5 Steps to a 5 AP Calculus BC 2019

388 STEP 5. Build Your Test-Taking Confidence

Answers to BC Practice Exam 1---Section II

Part A

1. (A) 76 ◦ (2 pts.)

(B) 82.7◦ (2 pts.)

(C) 3. 7 <t< 8. 9 (2 pts.)

(D) $3 (3 pts.)

2. (A) (2 pts.)

(B) 2.040 (3 pts.)

(C) y= 2 e

x 32

;2. 061 (4 pts.)

Part B

3. (A) 360 (3 pts.)

(B) 12 m/sec (1 pt.)

(C) 0 .4 m/sec^2 (2 pts.)

(D) 0 .75 m/sec^2 (1 pt.)

(E) 18 <t< 30 (2 pts.)

4. (A) 4 (2 pts.)

(B)

128 π

7

(2 pts.)

(C) 26 /^7 (3 pts.)

(D)

128

7

(2 pts.)

5. (A) f(x)≈ 1 + 6 x− 2 x^2 + 5 x^3 ;

f(0.1)≈ 1. 585 (5 pts.)

(B) g(x)≈ 1 + 6 x^2 − 2 x^4 + 5 x^6 (2 pts.)

(C) h(x)≈x+ 2 x^3 −

2

5

x^5 +

5

7

x^7 (2 pts.)

6. (A)

dy

dx

=

sinθ

1 −cosθ

(2 pts.)

(B) y= 4 (2 pts.)

(C) x= 4 π (3 pts.)

(D)L=

∫ 2 π

0

√

[2(1−cosθ)]^2 +[2 sinθ]^2 dθ

= 2

√

2

∫ 2 π

0

√

1 −cosθdθ (2 pts.)