1. Find the area of the region bounded by the given curves. Show the computed areas of sections using a graphing tool (Desmos, Geogebra or Autograph). It should be parallel or equal BASIC CALCULUS to the manually calculated areas. Strictly use definite integral in solving for the area a. y = Vx and y = x³ b. y = |x| – 2 and the x axis c. y = sin x and y = - sin x from x = -n to x T

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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please answer number 1 (a,b&c) show complete solutions
Perform the following on short bond papers (maximum of 5 bond papers) with 2 in margin on all
sides.
1. Find the area of the region bounded by the given curves. Show the computed areas of
sections using a graphing tool (Desmos, Geogebra or Autograph). It should be parallel or equal
BASIC CALCULUS
to the manually calculated areas. Strictly use definite integral in solving for the area
a. y = Vx and y = x³
b. y = |x| – 2 and the x axis
C. y = sin x and y = – sin x from x = -n to x = TI
2. From the enclosed figures, form a design/digital design that you will use to decorate the wall.
You may duplicate, triplicate, or make more of the enclosed figures, reflect, move, and rotate
the enclosed regions as needed to create your design/digital design. Ensure that the design's
size is somehow similar with what you can see on the wall paints to make it realistic You may
use graphing tool. Maximize the use of colors to distinguish graphs of sections clearly.
(1 page).
3. if 1 square unit = 10 square meters, and 1 liter of paint that costs 200.00 pesos can cover
13.33 square meters, exactly how much wilI be needed to render a single design on the wall?
Show your complete solution.
4. Why is it necessary to first estimate the cost before painting? Explain in 3-5 sentences.
Transcribed Image Text:Perform the following on short bond papers (maximum of 5 bond papers) with 2 in margin on all sides. 1. Find the area of the region bounded by the given curves. Show the computed areas of sections using a graphing tool (Desmos, Geogebra or Autograph). It should be parallel or equal BASIC CALCULUS to the manually calculated areas. Strictly use definite integral in solving for the area a. y = Vx and y = x³ b. y = |x| – 2 and the x axis C. y = sin x and y = – sin x from x = -n to x = TI 2. From the enclosed figures, form a design/digital design that you will use to decorate the wall. You may duplicate, triplicate, or make more of the enclosed figures, reflect, move, and rotate the enclosed regions as needed to create your design/digital design. Ensure that the design's size is somehow similar with what you can see on the wall paints to make it realistic You may use graphing tool. Maximize the use of colors to distinguish graphs of sections clearly. (1 page). 3. if 1 square unit = 10 square meters, and 1 liter of paint that costs 200.00 pesos can cover 13.33 square meters, exactly how much wilI be needed to render a single design on the wall? Show your complete solution. 4. Why is it necessary to first estimate the cost before painting? Explain in 3-5 sentences.
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