a) Consider the set S= {+1, +t, t+1).Detrmine whether p(t)= 3t-5t+3 belongs tospan S.b) Determine whether {r +1, -t, t+1} is aspanning set.

Answered: Image /qna-images/answer/e649902b-3746-470f-9724-2fe58da9e0fe.jpg

Answered: a) Consider the set S= {t+1, +t, t+1).…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.4: Definition Of Function

Problem 55E

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II. Let Q-set of all real numbers, A-index set. Identify the generalized union and intersection of the following: 1. A₁ [0,4], A2-[1,5), A3- [0.5,3], A4- (1,9] As-[-5,8) where A = {1,2,3,4,5} 2. A [0,4], A₂-[1,5), A3- [0.5,3], A=(1,9] As-[-5,-2) where A = {1,2,3,4,5}
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8
II. Let 2-set of all real numbers, A-index set. Identify the generalized union and intersection of the following: 1. A₁-[0,4], A2-[1,5), A- [0.5,3], A- (1,9] As-[-5,8) where A = {1,2,3,4,5) 2. A-[0,4], A2-[1,5), A- [0.5,3], A (1,9] As [-5,-2) where A = {1,2,3,4,5) 3. Ax= {2, 2+2, 2+4,2+6, 2+8} where A = {2,4,6,8} 4. Az =(1-22, 1+22) where A = Z* 5. Ax (0, 32, 62} where A = Z' = 6. A[5, 10-] where A = Z' 7. Ax (5+, 10+) where A = 1 = Z' = 8. A (5+. 10-) where A = Z' 9. Ax= [5+10-] where A = Z 10. A (1, 10) where A = = = (0,1)
Let X=(x1, X2, X3, X4, X5) and let A be a fuzzy set whose complement is A=((x3, 1), (x4, 1), (X5, 1)) using the complement function C,(a) wheret=0.25. Then Select one: a. HA(X1)0.25 b. None of them C. HA(X1)>0.25, and ua(xa)s0.25 O d. HA(X1)S0.25 and HA(X4) >0.25 e. HA(X1) 20.25 and HA(X4) <0.25

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a) Consider the set S= {t+1, +t, t+1). Detrmine whether p(t) 312-5t+3 belongs to span S. b) Determine whether {t+1, t-t, t+1} is a spanning set.