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

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