(1) A curve & with (z) = (2,-4,4), L(-2) = (0,2 54). Find K(-2), B(2). (2) Choose the right answer: (a) The curvature of the curve: x²-2x + y² = 15 is ठि 4 VIS (b) Which of the following is a Frenet matrix? BJ [] [1] (C) If the slope angle of the planar curve Øs) = Sin's, then K= (3) Let (s) be a = √3 GT plu 즐 a curve with 11 Z(+)||/= t²+t (d) If Lt) is then the Singularity of 2 occurs. {-1} {1} {o} {10} a Planar unit speed curve with B (s) = a + b(s) № where a(s) = tans. (a) Find the curvature of P. (b) Find b(s). (4) A Curve 2: I R²³ is assumed to have kit= sphere of radius=7. Find its on and lies Possible domain I (5) A curve I is a cylindrical helix with tono = √ If the curvature K and torsion I of & satisfy then find the value of C. [] CK+Ct² K 1+t² 2 B (s) is at te. {-1₂0} ***** 0 = 1/-/-

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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2 8:26 IC
91%}0
لا توجد خدمة
zain JO
(1) A Curve a with aa) = (2,-4,4), Z = (0 ,2 54).
Find Kea), B(-2).
(2) Choose the right answer:
(a) The curvature of the curues x2x+y=15 is
VI5
15
(b) Which of the following is
Frenet matrix ?
a
(C) If the slepe angle af the planar curve Bes) is
ØS) = Sns, then KG:
V3
(d) If Zt) is
then the Singularity of 2 occurs
a curve with IZON= t²+t,
t te .....
(3) Let Bu) be
a planar unit speed curue with
PIS) = a)T + b(s) N where als) = tan's.
(a) Find the curuature of B.
(b) Find bes).
(4) A curve 2:IR is assumed to have kiD=
and lies on
a sphere af radins =7. Find its
Possible demainn I
(5) A
Curve a is a cylindrical helix with tano =
If the Curvature K and torsion T of x Satisfy
CK +ct?K
then finod the unlue ofc.
5
D
Transcribed Image Text:2 8:26 IC 91%}0 لا توجد خدمة zain JO (1) A Curve a with aa) = (2,-4,4), Z = (0 ,2 54). Find Kea), B(-2). (2) Choose the right answer: (a) The curvature of the curues x2x+y=15 is VI5 15 (b) Which of the following is Frenet matrix ? a (C) If the slepe angle af the planar curve Bes) is ØS) = Sns, then KG: V3 (d) If Zt) is then the Singularity of 2 occurs a curve with IZON= t²+t, t te ..... (3) Let Bu) be a planar unit speed curue with PIS) = a)T + b(s) N where als) = tan's. (a) Find the curuature of B. (b) Find bes). (4) A curve 2:IR is assumed to have kiD= and lies on a sphere af radins =7. Find its Possible demainn I (5) A Curve a is a cylindrical helix with tano = If the Curvature K and torsion T of x Satisfy CK +ct?K then finod the unlue ofc. 5 D
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