The answer I provided for (x-5)^2 is said to be wrong. Please help me rectify the problem. Also please help me find that of (y-3)^2 and (z-1)^2 .

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Hello, Please assist me with this homework. The answer I provided for (x-5)^2 is said to be wrong. Please help me rectify the problem. Also please help me find that of (y-3)^2 and (z-1)^2 . Thanks
>
Show that the vector-valued function shown below describes the motion of a particle moving in a circle of radius 1 centered at the point (5,3,1) and lying in the plane
x+y-2z=6.
1
1
1
1
1
r(t) = (5i +3j+k) + cost
√2)
+ sin t
i+
First write the three parametric equations for x, y, and z. What is the parametric equation for x?
1
1
X = 5+
cost+
sint
(Type an exact answer, using radicals as needed.)
What is the parametric equation for y?
1
1
y = 3- cost+ sint
√2 √√3
(Type an exact answer, using radicals as needed.)
4
What is the parametric equation for z?
z = 1+
1
sint
√3
(Type an exact answer, using radicals as needed.)
Subtract the constant from both sides and square both sides of each equation. Expand the right side of the resulting equation for the parameter x.
cos ²1 sin ²1 sin (21)-10√2 sint-10√2 cost
2
Transcribed Image Text:> Show that the vector-valued function shown below describes the motion of a particle moving in a circle of radius 1 centered at the point (5,3,1) and lying in the plane x+y-2z=6. 1 1 1 1 1 r(t) = (5i +3j+k) + cost √2) + sin t i+ First write the three parametric equations for x, y, and z. What is the parametric equation for x? 1 1 X = 5+ cost+ sint (Type an exact answer, using radicals as needed.) What is the parametric equation for y? 1 1 y = 3- cost+ sint √2 √√3 (Type an exact answer, using radicals as needed.) 4 What is the parametric equation for z? z = 1+ 1 sint √3 (Type an exact answer, using radicals as needed.) Subtract the constant from both sides and square both sides of each equation. Expand the right side of the resulting equation for the parameter x. cos ²1 sin ²1 sin (21)-10√2 sint-10√2 cost 2
Show that the vector-valued function shown below describes the motion of a particle moving in a circle of radius 1 centered at the point (5,3,1) and lying in the plane
x+y-2z=6.
1
r(t) = (5i +3j+k) + cost
i-
+ sin t
x = 5+
cost+
sin t
√√2
√3
(Type an exact answer, using radicals as needed.)
What is the parametric equation for y?
Incor
1
1
y = 3- cost+ sint
√√2
√√3
(Type an exact answer, using radicals as needed.)
What is the parametric equation for z?
1
z = 1+
sint
√√3
(Type an exact answer, using radicals as needed.)
Subtract the constant from both sides and square both sides of each equation. Expand the right side of the resulting equation for the parameter x.
cos ²2+
sin ²t sin (21)-10√2 sint-10√2 cost
(x-5)²-
2
+ 25
√6
(Type an exact answer, using radicals as needed.)
Transcribed Image Text:Show that the vector-valued function shown below describes the motion of a particle moving in a circle of radius 1 centered at the point (5,3,1) and lying in the plane x+y-2z=6. 1 r(t) = (5i +3j+k) + cost i- + sin t x = 5+ cost+ sin t √√2 √3 (Type an exact answer, using radicals as needed.) What is the parametric equation for y? Incor 1 1 y = 3- cost+ sint √√2 √√3 (Type an exact answer, using radicals as needed.) What is the parametric equation for z? 1 z = 1+ sint √√3 (Type an exact answer, using radicals as needed.) Subtract the constant from both sides and square both sides of each equation. Expand the right side of the resulting equation for the parameter x. cos ²2+ sin ²t sin (21)-10√2 sint-10√2 cost (x-5)²- 2 + 25 √6 (Type an exact answer, using radicals as needed.)
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