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Unformatted text preview: MA 22000 Exam 2 Form A Spring 2011 1 2(m +11) ~ 3(3: +11)2 — (2m — 3952)
' h A. —2:L‘—3h+2
B. ~—2x~3h—2
C. —3h+2 D. ~6$3h+2
E. ~650—l—3h—l—2 2. A salesperson for Acme Piano Company is reimbursed $120 per day for meals plus $0.42 per mile driven.
Write a linear equation giving the daily cost 0, in dollars, in terms of 3:, the number of miles driven. A. C(93) = 0.42m + 120
C(m) = 0.4251: — 120 = 120% — 0.42
C(rc) = —120:13 — 0.42
C(95) = —120m + 0.42 scrum MA 22000 Exam 2 Form A Spring 2011 3:52 — 10x—8 3' $133; 49:2 —15x—4 : 0 I‘1 31: Eli H
._. A.
B.
C.
D.
E. This limit does not exist. 4. Find and simplify g(f(a:)) if f(a:) = 2m + 3 and g(x) : 3:52 — 1. 12202 + 36$ + 26
6:32 — 18m + 16
6m2 + 1850 + 12
8:32 —— 18:10 + 22
121‘2 + 36$ + 24 WUQW? MA 22000 Exam 2 Form A 5. Find the derivative of the function f = 4a;(rc3 — at the point (2, 56).
A. 388 128 276 512 96 spam 6. Find the derivative of the function = 5:02 I 12f/T— 5; A 10:73 $373~:—§
B 10m—$—:/§ g
C 1050 Egg—1%
D 1030—;373—135
E 10:1; Ely—Z— Spring 2011 MA 22000 Exam 2 Form A $2+4
3332—1. 8. Find 1/ if y 2 —26m
A. I: ——
y (3332 — 1)2
22m
B. I: ————
y (33:2 — 1)2
C , M 12$3 + 229:
' y " (3:172 —1)2
~21:
D. '2 ——————
y (31:2 — 1)2
261:
E. I: _——
y (39:2 — 1)2 Spring 2011 MA 22000 9. Find the derivatiVe of the function 9 “95):?” 18
—36m
(m2 — 4>3
9 A.
B. C. 361‘
(m2 ~ 4>3
—18
($2  4)3 D. E. 413(132 — 4) _4)2 Exam 2 Form A 10. Find an equation of the line tangent to the graph of f at the point (1, g) if 1 = —— 2 f“) m 3m4+
A.y:1—33:c—%l
B.y=l§3€c——§
C.y=13m~—33—1
D.y211§m+%
E.y=%:c+% Spring 2011 MA 22000 Exam 2 Form A Spring 2011 11. Below is the derivative of a function f. Find the values of :1: Where the tangent to the graph of f is horizontal.
6m2—21m~12 / _ $2_4
A. 1~1,3:=~%,a:=1, $24
B. $=—1, i=1 1 _ 0.113 —§,’U—4
D. $——%, $25
E. mz—g, 73:5 12. The percent P of defective parts produced by a company 75 days after it starts operation is modeled by I
_t+200 E P“) ‘ 5(t + 3) Find the rate of change of P when t = 1. Give your answer correct to two decimal places. A. —5.81
B. ~3.62
C. —4.92
D. ~2.46
E. ~1.75 MA 22000 13. The demand function for a product is p = ﬂ
profit for a: z 4. A. P159530 2.4
1.4
3.4
5.4
4.4 Exam 2 Form A Spring 2011 1_0 and the cost function is C' = 0.1w—l—100. Find the marginal 14. The height 5 in feet at time t in seconds of an object dropped from the top of a building is s = —16t2 +32.
What is the average velocity over the interval [0, 2]? A.
B. C
D.
E ~16
32 ...
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