Consider the set S = {3x + 1, 2x – 6, 3x + x}. The set S %3D spans P2. If t(x) = 6x? + 5x – 9 E P2 , %3D then t can be written as a linear combination of elements of S. That is, •(3x²+1) + 6. (2æ – 6) + c · ( – 3æ² + x). | Determine a, b, and c a = b = с 3

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A: Topic:- algebra

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A: We will solve the problem

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A: Solution: Step-1                         Given if a = 4, 0, 4 ,b = 3, 4, -4, and c = 0, 4, 5, show…

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Q: frved 4x-5x-15 de

A: we use to solve this integral by using partial fraction method

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A: vector

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A: This question is related to vectors, we will solve it using given information.

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A: we use linearity of T  to find the value of T at 1, x, x^2

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A: According to the question,we have to expand and simplify x+23. As the above expression is algebraic…

Q: Let a = (1,2,3),b = (4, –3, –1),c=(-5, –3,5) and d = (-2, 1,6).Find: %3D а. а+ 5b b. [7c| – |5d| c.…

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Q: a Add. 1. (3x + 2) + (-4x + 3) 2. (6x + 1) + (-7x +2) 3. (-ár + 2) + (x² + -3)

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Q: Group 2 x2 – 2r – 3 c(x) = x2 – 4x – 5 11 %3D 10 8 2. Fill the Table: 3. Graph the function: 4 3 2…

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Q: x-1) 1/6(x+2) 16/3- (x+1) 1/2 x-1) 1/6(x+2) 16/3 (x+1) 1/2 x-1) 1/6(x+2) 16/3 + +

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Q: Vx+4 -2 1 limx¬0 ||

A: Note: As per bartleby instruction when more then one question is given only one has to be answered.…

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A: (2x+3)*(3x-2)=?

Q: Let floo) = 0e 5 and gloo) = 2a19 Detemine Cgof) (x) 2079. %3D %3D

A: Topic:- function

Q: 7b + 8b2​2​​ + 3 + y + 2b + 2y + 2 =   A 17b2​2​​ + 3y + 5 B 8b2​2​​ + 9bb + 5y C 8b2​2​​ + 9by +…

A: 7b + 8b2​2​​ + 3 + y + 2b + 2y + 2 = ?

Q: ×: Attend a 4-year college Px: 0.1 X: Attend a junior college Px: 0.2 X: Attend a technical…

A: 1) The probability distribution is given as follows: Event Probability Attend a 4-year…

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A: I am attaching image so that you understand each and every step.

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Q: Let a = -27 +53 + 4k. Find a.

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Q: Find å + B, 2å + 35, |äl, and |ä – | for å = i + 2j – 3k and b = -2ï – j + 5k.

A: solution:-a→=i→+2j→-3k→b→=-2i→-j→+5k→(1)a→+b→=i→+2j→-3k→+-2i→-j→+5k→         =1-2i→+2-1j→+-3+5k→…

Q: Let ā = (−4, −5, −3) and 6 = (-5, −4, 4) Find a × 6. V >

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Q: (a2xdx а. 2a2x + C 2a²x b. + C In a 1 a²x + C 2 In a d. None of the above C.

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Q: Use Cramer's rule to find only the value of x2 , where a is a positive real number. 2x2 – x3 + x4 =…

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Q: 12x +1 dx. (2x- 1)2 (3x+2)? Evaluate: 1 (A (2x- 1)2 (3x +2)² +C B (2x- 1)3 (3x + 2)3 3 + C ⓒ In…

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Q: 4x, +2x, + x3 = -1 -4x, — 6х, + х, +Зх, %3 3 8x, +16х, — 3x, — 4х, %3D-2 20x, +10x, + 4x, – 3x, = 4…

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Q: Construct the addition table for Z5. Using this table, or otherwise, determine the following x in…

A: First we find addition table for Z5. Then find values of x.

Q: A All of the above B(D-xXD+ x) = (D+xXD-x)

A: In this question, the concept of differentiation is applied. Differentiation Differentiation and…

Q: Let P (x) = 2x - 15a + az?+ bx + c, where a, %3D Given that (x - 5) is a factor of P (r), find a…

A: It is given that,  P(x) = 2x4 - 15x3 + ax2 + bx + c It is given that, (x - 5) is a factor of P(x).