1998 Multiple Choice AP Calculus AB

"Put

ECTIO.

rnmute

to

DlteCl1on:

inmg the:

oval on

each of the foiloWln problem. th ch IC which th ee No di wi

usmg the:

111)

of

lllIythmg

(or

th

cratchwork. in

te

00 nol

pend 100

mu umed

in

In numbe h:ll

th

-coord -coordrna rnate te of th

pcmt

1be

gfllph ot

infl infl ctIO ctIO

rc

(B

_lQ

-I

[/C),.)d.I. (8

IV

_I

1 8 1 -

_4

10

D)

hO\\n:l

\1:.

\\'h;al

rb

\'lLI~

b,

4.

fI llowing

aJ e?

orne

(A) /,(c

(B (e)

b,

(D)

b.

ft

(E)

tI

1S

n \

\'

6.

(C)

(B)

O.

when

,,:0 (e)~

. -

) -

uh

he ol ow

fo

g(x) II

If

)g( c)

/'

an

/(t) /(t) '(.l '(.l

h'(.t)

(B

(xl

to

- ~

t h e n j(:d

(C)

properues:

-t.-

ul

be

-

..

------

. . . .

:t: .:::l

-----_-!_

100

a:l

12

Hou

of 0 1 1 . In wl wh d~7

lh pipeline

bcs1 approxim

ug

the t o a l n um um b e

(C)

the (A

II.

rf

In

ntan ntaneo eo

-2

ul

00

4.00

tile (uncrion

rate rate

B)

gi en by

_ ~

-I

(C)

b. then

i.J.

(E) 1 > : 1 _

In

n_

fo

liml(x

.c

(0)

(E

none.

lent

-2

the funcuo funcuo iang iangen en ill th poin poin

nzont di ferenn

19urc

d(

For

I)

4.

ble?

. I.I. _

nd

(I

-a111eof

Ye

..fiT+l

(0)

dr, t h e n F'(2) (e)

16. If I(

5.

Ity (C

15.

6t

(E) Ig

CD

sin (,,-.r). then r(t' (e-.r)

(8)

r-'

(t' X)

(C

(f-.t

t!""' (E

-t!;6

ot co

(t

wi etrue?

'( II

<['(I

1(1)
C)

/'(1

(D)j"CI CI

J"(1

(1

],,(1 ],,(1
I)

1(1)

nt bl

u n [Jon

Which

the following

he

cos

2x

(A

(B)

(0)

lR

(E

x(:r

19.

only

are

only

(C) -I

nd

only

only

only

dx

II -3

(C

d, (A)

then

nd

2e~'"

22. The function

(C) (0

(D) (-00, 0)

(0)

C)

given

I(x)

x'

Xl

(E)

could

kt

th

shown in the figure

23.

following could

graph

er va ve (8)

(A)

C)

(E

lion

by

~'(I)" 11

3r

ttai ttaine ne

on he i n l C : r v a J

SIS

by th

part partic icle le wh

\'t:loclly

given

is

th

from D)

.!.:!

t'

to

,X

(E)

l2

Il funcnon

(0

cont contin inuo uous us on th mu

\i lUI:

lions

rl

Interval

ta

rE)

2x (C)

In

if

(C) 26

. I

ni

that

(D)

~..fj

CTIO CT IO I. Part minutes tions-17

SO.1E Q U E S T I

In lh.i (I)

In

(2)

ph of

76

II

function

(A)

is co conti ntinuous nu ous

(8

ha

II

Is

lim

I(x)

ro

MI

(E)

/(.J

1%

relative maxi!Tl1.lm

(C) x." (0

1$ s h o w n

exIStS.

lim f(,c).

.1 un Ilon

Which

u m e d 10

foHowiJ}

se or

e a numb"

lid If F'(x}

Is

II re

=I(t)

numbers

,L

2F(I) I)

(E)

F{_l

2F(2)

(C)

CA

(0)

(8) 2a'

84. Population y ea ea rs rs .

gr grows ows the p o pu p u la la titi o

0. 69

ccording

d o ub ub le le s (8

Iii.

(0

e\'el)'

10 "e U! he

ub me va

th

is

where

c on on S U n l a n d

is meason!d

5.000

12

[5.

ed in J.

le

nd

what

th

IrupezoldaJ

lion

dx? 90

C)160

(E)

)'

lid

!.

In

s h o w n In the Igun:

.. what what

tn

he va ue of

.2

th cl

lo

(E)

quadrant

on

th

lt

an

he line line

0 l

th sohd sohd C)

16.5

(E)

7. Wh of th following is the point w h e r e

to r h

1\

gr tp

of

,r,j

(A)

0.763

(C)

0.122

(E) y: g8.

2.146

F(.t)

9.

(E

5.827

(A 0.04 0.04

m !n !n l a b

i:

un

II

nnumber umber

'U

the foil \\in"

1.64 1.640. 0.'2 '250 50

true'? 1.

1,

11

U1

ng

lncbes

n c e as as i pe

minu minute te

of

10

\\ohu:h of th

ollowm

minute:

While ILS

.b

th

area

h. h>Il

91.

-S

func functi tion on that is diff differ eren en ia le th follow owin in musmus- be lnIe? wbicb of th foll le

m. (8)

Fo only aJ\

(B) f.

rr

ome

zero zeros. s.

ha.i

€,

, o S.

hori~nw

1 (2 ( 2 ) " "-5.

S.

Wl~

3.

only II only only dIll

the curve (1\)

10).

co

frem

lc to

"~ 1.120

(E 0. 36

S ec ec t o f

A ns n s we we r K e a n

P e c an a n t A ns n s we we r n g C o e c

C.lculusAB

Tot~1 Cortl!'Cl

71

~I~

-~ 71l"1o

1998 Multiple Choice AP Calculus AB

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