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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 Noteg

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 Noteg

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.2: Ellipses
Problem 70E
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What is the answer to No. 2 of the Reflection part?

INCLUSIVE TOPICS Definite Integral CONTENT STANDARD PERFORMANCE STANDARD The learners shall be able to formulate and solve The learners demonstrate the understanding of antiderivatives and Riemann integral real-life problems accurately involving areas of plane regions. GOAL Estimate the cost of painting a wall with a geometric design. ROLE You are a renowned painter known for designing regions bounded by curves. AUDIENCE Your customers will be the owners of a night food market. 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 SITUATION decorate the wal PRODUCT/ You have to propose a geometric pattem design and estimate the paint cost for the wall design. PERFORMANCE STANDARDS FOR Your output will be evaluated based on the illustration and complexity of design, accuracy, and exactness of solutions, and report and over-all presentation SUCCESS
Transcribed Image Text:INCLUSIVE TOPICS Definite Integral CONTENT STANDARD PERFORMANCE STANDARD The learners shall be able to formulate and solve The learners demonstrate the understanding of antiderivatives and Riemann integral real-life problems accurately involving areas of plane regions. GOAL Estimate the cost of painting a wall with a geometric design. ROLE You are a renowned painter known for designing regions bounded by curves. AUDIENCE Your customers will be the owners of a night food market. 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 SITUATION decorate the wal PRODUCT/ You have to propose a geometric pattem design and estimate the paint cost for the wall design. PERFORMANCE STANDARDS FOR Your output will be evaluated based on the illustration and complexity of design, accuracy, and exactness of solutions, and report and over-all presentation SUCCESS
SAMPLE Performance Task on Definite Integral 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. 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 fand g is ja4.67 14 = 4.67 square units 3 %3D 3. If 1 square unit 10 square meters and 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 I 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 = 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. Use 3-5 functions and refrain from using more than 5 sheets of 8.5 in by 13 in bond size papers. 5. Answer the Reflection comprehensively.
Transcribed Image Text:SAMPLE Performance Task on Definite Integral 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. 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 fand g is ja4.67 14 = 4.67 square units 3 %3D 3. If 1 square unit 10 square meters and 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 I 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 = 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. Use 3-5 functions and refrain from using more than 5 sheets of 8.5 in by 13 in bond size papers. 5. Answer the Reflection comprehensively.
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