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
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
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
A sizeable bare building wall serves as a backdrop for a famous night food market in Bonifacio Global City. To attract more customers, the owners of the market decided to decorate the wall. You are a painter who is renowned for designing regions bounded by curves. You were hired by the market owners to propose a geometric pattern design and estimate the cost of paint, which will be used. You will present your design and computations to the market owners. Your output will be subject to approval based on the criteria: illustration and complexity of design, accuracy, and exactness of solutions, and report and over- all presentation.
Example is stated in the picture below.
![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 × 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.
Important Notes:
1. It may be necessary for complex graphs to show the 'sections' of the design on separate graphs
(aside from the final design graph).
2. Maximize the use of colors to distinguish between graphs of sections clearly.
3. Show the computed areas of sections using a graphing tool (Desmos, Geogebra, or Autograph). It
should be parallel or equal to the manually calculated areas. Ensure that the design's size is
somehow similar with what you can see in BGC wall paints ta make it realistic.
4. Refrain from using too many functions that are difficult to interpret in the design.
5. Answer the Reflection comprehensively.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F205d54c5-30e1-486e-825a-e5281ca84163%2F91fb3d36-43db-4e5a-b6cc-24574366df6b%2Fjaap7tm_processed.png&w=3840&q=75)
Transcribed Image Text: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 × 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.
Important Notes:
1. It may be necessary for complex graphs to show the 'sections' of the design on separate graphs
(aside from the final design graph).
2. Maximize the use of colors to distinguish between graphs of sections clearly.
3. Show the computed areas of sections using a graphing tool (Desmos, Geogebra, or Autograph). It
should be parallel or equal to the manually calculated areas. Ensure that the design's size is
somehow similar with what you can see in BGC wall paints ta make it realistic.
4. Refrain from using too many functions that are difficult to interpret in the design.
5. Answer the Reflection comprehensively.
![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} .
4
a = 4.67
2. Solve for the area of the region bounded by the two
functions.
-3
-2
-1
1
The area of the region bounded by f and g is
14
z 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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F205d54c5-30e1-486e-825a-e5281ca84163%2F91fb3d36-43db-4e5a-b6cc-24574366df6b%2Fz9h9ppn_processed.png&w=3840&q=75)
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} .
4
a = 4.67
2. Solve for the area of the region bounded by the two
functions.
-3
-2
-1
1
The area of the region bounded by f and g is
14
z 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?
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