3. Determine which of the following sets are bases for P2 (R). (a) {-1-x+2x², 2+x-2x², 1-2x + 4x²} (b) {1+2x+x²,3+x², x + x²} (c) {1-2x2x², -2 + 3x- x², 1-x+6x²} (d) {-1+ 2x + 4x², 3-4x - 10x²2,-2-5x6x²}

Q: x′=   −2 1 −1 0   −3 −7 8 −1 1 −1 2 −1 6 −2 2 1x​; λ=−4​, −4​, 1​, 1       x(t)=enter your response…

A: The given problem is to find the solution to the matrix differential equation. We have to find the…

Q: 1. 2+(9-4) 2. 2 (13+5-14+(3+4)) 3. 7+(12-3) 4.7+(12-3)-

A: 1. 2+(92 - 1) = 2+ (81 - 1) = 2 + 80 = 82     2. 2.(13+5-14÷(3+4)) =2.(18 -14÷7) = 2.(18-2) = 2.16 =…

Q: Simplify: 24 4[2 – (5 – 2)1 (Section 1.2, Example 7) – 6

A: 24÷[2-(5-2)]2-6

Q: QUESTION 6 Let A, B, C, D be sets. (ANB)x(CND)=(AXC)n(BxD). True. False. QUESTION 7

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Q: 2. (Section 17.6) Evaluate Jy²ds where S is the part of z = 3 + y inside a² +y² = 9. S

A: We have to find ∫S∫y2ds where S is the part of z = 3 + y inside x2 + y2 = 9

Q: Refer to Example 50.9 for Exercises 7 through 9. 7. What is the order of G(Q(2)/Q)? 8. What is the…

A: Solution by using example 50.9

Q: 3. Describe span S if: a) S= {(1,1); (2 ,6); (7,12)} b) S= {(1,0,2); (3,2, –7); (–1,–2,11)} c) S=…

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Q: Find the dimension of the set S= {(2, 4), (4, 8)}?

A: The dimension of the set S can be find out by finding the linearly independent vectors in it.…

Q: 4 .-1 e) xp-

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Q: 5. Use set builder notation to specify the following sets: * (a) The set of all integers greater…

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Q: Let ā = (1, 3,-1) and b (-1,0, 2). What is the y-component of ā x b %3D %3D 1 -1 3.

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Q: Does S={(1,0,1),(2,1,0),(3,,1,1),(1,1,1)} spans R³ ? Select one: O True O False

A: Given: S={(1,0,1),(2,1,0),(3,1,1),(1,1,1)}

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Q: 4) Let a = (-3, 0, -4) and 5 = (-3, 3, 1). Find the projection of b onto a.

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Q: A triangle has vertices at L (2,2), M(4,4),and N(1,6).6 The triangle is transformed according to the…

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Q: Question 3 Determine what rule of replacement was used: ((~A ·B) · (C v D)) V (~ ( ~ A · B) · ~ (C V…

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Q: question 3

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Q: Let A = [0,3]U (3,5) U {8,9}. Find bd (A)

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Q: Question 26 (A - B) u (C - B) = O (A- C)u B

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Q: 11) The black shape is the original (x,y)→ (x-_, y-_) 12) The black shape is the original (х,у)— (х+…

A: Given:

Q: Question 2 If P(A) = .62, P(B) = .47, and P(A u B) = .88; then P(A n B) = (CSLO 1,3,7) Edit Format…

A: 2) Given,P(A) = .62P(B) = .47.88

Q: tan q sin q + cos q 24. р 1 + tan q 23. р — cos q

A: Solution: The objective is to find the derivative of the given functions

Q: 8. Refer to Example 50.9 for Exercise 8. Exercise 8: What is the order of G(Q(VZ, iv3)/Q)?

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Q: 1 Give the second component of the projection of 2 -1 -1 2 onto Nul 3 2-2 2 4 -1,

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Q: Match each (r, 8) given to one of the points A, B, C, or D shown. Exercise 27-36 号_t_智 2 12

A: We are given with the polar coordinate graph and need to match the point

Q: LINEAR ALGEBRA III Please help answer all questions below: i01 Let A 0 1 0 € M3x3(C). 10 i Find the…

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Q: Exercise 1) ỷ + 3ỳ + 2y = 36xe*

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Q: L {a,b,c, d, e, f}, and = Consider the triple (P, L, J) with P = {1, 2, 3, 4}, (1, a), (2, a), (3,…

A: Consider the triple (P, L, I) with P = {1, 2, 3, 4},   L= {a, b, c, d, e, f}, and   I= { (1, a), (2,…

Q: 2) Shade (BU C) U A A

A: Given that (B∪C)'∪A  We have to shade the given area