Applying Vectors in the Plane — Cumulative exam

Question 1

What is the radius and center of a circle with the equation (x – 2)2 + (y – 3)2 = 36?

Revolt · Accepted Answer

radius: 6 units; center: (2, 3)

Question 2

What is the value of the expression ?

Revolt · Accepted Answer

338,650

Question 3

Given u = and v = ⟨3, –4⟩, what is u · v?

Revolt · Accepted Answer

3 StartRoot 3 EndRoot + 4

Question 4

Given vectors u = ⟨–5, 1⟩ and v = ⟨8, 6⟩, which statement is true for u and v?

Revolt · Accepted Answer

The vectors form an obtuse angle.

Question 5

Which expression is equivalent to ?

Revolt · Accepted Answer

(StartFraction 1 over 32 EndFraction (cosine (pi) plus i sine (pi))

Question 6

If , what are the first three terms of the sequence defined by the recursive formula below?

Revolt · Accepted Answer

2, 8, 26

Question 7

The fifth term of a geometric sequence is 781.25. Each term of the sequence is of the value of the following term. Which recursive formula represents the situation?

Revolt · Accepted Answer

mc019-2.jpg

Question 8

Question 48

Revolt · Accepted Answer

(25, 0)

Question 9

Let |a| = 12 at an angle of 25° and |b| = 7 at an angle of 105°. What is the magnitude of a + b? Round to the nearest decimal.

Revolt · Accepted Answer

14.9

Question 10

What is sum of the geometric series ?

Revolt · Accepted Answer

2,046

Applying Vectors in the Plane — Cumulative exam Answers

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