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For the piecewise linear function, find (a) f-3), (b) -2), (c) K0), (d) f(2), and (e) f(5) 2x ifxs-2 fix): x-2 ifx-2 (a) -3) (b) f-2)= (c) f(0)= (d) (2)= (e) 5)-
Let A={a b c d e f} B={a c e g} C = {b d f}
Find each:
B = {a, c, e,g} C = {b,d,f} A= {a,b,c,d,e,f} Find: (2 points each) (a) AnB (b) AUB (c) Ang (d) COB (e) CUB (f) (An B)UC (g) An(BUC) (h) Ax B (i) C XB G) AB (k) C ( BA) (1) B2
2. Let A = {a, b, c, d, e}, B={a, b, c, d, e, f, g, h} and C = {2, 4} (a) 4 U B= (b) 4 intersection B= (c) A - B= (d) B - A= (e) A x C =
(a) f'(-3) d (b) f'(-2) y=f(x) (c) f(-1) bn aimil 1 (d) f'(0) 10 1 (e) f'(1) Kdh (f) f(2) 1 0 (g) f'(3)
(a) f'(-3) d (b) f'(-2) y=f(x) (c) f(-1) bn aimil 1 (d) f'(0) 10 1 (e) f'(1) Kdh (f) f(2) 1 0 (g) f'(3)
Consider the following sequence of page references: A,B,B,C,A,E,D,B,D,E,A,C,E,B,A,C,A,F,D,F and consider that a working set strategy is used for page replacement. What will the contents of the working set at each stage be for the following? a. Window Size = 2 b. Window Size = 3 c. Window Size = 4
Let A = { a, b, c, d, e, f} , B={c, d, e, f, g, h} and C= {a, c, d, f, h, i, j} i. A N (BNC) ii. A UBUC iii.(AUB) O C iv.(AN BU C
Diagonalize
a.
b.
c.
d.
e.
f.
Diagonalize A A = 1 3 4 2 a. A = PDP-1 b. A = PDP-1 1 Р 1 1 OC. A = PDP-1 -1 3 P = 2 5 d. A = PDP-1 -3 1 P= -4 1 e. A = PDP-1 1 -1 P 3 1 Of A = PDP-1 P-[31] -- [6-2] [37] - [64] P=[ +3 z] --[: = D = 10 03
1):- (a)Given F = { a → b, {b, c} → d, {c, d} → e, {a, b} → d }. What is {a}+ (i.e. the closure of a)? Show your steps to achieve the answer for full credit. (b) Given F = { a → b, b → c, {a, b} → d , {b, c} → a }. What is {b}+ (i.e. the closure of b)? Show your steps to achieve the answer for full credit. 2)(a) given F =...
Projections and Least Squares
3. Consider the points P (0,0), (1,8),(2,8),(3,20)) in R2, For each of the given function types f(x) below, . Find values for A, B, C that give the least squares fit to the set of points P . Graph your solution along with P (feel free to graph all functions on the same graph). . Compute sum of squares error ((O) -0)2((1) 8)2 (f(2) -8)2+ (f(3) - 20)2 for the least squares fit you found (a)...
Given f(x) = 2 log(x) – 2, find f-1(-8). b) 27 c) 27 d) -3 e) 3 f) None of the above.