2. There is a shape at the centre of the structure from the floor to the...

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2. There is a shape at the centre of the structure from the floor to the roof. Below is the position of the x and y coordinates. (a) (b) (c) Wolfram Alpha Method (d) Position 1 2 3 4 5 (e) (f) X coordinate 0 B B - B - B MATLAB Method Present the shape by joining all points in FIVE straight lines. Write down the equation for the FIVE straight lines. Determine the value of the upper and lower limits of x1, x2, yl, and y2. Find the volume of the pillar by using the below double integrals. Show and explain the working steps. [[*2(x,y) yl y coordinate 4 Determine the value of the upper and lower limits of x3, x4, y3, and y4. Using the reversed order double integrals, find the volume of the pillar. Show and explain the working steps. -X4 y4 L x3 y3 z (x, y) dx dy 0 A A 0 z (x,y) dy dx PR yl x1 Find the pillar volume by using the below double integrals using MATLAB (integral2 function). Use those limits stated in part 2(c). z(x,y) dx dy Comments parts 2(c), 2(d), and 2(e) results. (5 marks) (5 marks) (10 marks) (15 marks) (5 marks) (10 marks) 2. There is a shape at the centre of the structure from the floor to the roof. Below is the position of the x and y coordinates. (a) (b) (c) Wolfram Alpha Method (d) Position 1 2 3 4 5 (e) (f) X coordinate 0 B B - B - B MATLAB Method Present the shape by joining all points in FIVE straight lines. Write down the equation for the FIVE straight lines. Determine the value of the upper and lower limits of x1, x2, yl, and y2. Find the volume of the pillar by using the below double integrals. Show and explain the working steps. [[*2(x,y) yl y coordinate 4 Determine the value of the upper and lower limits of x3, x4, y3, and y4. Using the reversed order double integrals, find the volume of the pillar. Show and explain the working steps. -X4 y4 L x3 y3 z (x, y) dx dy 0 A A 0 z (x,y) dy dx PR yl x1 Find the pillar volume by using the below double integrals using MATLAB (integral2 function). Use those limits stated in part 2(c). z(x,y) dx dy Comments parts 2(c), 2(d), and 2(e) results. (5 marks) (5 marks) (10 marks) (15 marks) (5 marks) (10 marks)