The graph below shows a triangle with sides L₁, L₂ and L. The sides are given by the following parametric equations with their endpoints specified. In the following, find the area of the triangle using Lady-1 x dy = x dy = 1 [₁=dy=[ Area of the triangle == —— dt= dt L₁: Set up the three integrals on the right with the given and y. Keep all coefficients and values exact. dt= L₂: L3: x=t y = 12 + #=1- - x= 7+3t y=4+8t area = 9 3 2 boundary L2 (t-10) 8) L1 x dy = L3 X between (1,8) and (10, 12) between (1,8) and (7,4) between (7,4) and (10, 12) - [ w dy + [n dy + [₂ m dy Erg In
The graph below shows a triangle with sides L₁, L₂ and L. The sides are given by the following parametric equations with their endpoints specified. In the following, find the area of the triangle using Lady-1 x dy = x dy = 1 [₁=dy=[ Area of the triangle == —— dt= dt L₁: Set up the three integrals on the right with the given and y. Keep all coefficients and values exact. dt= L₂: L3: x=t y = 12 + #=1- - x= 7+3t y=4+8t area = 9 3 2 boundary L2 (t-10) 8) L1 x dy = L3 X between (1,8) and (10, 12) between (1,8) and (7,4) between (7,4) and (10, 12) - [ w dy + [n dy + [₂ m dy Erg In
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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Transcribed Image Text:The graph below shows a triangle with sides L₁, L and L.
The sides are given by the following parametric equations with their endpoints specified.
In the following, find the area of the triangle using
1₁=4 = 1
dy
Lady-s
x dy =
1₁₂=dy=[
Area of the triangle =
—
dt =
dt
L₁:
dt =
L₂:
Set up the three integrals on the right with the given and y. Keep all coefficients and values exact.
L3:
x=t
y = 12 + (t-10)
9
3
#=1- (t - 8)
y=t
x= 7+3t
y=4+8t
area =
boundary
L2
z dy
=
L1
J In
20
L3
X
between (1,8) and (10, 12)
between (1,8) and (7,4)
between (7, 4) and (10, 12)
dy +
+ √². de
dy
x dy +
La
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