The roof of a square floor (20m x 20m) base structure can model as z(x, y) where (x, y) is the coordinate of the floor with (0,0) as the coordinate of the centre of the floor. Last digit of the Student ID EVEN number (2, 4, 6, 8, 0) Wolfram Alpha Method (a) (b) ODD number (1, 3, 5, 7, 9) (c) Selection x² B000 x² z(x, y) = A + z(x, y) = B + y² ВО Write down the selection of function z(x, y) according to the input variables of A and B. [" [" z(x, a C y² A000 АО To show the 3D graph of the roof, the function z(x, y) above the floor region-A≤x≤Band -12 ≤ y ≤ 12 Double Integral Determine the value of the upper and lower limits of a, b, c, and d. Calculate the volume of the structure by using double integrals. z(x,y) dx dy
The roof of a square floor (20m x 20m) base structure can model as z(x, y) where (x, y) is the coordinate of the floor with (0,0) as the coordinate of the centre of the floor. Last digit of the Student ID EVEN number (2, 4, 6, 8, 0) Wolfram Alpha Method (a) (b) ODD number (1, 3, 5, 7, 9) (c) Selection x² B000 x² z(x, y) = A + z(x, y) = B + y² ВО Write down the selection of function z(x, y) according to the input variables of A and B. [" [" z(x, a C y² A000 АО To show the 3D graph of the roof, the function z(x, y) above the floor region-A≤x≤Band -12 ≤ y ≤ 12 Double Integral Determine the value of the upper and lower limits of a, b, c, and d. Calculate the volume of the structure by using double integrals. z(x,y) dx dy
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
the student number is 14096895
And a=4,b=2
Transcribed Image Text:1.
The roof of a square floor (20m x 20m) base structure can model as
z(x,y) where (x, y) is the coordinate of the floor with (0,0) as the
coordinate of the centre of the floor.
Last digit of the Student ID
EVEN number (2, 4, 6, 8, 0)
Wolfram Alpha Method
(a)
(b)
(c)
ODD number (1, 3, 5, 7, 9)
(d)
Selection
x²
B000
x²
y²
A000 AO
z(x, y) = A +
z(x, y) = B +
S² S²²
Write down the selection of function z(x, y) according to the
input variables of A and B.
To show the 3D graph of the roof, the function z(x, y) above the
floor region - A≤x≤ B and -12 ≤ y ≤ 12
Double Integral
Determine the value of the upper and lower limits of a, b, c, and
d. Calculate the volume of the structure by using double
integrals.
y²
ВО
z(x,y) dx dy
Change Order of Double Integral
Determine the value of the upper and lower limits of e, f, g, and
h. Calculate the volume of the structure by using both double
integrals.
z(x,y) dy dx
Math Integration Method
(e) Determine the structure's volume using the math integration
method for part 1(c).
[" ["z(x,y) dx dy
Comments on the results for parts 1(c), 1(d) and 1(e).
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