The vertices of the triangle element fit on the coordinates (x1 = 1, y1 = 1), (x2 = 6, y2 = 1) and (x3 = 3, y3 = 4). The function f (x, y) acts on the area occupied by the element, and the value of this function is given as fl = 900 in corner no.1, f2 = 600 in corner no.2, f3 = 1200 in corner no.3. Calculate the value of this function at the point (3,2) by means of the interpolation functions of this element.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
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The vertices of the triangle element fit on the coordinates (x1 = 1, yl = 1), (x2 = 6, y2 = 1)
and (x3 = 3, y3 = 4).
The function f (x, y) acts on the area occupied by the element, and the value of this function is
given as fl = 900 in corner no.1, f2 = 600 in corner no.2, f3 = 1200 in corner no.3.
Calculate the value of this function at the point (3,2) by means of the interpolation functions
of this element.
y
3
2
X
Transcribed Image Text:The vertices of the triangle element fit on the coordinates (x1 = 1, yl = 1), (x2 = 6, y2 = 1) and (x3 = 3, y3 = 4). The function f (x, y) acts on the area occupied by the element, and the value of this function is given as fl = 900 in corner no.1, f2 = 600 in corner no.2, f3 = 1200 in corner no.3. Calculate the value of this function at the point (3,2) by means of the interpolation functions of this element. y 3 2 X
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