QUIZ DATE

Chapter 1 NAME

(DFind the slope of the line determined by points A( - 1 3) and B(4 7)

(A) 1 (B) plusmn (C) plusmn (D) 1 (E)-plusmn4 3 5 4 5

~ind an equation for the line through the point P(3 -2) Vhat is perpendicular to the line 3x + 2y = 5

3 5(A) y = -3x (B) Y = --x +shy

3 2 2 3 13(C) y = 3x - 4 (D) Y = -x - shy

3 2 2

(E) y = -~x + 3 3

6 65Age (weeks) I 2 3 I 4 Weight (pounds) 142 92 105631 7 1

The table shows the growth of a certain puppy Find the linear regression equation for the data Use the linear regression equation to estimate the weight of the puppy at age 8 weeks rounded to the nearest pound

(A) 13 pounds (B) 14 pounds (C) 15 pounds (D) 16 pounds (E) 17 pounds

4 Which of the following is an odd function 5(A) y = (x - 5)3 (B) y = 2 + ~I (C) y = x - Vx

5(D) y = 2x3 + 4x (E) y= x3 bull x

raw the graph of the function

-2 x lt-2 fix) = Xl - 2 -2s x lt 0

x - 2 x ~ 0

(0vruch of the following exponential expressions is equivalent to 2S4x

(A) S6x (B) S8x (C) SlOx (D) S12x (E) Sl4x

se a graph to solve the equation 3-x = 7

(A) x = -233 (B) x = -177 (C) x = 056 (D) x = 177 (E) x = 233

copy Addison Wesley Longman Inc

1 __________________________C

C2 __________________________

3 ________~_______________

4_~__D

5

[-44] by [-3 3]

6 __---=B=---_____

B7----------------------___

Calculus Assessment 1

TEST DATE

III Chapter 1 NAME

Directions Show all steps leading to your answers including any intermediate results obtained using a graphing utility Use the back of the test or another sheet of paper if necessary

1 __________________________Dind the slope of the line detennined by points A(8 -2) and B(2 7)

(A) ~ (B) -~ (C) l (D) -l (E)-23 3 2 2

et L represent the line y = ~x + 7 Write an equation

for the line through P(6 -4) that is (a) parallel to L

(b) perpendicular to L

orthe function y = 5 - Y9 - 2- (a) find the domain (b) find the range and (c) detennine whether the function is odd even or neither

-O5X x lt -2 Btf(x) = Vx+2 x -2

(a) Draw the graph ofex)

(b) Find the domain

----- (c) Find the range -=--

tf(x) = x2 + 5 and g(x) = ~ Find formulas for (a)fo g and (b) g 0 f

~e2th~o~ range and intercepts of the function

3xse a graph to solve the equation 4 - = o

eJuppose that in any given year the population of a certain endangered species is reduced by 25 If the population is now 7500 in how many years will the population be4000

c ind a parametrization for the left half of the parabola y = x2

- 4x + 3

copy Addison Wesley Longman Inc

3 38~ sX - 52 (a) __---_ --------_ -----__

(b) _----I~----S--l-3LLLX _ 1 b-~_

3 (a) _ ----=-= - 5 3-L---==T ~ J_____ (b) _----=[=-2-----7-J 5 ---____ (c) _ tV _ gt--=-___________--=--=-sf N

4 (a)

[-44] by [-3 3]

(b) _ ( - OC )_---)--_ ------Oo~__ CO I va)laquo___________(c) __---==----~_

5 (a) __~ ___ r____+gt___t ~--)_l -t 5 o_ l t 5(b) _ ------X _ _5 _I L L2 T ____

6 Domain __----=--_--_~-------( - a I OO)Range __ (_ 1 -t-lt___ _ Oo )

x-intercept(s) __-_____6 y-intercept( s) ____-0--_________

v~ i21027 ___~~___________________

8 _ -=- --0-_yef S2 --=19 ~~ -=-___

~-t

1- t 1 - ~ t ~ 39 ______________~__________

t- -2 Calculus Assessment 3

TEST DATE

III Chapter 1 NAME

Directions Show all steps leading to your answers including any intermediate results obtained using a graphing utility Use the back of the test or another sheet of paper if necessary

