theory and problems of differential and integral calculus third edition - ayres & mendelson

... (x - 4)(2x - 3) < 0 (i) (x - 2)3 > 0 (a) O<x<5; (6) x>6 or x<2; (c) -1 <x<2; (d) x>2 or -3 <x<O; (e) -3 <x< ;-2 orx< ;-4 ; (f)x>2or -l<x<lorx< ;-3 ; ... x>O or x< ;-1 ; (e)x>l orx< ;-4 ; (f) -4 5x 5-2 ; (g) -2 <x<7; (h)x>2orx< ;-$ ; (i) -$ <x<f; (j)...

Ngày tải lên: 31/03/2014, 15:42

... Either a > b, a ¼ b or a < b Law of trichotomy 2. If a > b and b > c, then a > c Law of transitivity 3. If a > b, then a þ c > b þ c 4. If a > b and c > 0, then ac > ... 4 and less than À3. Case 2: x À 4 < 0 and x þ 3 > 0, i.e. x < 4 and x > À3. This is possible when À3 < x < 4. Thus the inequality holds for the set of all x such...

Ngày tải lên: 31/03/2014, 15:41

... -2 -1 -1 \ '. 00 -1 -2 4 T -3 9 \ 1 I 1 * ,iX 1 - /' 0 -3 -2 -1 "I 1 2 3 x Fig. 3-2 I -4 -3 -2 -1 1 I 1 1 Fig. 3-3 - -1 - -2 - -3 ... (0, -2 ) -3 - 0 (4, -3 ) (-1 ,-3 ) 1 -3 COORDINATE SYSTEMS IN A PLANE 4Y 4- 3- 2- 9 (3*2) 1- 3...

Ngày tải lên: 31/03/2014, 15:42

... Either a > b, a ¼ b or a < b Law of trichotomy 2. If a > b and b > c, then a > c Law of transitivity 3. If a > b, then a þ c > b þ c 4. If a > b and c > 0, then ac > ... 4 and less than À3. Case 2: x À 4 < 0 and x þ 3 > 0, i.e. x < 4 and x > À3. This is possible when À3 < x < 4. Thus the inequality holds for the set of all x such...

Ngày tải lên: 09/04/2014, 17:37

... unsimplified sum -of- products Boolean expression for the truth table in Fig. 5-6 0. Ans. A. B * c * D + A. B - C * + A. B - C + A - * c - + .A - C * D + A * B - c * ... 5-5 7 NAND logic circuit 5.57 Draw an OR -AND logic circuit for the Boolean expression A. (B + C) * Ans. See Fig. 5-5 8. - E = Y. B C...

Ngày tải lên: 21/01/2014, 06:20

Ngày tải lên: 14/03/2014, 18:20

... (o, 6) of real numbers, and vice versa. 2 -3 -2 -1 2 О з • -1 -2 Example 1.13: Let A = {1,2,3} and В = {a,b}. Then AxBr {(l,a), A,6), B,o), B,6), C,o), C,6)} CHAP. 1] SET THEORY The concept of product set ... (iii) <p(C7), the power set of V. 1.59. Let cf and *B be algebras (a-algebras) of subsets of U. Prove that the intersection e^nS is also an algebra (&...

Ngày tải lên: 18/03/2014, 11:38

Ngày tải lên: 31/03/2014, 15:23

... (X, Y) is given by i (l-e-"")(l-e-By) ~20,~20,a,B>O Fx& Y) = () otherwise (a) Find the marginal cdf's of X and Y. (b) Show that X and Y are independent. ... 1, Y I 1) = Fxr(l, 1) = (1 - e-")(l - e-8) P(X 5 1) = Fx(l) = (1 - e-") P(Y > 1) = 1 - P(Y I 1) = 1 - Fd1) = e-@ PROBABILITY [...

Ngày tải lên: 31/03/2014, 16:25