ECON 2001 Midterm: ECON 2001 Pitt Exam 2 2013

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turquoisegnu128

31 Jan 2019

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2: let x = {(a, b, c) r3 | b c = 0}. 3: a 1, a, a b, a b, a b c c c b b m2 2 | a, b r . 2a c m2 2 | a, b, c r b d m2 2 | ab = 1; a, d r . 0 m2 2 | a, b, c integers. d m2 2 | cd = 0; a, b r : none of the above. 4: let w = {(x, y, z) r3 | x + 5y 4z = 0}, explain very brie y why w is a subspace of r3. (you will not need to use the subspace test. Use work we did in class. : find a spanning set for w , give a complete geometric description of w . (remember that you must justify your answers. )

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Question 3. (25 marks) Let y = f(1) be defined by f(x) = ln(22 – 4). (a) Solve for r when f(0) = 0. (b) Use a sign diagram to determine the values of r for which fr) is defined. (c) Derive f'(.). (d) Use f'(x) to determine when f(x) is increasing and/or decreasing. (e) Derive and use f" () to show if f(x) convex or concave.

13. If the price of X is set at $24.00 per unit, the number of units of X purchased by this consumer each month will be: A) 1 B) 2 C) 3 D) 4 E) 5 F) 6 G) 7 H)8 1) 9 J) 10 K) 12 L) 14 M) 16 N) 18 0) 20 P) 22 Q) 24 R) 26 S) 28 T) 30 U) 36 V) 40 W) 44 X) 52 Y) 56 Z) none of the above

AI 16. If the price of X is set at $0.10 per unit, the quantity of the good purchased by this consumer each month will be: B) 2 C)3 D) 4 E) 6 F) 8 G) 10 H) 12 I) 16.5 J) 23.5 K) 63 L) 64 M) 128 N) 129 0) 150 P) 156 Q) 157.5 R) 159.5 S) 160 T) 255 U) 256 V) 256.5 W) 257.5 X) 260 Y)0 Z) none of the above

ECON 2001 Midterm: ECON 2001 Pitt Exam 2 2013

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