# Middle Tennessee State University Quadric Surface Calculus Question

Description

There will be 7 questions multiple choice and file the blank. You will have 1 hour to finish it and I only need final answers.

Question 1
3 pts
Identify the quadric surface with equation x² – 4y2 + z2 + 16 = 0).
ellipsoid
hyperboloid of two sheets
hyperboloid of one sheet
elliptic cone
Question 2
3 pts
Which of the following vector functions represents the curve of intersection of the cylinder
x² + y2 = 4 and the plane x + z = 3?
Ot) = cos 2ti + sin 2t;+ (3 – cos 2t)k, 0 SISA
O At) = 4 cos ti + 4 sin tj + (3 – 4 cost)k, OSIS 250
At) = 2 costi + 2 sin tj+(3 – 2 cost)k, O S1 S2
O At) = (3 – cos 2t)i + cos 21; + sin 2tk, O SIST
Question 3
3 pts
Let At) = (sin 3t + 2t)i + (te)j + (x3 + 2t)k.
Find the unit tangent vector at the point where t = 0.
O 70) = visit Topit Vzök
7(0) = a + aj + ì *
70) = i+ koj+ isk
ai+ Wait
– H
O 7(0) =
Question 4
3 pts
Evaluate
eſ
ht) dt, where At)
=
thi+ e’;+2k.
O (2 In 3)i + 3(e – 1); + Ok
(2 In \t + 1])i + je?’ ;+ 2+k+ C
(2 ln 3)i + fe°;+44
(2 ln 3)i + }(eº – 1)j+46
Question 5
3 pts
Which of the following represents the arc length of the vector function At) = (sin 2t, e3″, 1) on
the interval 1