Calculus. Integrals. SITUATION: A sizeable bare building wall serves as a backdrop for a famous night food market in City Center. In order to captivate a lot more more customers, the owners of the shop center decided to decorate the wall. You are a painter who is known for designing regions bounded by curves. You were hired by these shop center 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 shop center owners.  1. State your proposed functions

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Calculus. Integrals.

SITUATION: A sizeable bare building wall serves as a backdrop for a famous night food market in City Center. In order to captivate a lot more more customers, the owners of the shop center decided to decorate the wall. You are a painter who is known for designing regions bounded by curves. You were hired by these shop center 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 shop center owners. 

1. State your proposed functions and illustrate the graph.
(example is on photo attached)

 


2. Solve for the area of the region bounded by the two functions.
(Example is on photo attached)

 

3. In words, explain the process of computing for areas of regions bounded by curves.  Other than using definite integrals, can you think of how else can the cost of paint be estimated? Illustrate.

The region bounded by the two functions f : y = 0 and
g:y=x² +1 has the domain D: {x|0<x<2}.
4
g 2
a = 4.67
2. Solve for the area of the region bounded by the two
functions.
-3
-2
-1
2
-1
The area of the region bounded by f and g is
L(* +1)-(0)}tx = 14
2
2 4.67
3
square
units
Transcribed Image Text:The region bounded by the two functions f : y = 0 and g:y=x² +1 has the domain D: {x|0<x<2}. 4 g 2 a = 4.67 2. Solve for the area of the region bounded by the two functions. -3 -2 -1 2 -1 The area of the region bounded by f and g is L(* +1)-(0)}tx = 14 2 2 4.67 3 square units
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