4.67
14
[* +1)-(0)]t =
× 4.67 square units
3
3. If 1 square unit = 10 square meters and 1 liter of paint that costs Php 200.00 can cover 13.33
square meters, exactly how much paint will be needed to render a single design on the wall?
If 1 square unit = 10 square meters, then 4.67 square units = 46.70 square meters.
To compute the cost of paint:
46.70 square meters + 13.33 square meters x Php 200 z Php 700.67
The cost of a single design is approximately Php 700.67.
Reflection
In no less than three sentences each, answer the following:
1. In words, explain the process of computing for areas of regions bounded by curves.
2. Other than using definite integrals, can you think of how else can the cost of paint be estimated?
Illustrate.
3. Why is it necessary to first estimate the cost before painting? Explain.
Transcribed Image Text:Perform the following: 1. State your proposed functions and graph. The region bounded by the two functions f : y = 0 and g:y =x +1 has the domain D:{x|0<x < 2} . 2. Solve for the area of the region bounded by the two functions. The area of the region bounded by f and g is a4.67 14 [* +1)-(0)]t = × 4.67 square units 3 3. If 1 square unit = 10 square meters and 1 liter of paint that costs Php 200.00 can cover 13.33 square meters, exactly how much paint will be needed to render a single design on the wall? If 1 square unit = 10 square meters, then 4.67 square units = 46.70 square meters. To compute the cost of paint: 46.70 square meters + 13.33 square meters x Php 200 z Php 700.67 The cost of a single design is approximately Php 700.67. Reflection In no less than three sentences each, answer the following: 1. In words, explain the process of computing for areas of regions bounded by curves. 2. Other than using definite integrals, can you think of how else can the cost of paint be estimated? Illustrate. 3. Why is it necessary to first estimate the cost before painting? Explain.
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