QUIZ 9
Math 1320-004
Friday, November 8
Name:
by writing my name T swear by the honor code
You have 10 minutes to complete this quiz. No notes, books or calculators are allowed.
1. ( points)
Consider a 3-d curve (t). Write down a formula that calculates arc length,,s,
as a function of a time-like parameter, t.
5.
,
W’Idt
2. (4
points) Calculate the unit tangent vector at the point where t
=
(1 + 3
t + te_t + sin(2t)
)
1
‘
‘(0)
L
—
T
3. (4
0 for the curve
f
I
)r
2j
r
101
r’(o’
points) Calculate the curvature,
J’J
i,
i(t)
as a function of parameter t for the curve
=
3+t
t
2
A
y•J)
)vxr1i
11
‘
V