1 __________________________Dind the slope of the line detennined by points A(8 -2) and B(2 7)

(A) ~ (B) -~ (C) l (D) -l (E)-23 3 2 2

et L represent the line y = ~x + 7 Write an equation

for the line through P(6 -4) that is (a) parallel to L

(b) perpendicular to L

orthe function y = 5 - Y9 - 2- (a) find the domain (b) find the range and (c) detennine whether the function is odd even or neither

-O5X x lt -2 Btf(x) = Vx+2 x -2

(a) Draw the graph ofex)

(b) Find the domain

----- (c) Find the range -=--

tf(x) = x2 + 5 and g(x) = ~ Find formulas for (a)fo g and (b) g 0 f

~e2th~o~ range and intercepts of the function

3xse a graph to solve the equation 4 - = o

eJuppose that in any given year the population of a certain endangered species is reduced by 25 If the population is now 7500 in how many years will the population be4000

c ind a parametrization for the left half of the parabola y = x2

- 4x + 3

copy Addison Wesley Longman Inc

3 38~ sX - 52 (a) __---_ --------_ -----__

(b) _----I~----S--l-3LLLX _ 1 b-~_

3 (a) _ ----=-= - 5 3-L---==T ~ J_____ (b) _----=[=-2-----7-J 5 ---____ (c) _ tV _ gt--=-___________--=--=-sf N

4 (a)

[-44] by [-3 3]

(b) _ ( - OC )_---)--_ ------Oo~__ CO I va)laquo___________(c) __---==----~_

5 (a) __~ ___ r____+gt___t ~--)_l -t 5 o_ l t 5(b) _ ------X _ _5 _I L L2 T ____

6 Domain __----=--_--_~-------( - a I OO)Range __ (_ 1 -t-lt___ _ Oo )

x-intercept(s) __-_____6 y-intercept( s) ____-0--_________

v~ i21027 ___~~___________________

8 _ -=- --0-_yef S2 --=19 ~~ -=-___

~-t

1- t 1 - ~ t ~ 39 ______________~__________

t- -2 Calculus Assessment 3

I

QUIZ DATE

Chapter 1 NAME

l -)Graph the parametrized curve given by x = t - 2 1

y = -2 + vst0 5 t 5 4 Indicate the direction in which the curve is traced

~

I [-44) by [-3 3)

ind a Cartesian equation for a curve that contains the parametrized curve given by x = t - 2 y = -2 + I5to 5 t 5 4 2 A (A) y = -2 + YSx + 10 (B) y = -2 + ~

(C) y = -2 + YSx - 10 (D) y = -2 + Yx+2

(E) y = 2 - Yx+2 3 Forj(x) = x2 - 3 x5 0 findj-I(x) 3

(A) j-I(x) = Yx+2 (B) j-l(x) = - Yx+3

(C) j-I(x) = Yx-=3 (D) j-I(x) = - Yx-=3 ( )

(E) j-I(x) = 3 - x

C 4 Letj(x) = eX - 10 S x s 3 Which of the following is 4

a parametrization for the graph ofy = j-l(x)

(A) x = t Y = e1 - 1 0 S t 5 3 (B) x = t Y = I + In tO St S 3 (C) x = el - I Y = t 0 S t S 3 (D) x = I + In t y = t 0 S t 5 3 (E) x = t Y = el - I

0 S t S 3

~5 Solve the equation 4x + 4-x = ~ algebraically 5 2

1 1 1 (A) x = 2 (B) x = -2 x = 2

(C)x=-lx=l (D) x = --1 x = 0 x = -1

2 2

(E) x = - I x = 0 x = I E 6 Solve the equation sec x = Y2 in the interval 0 S x S 21T 6

TT 3TT (A) x = ~ x = (B) x = -

4 x =-

4 TT 5TT 3TT 5TT

(C) X = 4x = 4 (D) x=4x=4 TT 77T

(E) x = 4x = 4

Calculus Assessment copy Addison Wesley Longman Inc 2

TEST

NAME

~)Graph the parametrized curve described by 10 (a) x = 2 sin t y = -3 cos t 0 ~ t ~ 17 Indicate the direction in which the curve is traced

