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- When using test, we reject Ho if? a) x2 obt ≤ x2 crit b) | x2 obt | ≥ | x2 crit | c) x2 obt ≥ x2 crit d) | x2 obt | ≤ | x2 crit |Consider the following statements: P : x is odd, Q:x is positive, R:-4< x < 3, S : |x| < 2. Find all values of x E Z which make the statement [R^ (P V ¬Q)] → S false. Justify your answer.Consider the following statements: P:x is odd, Q: x is positive, R:-4 < x < 3, S : |a| < 2. Find all values of x E Z which make the statement [R ^ (PV¬Q)] = S false. Justify your answer.
- 7.50ve the equHOn: vax-9 -1=X writh answerls) as a list of #5, using commas to seperate alues.Consider two points (x0, y0) and (x1, y1). Prove that the first order Langrange polynonial is equivalent to linear interpolation.3. Use C.P. or I.P. or both to construct proofs for the following (= Unit 9 -plus the rules from Units 7 and 8) [0.75 mark each]. a. A (BVC), C = (E. F), ~ (F v B) /.. ~ A b. A (XY), B = (Dv~F), ~(Dv W), F = ~Y. (A. B) > ~ X c. A 7. T (E (BVC)), S = ~(Dv C), T (S. ~ B), ~ Av C (DVE) 1 [Extra credit, 1 mark] d. (C. (F v E)) v (C. ~ (F v E)), F~B, (AC) = ~ (X > E) /.. B > C
- let iyit|=X+, show that Sontis Riey the Mean Veulne Theonen and a=lVll,b=13131,then find the valueafc which satisfies the Theorem. 2 2 on S={cxiy)! o(p→9）A（g→r） a) tautologies c) contraction b) not one of the previous answers*39. If xmeasurable3. Use C.P. or I.P. or both to construct proofs for the following (= Unit 9 -plus the rules from Units 7 and 8) [0.75 mark each]. a. A (BVC), C = (E. F), ~ (F v B) /.. ~ A b. A (XY), B = (Dv~F), ~(Dv W), F = ~Y. (A. B) > ~ X c. A 7. T (E (BVC)), S = ~(Dv C), T (S. ~ B), ~ Av C (DVE) 1 [Extra credit, 1 mark] d. (C. (F v E)) v (C. ~ (F v E)), F~B, (AC) = ~ (X > E) /.. B > C2.4. If a7 on [a, b], prove that we have а) f da = f da + f da, (a < c < b), (S + g) da < | f da + g da, Tu+ 9) dz z c) | s f da + 9 da.SEE MORE QUESTIONSRecommended textbooks for youAdvanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, Incorporated
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