384 STEP 5. Build Your Test-Taking Confidence
- The amount of a certain bacteriayin a Petri
dish grows according to the equation
dy
dt
=ky,
wherekis a constant andtis measured in
hours. If the amount of bacteria triples in
10 hours, thenk≈
(A) − 1. 204
(B) − 0. 110
(C) 0.110
(D) 1.204
- The area of the region enclosed by the graphs
ofy=cosx+1 andy= 2 + 2 x−x^2 is
approximately
(A) 3.002
(B) 2.424
(C) 2.705
(D) 0.094
- How many points of inflection does the graph
ofy=
sinx
x
have on the interval (−π,π)?
(A) 0
(B) 1
(C) 2
(D) 3
- Givenf(x)=x^2 ex, what is an approximate
value off(1.1), if you use a tangent line to the
graph off atx=1?
(A) 3.534
(B) 3.635
(C) 7.055
(D) 8.155
- The area of the region bounded by
y=− 3 x^2 +kx−1 and thex-axis, the lines
x=1 andx=2 is approximately 5.5. Find the
value ofk.
(A) 9
(B) 11
(C) 5.5
(D) 16.5
- At which of the following values ofxdo the
graphs ofy=x^2 andy=−
√
xhave
perpendicular tangent lines?
(A) − 1
(B)
1
4
(C) 1
(D) None
- Using Euler's Method, what is the approximate
value ofy( 1 )ify( 0 )=4,
dy
dx
= 2 x, and a step
size of 0.5 starting atx=0?
(A) 3 (B) 3.5 (C) 4 (D) 4.5
STOP. AP Calculus BC Practice Exam 1 Section I Part B
