1. The roof of a square floor (20m x 20m) base structure can be modelled by z(x, y) = B 4000 A0, Where (x, y) is the coordinate of the floor with (0,0) as the coordinate of the centre of the floor. Wolfram Alpha Method (a) Write the function z(x, y) according to the input variables of A and B. (b) To show the 3D graph of the roof, the function z(x, y) above the floor region-A≤x≤B and -10 ≤ y ≤ 10
1. The roof of a square floor (20m x 20m) base structure can be modelled by z(x, y) = B 4000 A0, Where (x, y) is the coordinate of the floor with (0,0) as the coordinate of the centre of the floor. Wolfram Alpha Method (a) Write the function z(x, y) according to the input variables of A and B. (b) To show the 3D graph of the roof, the function z(x, y) above the floor region-A≤x≤B and -10 ≤ y ≤ 10
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
100%
That is A =3 and B=2
Use thses values of A and B
And solve only q1(a and b)part
Transcribed Image Text:1.
The roof of a square floor (20m x 20m) base structure can be
modelled by
z(x, y) = B-
Where (x, y) is the coordinate of the floor with (0,0) as the coordinate
of the centre of the floor.
Wolfram Alpha Method
x3
4000 A0
(a) Write the function z(x, y) according to the input variables of A
and B.
(c)
(b) To show the 3D graph of the roof, the function z(x, y) above
the floor region-A≤x≤B and -10 ≤ y ≤ 10
(e)
Determine the value of the upper and lower limits of a, b, c, d,
e, f, g, and h. Calculate the volume of the structure by using
both double integrals.
[["²₂²
SS
z(x,y) dx dy
z(x, y) dy dx
Math Integration Method
(d) Determine the value of the upper and lower limits of a, b, c, and
d of the double integral and find the structure's volume using
the math integration method.
[["²
z(x, y) dx dy
Comments on the results for parts 1(c) and 1(d).
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