2.1-2.6 2018 BC.pdf - Name Date Favorite Bear BC...

Name________________________________________ Date____________ Favorite Bear_________________
BC Calculus TEST: 2.1 - 2.6, NO CALCULATOR
Part I: Multiple Choice—Put the correct CAPITAL letter in the space to the left of each question.
_____1. If
(
sec f x x = , find
( (
0 h
f h f
h
π π
→
′ ′ + -
. lim
(A) 1 - (B) 0 (C) 1 (D) 2 (E) 2 -
_____ 2. If
( 29 3
cot f x x x = , what is
(
f x
(A)
2
3
2
cot 3 csc
3
x x x
x
+
(B)
3
2
cot 3 csc
3
x x x
x
-
(C)
3
2
3 csc cot
3
x x x
x
-
(D)
2
csc cot
3
x x
x
-
(E)
3
2
csc cot
3
x x
x
_____ 3. If
( 29
2
2 2,
3,
ax x x
f x
bx x

+ < - 
=

≥ -


, what is the value of b that makes
(
f x differentiable at 1 x = -
′
?
2 2
3
1
1
?
1
2
-
_____ 4. A particle (named Happy Joseph) moves along the x -axis such that at any time 0 t ≥ , his position
function is given by
( 29 3 2
9 15 2 x t t t t = - + + . On what intervals of t is Happy Joseph moving right?