Consider the set S = {x² + 1, 2x – 2, – x² + x}. The set S spans P2. If t(x) 2x? – 13x + 9 € P2 , then t can be written as a linear combination of elements of S. That is, t(x) = a · (x² + 1) + b · (2x – 2) + c · ( – x² + x). Determine a, b, and c a = c =

Q: J (x? — 4х + 4)10 dx

A: SOLUTION-

Q: 12x² +6x +4 4x² - 1

A:

Q: Review later 5. Algebraically, find all zeros of p(x) = x +13x2 - 48 in simplest form. %3D חזחה

A:

Q: 4. Show steps and find -9x²-9x-4 x³ - x 3 √⁹x² - dx. 3

A:

Q: Evaluate as indicated. If z(t)=2x2+7t-4. find z(-6) and z(3)

A: Topic:- algebra

Q: Determine a change of variables (make sure the coefficient of ₁ is po ₁+ X2 /1 and 12 so that + x₁+…

A: Given that the quadric from                            q= 30x21+(-5)x22+(-120)x1x2…

Q: find the range values of B for which  x2 + 4Bx + B to be positive for all real values of x

A: To find the range values of B for which  x2 + 4Bx + B to be positive for all real values of x

Q: Determine whether (2, – 1) and ( – 4, 2) satisfy the inequality 2x – 3y > 4. O (- 4, 2) satisfies…

A:

Q: he closed form for an+1 3an + n² with ao = 1. Verify your result.

A:

Q: .4 dx (x² + 9)2

A: To evaluate the following integral.∫x4 dxx2+92

Q: f (x) = x - 3x +1 and g(x 4x2 + x +5. Which one of the Let following expressions is equivalent to…

A: To find f(x)+g(x).

Q: Find ||v|| . v = 3i - 6j - 2k

A: Given vector is v=3i-6j-2k. To find v. Solution: We know that if vector is v=ai+bj+ck then:…

Q: the constants c1 and c2 such that: (3;5)=c1(1;-2)+c2(2;-3)

A: Given (3;5)=c1(1;-2)+c2(2;-3)

Q: Determine |z| if z =2−3i.

A: z = x +i*y |z| = √(x2 + y2)

Q: Expand and simplify. (c) (x+2)3

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

Q: Let P(x) = ax² + bx³ + x +1 where a and b are real numbers. Find values of a and b such that P(2i) =…

A:

Q: Determine whether x = (0 3 0 9 2) is a solution

A: Given that max   2x2+2x5s.tx1+x2-x5=1x2+x3+x5=5-2x2+x4+x5=5x1,x2, x3,x4, x5≥0 To determine…

Q: Solve; |2x  + 1|   x  > - 1 -2 > x > 1

A:

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

A:

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…

A:

Q: - A = 2x(x + 3) − 3x²(x + 2) + 6x² - 9x 3x (2x - 3)

A:

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.…

Q: Indicate the least integer n for which (3x6 + 2x2)(x3 + 3x) is O(xn).

A: Solution:-

Q: = 3x=6, g(x)=x-12, and h(x)=-2x-5 find each of the follow"

A:

Q: What is the resulting diagonalized

A: A quadratic form may be diagonalized by the following procedure: Find a variable x such that x2…

Q: 6. Simplify. a) (2x - 3x2- 6) + (6x – x³ + 4x² + 5) b) (x² – 4)(2x² + 5x - 2) c) -7x(x² + x - 1) –…

A: Given that -

Q: 1. (2x3 - 3x + 2) + (x² – x – 1) =

A:

Q: A. Convert the following quadratic functions y ax? + bx + c in the form y = a(x - h) + k 1. y = x² +…

A:

Q: Rewrite 4x3 + 5x? + 6 a +1 in the form r(x) q(x) + x +1 4x + 52? + 6 + x +1 I +1

A:

Q: Find the zeros ofp (x) =x² + 5x + 6

A:

Q: L{t(u0 – u1) + t²u1}.

A:

Q: If x(x + 9) > 0, then x and x + 9 are either both positive or both negative. TrueFalse

A:

Q: find the missing P and Q (x+P)(x+7)=x2+15x+Q

A: Given

Q: Find the value of k that satisfies the following equation:

A: Given: detb1+c1b2+c2b3+c3a1+c1a2+c2a3+c3a1+b1a2+b2a3+b3=k·deta1a2a3b1b2b3c1c2c3   To determine: The…

Q: Multiply. Show all work to receive credit for your answer. x²-25 x²+6x+5 x²+2x+1 x-5 X

A:

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.