151 Spring '09 Exam 1 Review Answers

Section 1.1

1.

2. a + b and c-a is one possible answer set.

3.

Section 1.2

1. π/4

2.

3. 40 Joules

Section 1.3

1. x(t) = 2 - t y(t) = -3 + 5t

2. feet

3. Starting at (0, -2), move counterclockwise around the ellipse = 1 to ( 0, 2). (halfway around)

4. a) 16/5 b)

Section 2.2

1. a) ∞ b) DNE c) -2

Section 2.3

1 a) 2/3 b) -1/25 c) 5 d)

Section 2.5

1. left continuous at x=5, not right continuous

2. c = 3/2 3. N=1

Section 2.6

1a) -2 b) -3 c) -3/2

Section 2.7

1. 3 m/sec

2. v = < 1, 8 > x(t) = -2 + t y(t) = 4 + 8t

3. The slope is 3/8 .

Section 3.1

1.

2. continuous at 0 but not differentiable at 0

3. A = 10, B = -8

4. x=1, x=2, x=4

Section 3.2

1.

2.

3. The tangent line is y = 24x - 66.

4. a=3 and a=1

5. The tangent line is y = 13x + 2.