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The two curves in the three dimensional space IR3 intersect at the point P 1) The tangent vector at t=0 to r₁(t) is Number 7₁ (t) = (t + 4)i + (t² +16)j + tk r2 (s) = si+s²j+(8-4) k 2) The tangent vector at s = 0 to r2 (8) is Number i+ 4 16 Number i+ Number 3) Find to so that r1(to) = P and write your answer in the box below Number 4) Find so so that r2(s0) = P and write your answer in the box below Number j+ Number j+ Number k. k.

The two curves in the three dimensional space IR3 intersect at the point P 1) The tangent vector at t=0 to r₁(t) is Number 7₁ (t) = (t + 4)i + (t² +16)j + tk r2 (s) = si+s²j+(8-4) k 2) The tangent vector at s = 0 to r2 (8) is Number i+ 4 16 Number i+ Number 3) Find to so that r1(to) = P and write your answer in the box below Number 4) Find so so that r2(s0) = P and write your answer in the box below Number j+ Number j+ Number k. k.

Advanced Engineering Mathematics
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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The two curves in the three dimensional space R³ intersect at the point P 1) The tangent vector at t = 0 to r₁(t) is Number 2) The tangent vector at s = 0 to r2 (s) is Number 7₁ (t) = (t + 4)i + (t² +16)j + tk r₂ (s) = si+s²j+(s— 4) k i+ 4 16 0 s(²). Number i+ Number 3) Find to so that r1(to) = P and write your answer in the box below Number 4) Find so so that r2(s0) = P and write your answer in the box below Number j+ Number type arccos (2/3)). j+ Number 5) Find the angle between between the two curves at the point of intersection P. Write the exact value of your answer in the box below using Maple Syntax (for example, if your answer is arccos k & P k.
Transcribed Image Text:The two curves in the three dimensional space R³ intersect at the point P 1) The tangent vector at t = 0 to r₁(t) is Number 2) The tangent vector at s = 0 to r2 (s) is Number 7₁ (t) = (t + 4)i + (t² +16)j + tk r₂ (s) = si+s²j+(s— 4) k i+ 4 16 0 s(²). Number i+ Number 3) Find to so that r1(to) = P and write your answer in the box below Number 4) Find so so that r2(s0) = P and write your answer in the box below Number j+ Number type arccos (2/3)). j+ Number 5) Find the angle between between the two curves at the point of intersection P. Write the exact value of your answer in the box below using Maple Syntax (for example, if your answer is arccos k & P k.
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