Consider the curve C shown in the attached figure, which is the intersection between the surfaces S1 and S2, with S1: z = 4 - x2 and S2: x + y = 4a, for a > 1. Furthermore, the curve C it is bounded by the planes z = 0 and z = 3x. A parameterization of curve C is:
Consider the curve C shown in the attached figure, which is the intersection between the surfaces S1 and S2, with S1: z = 4 - x2 and S2: x + y = 4a, for a > 1. Furthermore, the curve C it is bounded by the planes z = 0 and z = 3x. A parameterization of curve C is:
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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Consider the curve C shown in the attached figure, which is the intersection between the surfaces S1 and S2, with S1: z = 4 - x2 and S2: x + y = 4a, for a > 1. Furthermore, the curve C
it is bounded by the planes z = 0 and z = 3x.
A parameterization of curve C is:
See the possible answer in the image
Transcribed Image Text:z = 4 – a?
z = 3x
C
a +y = 4a
![A) r(t) =t î + (4a – t) ĵ+(4 – t²) k, para 0 <t<1
B) F(t) = (4a – t) î +t ŷ+[4 – (4a – t)*] k, para 4a – 2<t< 4a
C) F(t) = tî+ (4 – t²) ĵ+ (4a – t) k, para 1<t< 2
D) F(t) = (4a – t) î + t ĵ+ [4 – (4a – t)] k, para 4a – 2 <t < 4a – 1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9c82aeed-0fd6-4f1b-a968-fd97dd9577ea%2Fe9b281eb-7644-412c-aeb1-28b3f3def889%2Fyiv0gee_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A) r(t) =t î + (4a – t) ĵ+(4 – t²) k, para 0 <t<1
B) F(t) = (4a – t) î +t ŷ+[4 – (4a – t)*] k, para 4a – 2<t< 4a
C) F(t) = tî+ (4 – t²) ĵ+ (4a – t) k, para 1<t< 2
D) F(t) = (4a – t) î + t ĵ+ [4 – (4a – t)] k, para 4a – 2 <t < 4a – 1
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