(b) Find a Cartesian equation for the parametrized curve What portion of the graph of the Cartesian equation is traced by the parametrized curve

3~t(x) = Ix + 2 and g(x) = x - 2 ~ch of the following are true

I g(x) = I-l(x) for all real values of x II (0 g)(x) = I for all real values of x

Ill The functionfis one-to-one

(A) I and II (B) I and III (C) II and III (D) III only (E) I II and ill

tl(x)=~ Find an expression for I-l(x)

(Be sure to state any necessary domain restrictions)

~e table gives Taiwans nuclear power generation ~~a in billions of kilowatt-hours Let x = 5 represent

1980 x = 10 represent 1985 and so on

Year Energy produced

(a) Find a natural logarithm regression equation for the data

(b) Predict when Taiwans nuclear power generation will reach 40 billion kilowatt-hours

14 An angle measuring 317 radians has its vertex at the center 8

of a circle whose radius is 4 feet Find the length of the

subtended arc

15 Let y = 3 sin (2x - 71) + 2 Detennine the period

domain and range of the function

16 Solve the equation cot x = 4 in the interval 0 ~ x s 271

Calculus Assessment

[-44] by [-33]

(b) --+j= ~ l~---- Xl=-- -t=- (~9ht 12 ofJI- t-+~~-4--_~~_~r _~~IL--__ ~11pe

11 __l~______G

f ()lt ) ~ ~ -X2 v 012middot ________________~_1~~~~-shy

( )

13 (a) ~ ~ - 20 LJ14 i q 05 0n X (b) ---- ~ 4-__T_lI--L 9L9--_X-__11o lQL

14 -----yen~_ _ 1__c (_ 4 _

~

15 Period __~~~--------------shyDomain __~t(( ~__~--------shyRange ----~41 5--1__________[ - i --= 1 cmiddot

16 ------=O--=O---N ~ Il----DO____

copy Addison Wesley Longman Inc 4

TEST

NAME

~)Graph the parametrized curve described by 10 (a) x = 2 sin t y = -3 cos t 0 ~ t ~ 17 Indicate the direction in which the curve is traced

(b) Find a Cartesian equation for the parametrized curve What portion of the graph of the Cartesian equation is traced by the parametrized curve

3~t(x) = Ix + 2 and g(x) = x - 2 ~ch of the following are true

I g(x) = I-l(x) for all real values of x II (0 g)(x) = I for all real values of x

Ill The functionfis one-to-one

(A) I and II (B) I and III (C) II and III (D) III only (E) I II and ill

tl(x)=~ Find an expression for I-l(x)

(Be sure to state any necessary domain restrictions)

~e table gives Taiwans nuclear power generation ~~a in billions of kilowatt-hours Let x = 5 represent

1980 x = 10 represent 1985 and so on

Year Energy produced

(a) Find a natural logarithm regression equation for the data

(b) Predict when Taiwans nuclear power generation will reach 40 billion kilowatt-hours

14 An angle measuring 317 radians has its vertex at the center 8

of a circle whose radius is 4 feet Find the length of the

subtended arc

15 Let y = 3 sin (2x - 71) + 2 Detennine the period

domain and range of the function

16 Solve the equation cot x = 4 in the interval 0 ~ x s 271

Calculus Assessment

[-44] by [-33]

(b) --+j= ~ l~---- Xl=-- -t=- (~9ht 12 ofJI- t-+~~-4--_~~_~r _~~IL--__ ~11pe

11 __l~______G

f ()lt ) ~ ~ -X2 v 012middot ________________~_1~~~~-shy

( )

13 (a) ~ ~ - 20 LJ14 i q 05 0n X (b) ---- ~ 4-__T_lI--L 9L9--_X-__11o lQL

14 -----yen~_ _ 1__c (_ 4 _

~

15 Period __~~~--------------shyDomain __~t(( ~__~--------shyRange ----~41 5--1__________[ - i --= 1 cmiddot

16 ------=O--=O---N ~ Il----DO____

copy Addison Wesley Longman Inc 4