C1.1) Let the target box be defined as T₁: (min₁, min2) = (1, 0), (max₁, max2) = (2, 3). What are the coordinates of (0.5, 0.5) once it is mapped to T₁? C1.2) Let the coordinates of triangle vertices in the local [d₁.d₂]-system unit square be given by (U₁U2) = (0.5, 0.3), (V1, V2) = (0.7, 0.3), (W1,W2) = (0.6, 0.7). a) If the [d₁.d₂]-system unit square is mapped to the target box with (min1,min2) =(2, 1) and (max₁,max2) = (5,5), Where are the coordinates of the triangle vertices mapped? b) What local coordinates correspond to (x₁,x2,) = (4, 3) in the [e1,e2]-system? C1.3) Suppose we are given a global frame defined by (min₁, min2, min3) = (0, 1, 3) and (max₁,max2,max3) = ( 6, 4, 5). For the coordinates (1, 3, 2) and (0, 0, 0) in this frame, what are the corresponding coordinates in the [d₁.d₂2,d3]-system?
C1.1) Let the target box be defined as T₁: (min₁, min2) = (1, 0), (max₁, max2) = (2, 3). What are the coordinates of (0.5, 0.5) once it is mapped to T₁? C1.2) Let the coordinates of triangle vertices in the local [d₁.d₂]-system unit square be given by (U₁U2) = (0.5, 0.3), (V1, V2) = (0.7, 0.3), (W1,W2) = (0.6, 0.7). a) If the [d₁.d₂]-system unit square is mapped to the target box with (min1,min2) =(2, 1) and (max₁,max2) = (5,5), Where are the coordinates of the triangle vertices mapped? b) What local coordinates correspond to (x₁,x2,) = (4, 3) in the [e1,e2]-system? C1.3) Suppose we are given a global frame defined by (min₁, min2, min3) = (0, 1, 3) and (max₁,max2,max3) = ( 6, 4, 5). For the coordinates (1, 3, 2) and (0, 0, 0) in this frame, what are the corresponding coordinates in the [d₁.d₂2,d3]-system?
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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Please answer this question fast.
![C1.1) Let the target box be defined as
T₁: (min₁, min2) = (1, 0), (max₁, max2) = (2, 3).
What are the coordinates of (0.5, 0.5) once it is mapped to T₁?
C1.2) Let the coordinates of triangle vertices in the local [d₁,d₂]-system unit square be given by
(U₁,U2) = (0.5, 0.3), (V1,V2) = (0.7, 0.3), (W1,W2) = (0.6, 0.7).
a) If the [d1.d₂]-system unit square is mapped to the target box with
(min1,min2) = (2, 1) and (max₁,max2) = (5, 5),
Where are the coordinates of the triangle vertices mapped?
b) What local coordinates correspond to (x1,x2,) =(4, 3) in the [e1,e2]-system?
C1.3) Suppose we are given a global frame defined by (min1, min2, min3) = (0, 1, 3) and_
(max1,max2,max3) = ( 6, 4, 5). For the coordinates (1, 3, 2) and (0, 0, 0) in this frame, what are
the corresponding coordinates in the [d₁.dz,d3]-system?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff3d67431-4793-4605-884b-9b91f9d63d56%2Fba58a0d2-e06f-4f3c-9264-6a7e526e3c51%2Frcvu1z6_processed.png&w=3840&q=75)
Transcribed Image Text:C1.1) Let the target box be defined as
T₁: (min₁, min2) = (1, 0), (max₁, max2) = (2, 3).
What are the coordinates of (0.5, 0.5) once it is mapped to T₁?
C1.2) Let the coordinates of triangle vertices in the local [d₁,d₂]-system unit square be given by
(U₁,U2) = (0.5, 0.3), (V1,V2) = (0.7, 0.3), (W1,W2) = (0.6, 0.7).
a) If the [d1.d₂]-system unit square is mapped to the target box with
(min1,min2) = (2, 1) and (max₁,max2) = (5, 5),
Where are the coordinates of the triangle vertices mapped?
b) What local coordinates correspond to (x1,x2,) =(4, 3) in the [e1,e2]-system?
C1.3) Suppose we are given a global frame defined by (min1, min2, min3) = (0, 1, 3) and_
(max1,max2,max3) = ( 6, 4, 5). For the coordinates (1, 3, 2) and (0, 0, 0) in this frame, what are
the corresponding coordinates in the [d₁.dz,d3]-system?
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