Question

Find the unit tangent vector T and the principal unit normal vector N for the following curve.

r(t) = (9t,9ln(cost)) for -(pi/2) < t < pi/2

Answer #1

Consider the following vector function.
r(t) = <9t,1/2(t)2,t2>
(a) Find the unit tangent and unit normal vectors
T(t) and
N(t).
(b) Use this formula to find the curvature.
κ(t) =

Find the unit tangent vector T and the principle unit normal
vector N of ⃗r(t) = cos t⃗i + sin t⃗j + ln(cos t)⃗k at t = π .

20. Find the unit tangent vector T(t) and then use it to find a
set of parametric equations for the line tangent to the space curve
given below at the given point.
r(t)= -5t i+ 2t^2 j+3tk, t=5

Given r(t) = (et cos(t) )i + (et sin(t) )j
+ 2k. Find
(i) unit tangent vector T.
(ii) principal unit normal vector N.

Find the unit tangent vector T(t) and the curvature κ(t) for the
curve r(t) = <6t^3 , t, −3t^2 >.

At a given point on a smooth space curve r(t), T(t) is the unit
tangent vector, N(t) is the principle unit normal vector and B(t)
is the binormal vector. Which of the following are correct? (The
multiple-choice question might have more than one correct answer.
Circle all correct answers for full credit.) Group of answer
choices
A)None of the above has to be true.
B) T ( t ) ⋅ T ′ ( t ) = 0
C) | B...

Q-1
please uplode a clear photo
- determine the unit tangent and normal vector to the curve
r(t)=< 2t^2 , 4t > , at t=1

Find the unit tangent vector T(t) at
the point with the given value of the parameter t.
r(t) =
t2 − 4t, 1 + 5t,
1
3
t3 +
1
2
t2
, t = 5

Given the vector function r(t) ( cos3t,sin3t,t) and t=pi/9 ,
find the following.
(a) the curvature at given t,
(b) the unit tangent vector T at given t

Find the vectors T and N and
the binormal vector B = T ⨯
N, for the vector-valued function
r(t) at the given value of
t.
r(t) = 6 cos(2t)i + 6
sin(2t)j +
tk, t0 =
pi/4
find:
T(pi/4)=
N(pi/4)=
B(pi/4)=

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 5 minutes ago

asked 20 minutes ago

asked 23 minutes ago

asked 23 minutes ago

asked 24 minutes ago

asked 25 minutes ago

asked 35 minutes ago

asked 38 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago