Diagnostic Exam - Economics Statistics – 1992 | ECON 321, Exams of Economic statistics

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/(3x2 - 3x4 )dx a. x3-2|l

b.-

c. 1

Economics 321

Diagnostic Exam

June 3, 1992

6. //(-4x3 (-2 + 3y5))</xdy a. b. c. d. e. 1

8j» 2 3

2. /(-3e4 -* a.

c. d. ~ 1 — -f- e. -3g*

3. /(-6x4 )dx

b. =£ c. 1 d. -X 6

4. /((-9 + x)~ 4 )dx a. 1 b (^) (-9+r) s -3 (^) 2(-9+)3* 1 C ' 3(-9+*)

7- f° _ 3 fL - ((-3 + *2) (-3 + y a.^5346

b. 1

C. 00 d (^106925) e. -

8. /(x) = -x + 5x5 find : a. -l + 25x

c. =1^5ii d "^ j^ -l+25» 4——r——~^ ~^——-g+5g s

e. (^) 27(-9+) 3 ~t~ 162(-9+«)3 729(-9+) log(-9+>) 6561 6561**

6. /(x) = - (e'3 x4) find £ a. -3ca x2 - 2ea x b. -2e3 x3 - e«2 x C « ._ _Ap_ ^C^.^ .3^^ db f^ Q^^ — OP™~ £C* ^^ _3^^ »"* E

f e. -5e''x4 -2e*a x«

10. /(x) = 3(e + x)4 find £*

a. 1 b. f c. 1720 d u ' (^) S§ 15 ec - -^ 5

a. b.

<(e+x) 3 _ 3(e+x) 4 \x* ')

c. 12 (1 + e) x(e + x)3 + 3(e* + x) , )(e'+g)» 3(e'+r) 4 e.

In the following 4 problems let

11. Compute J2j=i Xj a. 12 b. 0 c. 7 d. 13 e. 31
12. Compute E>=i(x;?) a. 13 b. 7 c. 31 d. 13 e. 14
13. Compute Y^j=i(xi + %') a. 13 b. 0 c. 7 d. 0 e. 20
14. Compute a. 12 b. 31 c. - d. 35 e. 0

d. 12 e. 0

16. In the following let the universe S= { 1,2,3,4,5,6,7,8,9,10} , A = { 1,3,5,7,9} and B= { 1,2,4,6,7,10}. AnB = a. { 1,2,3,4,5,6,7,9,10} b. { 2,4,6,8,10} c- { 1,7} d. { 1,2,3,4,5,6,7,8,9,10} e. { 1,2,4,6,7,10}
17. A\JB = a. { 1,2,4,6,7,10} b. { 1,2,3,4,5,6,7,8,9,10} c. { 1,2,3,4,5,6,7,9,10} d. { 1,7} e. { 2,4,6,8,10}
18. Ac = a. { 1,2,3,4,5,6,7,8,9,10} b. { 1,3,5,7,9} c. { 2,4,6,8,10} d. { 1,2,3,4,5,6,7,9,10} e- { 1,7}
19. (AUB)e = a. {8} b. { 2,4,6,8,10} c. { 1,2,3,4,5,6,7,8,9,10} d. { J.2,3,4,5,6,7,9,10} e- { 1,7}
20. Compute a. 31 b. 12 c. -