Match each curve to one of the vector functions below.Possible vector functions:1. r (t) = (cos(t), sin(t), t)2. r (t) = (2 cos(t), 1 + 4 cos(t), 3 cos(t))3. r (t)=(cos(t), sin(t³), t³)4. r (t) = (cos(t), sin(t), 1+ 4 sin(t))5. r (t)6. r (t)=(t cos(t), t sin(t), t)(cos(t), sin(t), t³)7. r (t) = (cos(t), sin(t), 1 + sin(4t))Curve ACurve BУXYXيع ٧Curve CY

Step 1:Curve A is a circle when projected to the xy plane. But it exhibits sinusoidal variation in…

Answered: Match each curve to one of the vector…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.4: The Dot Product

Problem 29E

See similar textbooks

Similar questions

4) For the following vector functions, identify the shape of graph they would represent: a. r(t) = (2+ 3t, 5, -2-t) b. r(t) = (2, cos(3t), sin(3t)) c. r(t) = (t,5, t²)
calculate speed only, the rest are done.
The position vector r describes the path of an object moving in the xy-plane. Position Vector Point r(t) = 2 cos ti + 2 sin tj (VZ, V2) (a) Find the velocity vector, speed, and acceleration vector of the object. v(t) = s(t) a(t) = (b) Evaluate the velocity vector and acceleration vector of the object at the given point. a(#) =
Calc 3
The position vector r describes the path of an object moving in the xy-plane. Position Vector Point r(t) = 6 cos ti + 6 sin tj (3V2, 3V2) (a) Find the velocity vector v(t), speed s(t), and acceleration vector a(t) of the object. v(t) = s(t) a(t) (b) Evaluate the velocity vector and acceleration vector of the object at the given point. E) - =
Let r(t) (15, cos t, -3 sin t) be the position vector of an object. Find the velocity and speed of the object.
9) Sketch the curve with the given vector equation. Indicate with an arrow the direction in which t increases. r(t)=(1, cos(t), 2sin(t))
Match each given vector equation with the corresponding curve. 7x r(t)-(2³), ) (sin(t), t) r(t)-(t, cos(2), sin(2t)) r(t)=(1+t, 3t, -t) r(t) cos(t) i-cos(t) j+ sin(t) k r(t) = ²²³1 +²^²y + ºk r(t) = ²+1+2k 2 r(t)-(1, cos(t), 2 sin(t)) 2 7 2 7 ? r(t) M (c) (a) ~~ DOO (1,0) of 1,0) لے (h) X** (d) (1) (1,0,0) (0,0,2)
2) Let two vector functions be defined by r₁(t) = (2t, t², t²) r₂(t) = (sint, sin(3t), 5t) a. Find any intersection point of the functions. Is it a collision point? b. Find the angle of intersection at the intersection point.
Can you explain this question? The answer shown is correct, but I don't understand why we take the derivative to get the velocity.
Can you please help me solve this problem. I have attached the vector equation in the other image.
Given the vector r(t) = { cosineT, sineT, Ln (CosineT) } and point (1, 0, 0) find vectors T, N and B at that point. Vector T is the unit tangent vector, so the derivative r(t) is needed. Vector N is the normal unit vector, and the equation for it uses the derivative of T(t). The B vector is the binormal vector, which is a crossproduct of T and N.

Recommended textbooks for you

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Trigonometry (MindTap Course List)

Trigonometry

ISBN:

9781337278461

Author:

Ron Larson

Publisher:

Cengage Learning

Elementary Geometry For College Students, 7e

Geometry

ISBN:

9781337614085

Author:

Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:

Cengage,

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Trigonometry (MindTap Course List)

Trigonometry

ISBN:

9781337278461

Author:

Ron Larson

Publisher:

Cengage Learning

Elementary Geometry For College Students, 7e

Geometry

ISBN:

9781337614085

Author:

Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:

Cengage,

SEE MORE TEXTBOOKS