Let A(t) = 3ti+2]-4k, y B-21-21-3tk and C(t)=-1+3tj+6k. find Ax (B-C) dt

Q: 2x + 6y = 4 5x + 15y = 10 Use the substitution method and show work.

A: Given: The system of equations 2x+6y=4 5x+15y=10 To find: Solution to the given system by method…

Q: 1.Simplify: -2xy[6x² + {-6x³y – 2x²y – 2[2xy – x(3x²y– 3x – 2y) - 3x²] + 2x(xy)}– 3x²] a.

A: Topic:- Algebra

Q: Find (x + 1)v2r2 + 4x + 6

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Q: Find the product D (xD – 3) A) xD²– 2D B xD²+4D (c) xD² – 3D D xD²+3D

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Q: Find the quotient and remainder of (x' + 8x² + 19x + 13) ÷ (x + 3). A (x² + 11x + 52) R 13 © (x² +…

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Q: (2x+3)(x-1)

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Q: Find A x Bx C where A = {4,6},B={14,18} , C = {0}. O (4,14,0), (4, 18,0), (6, 14, 0), (6, 18, 0) O…

A: given A={4,6}B={14,18}C={0}

Q: Compute (2i + k) × (3j + 5k).

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Q: Consider (D3 + 3D² + 2D)y = 3x2 + 5x + 9. Using method of coefficients, what is y A y = 6x – x2 + 2…

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Q: Perform the following operations: 2. (2x4 - 5a3 + 3x2 – 5)/(x+ 2) 3. (4x - 2r3+ x² - 5x + 8)/(x² –…

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Q: = 1+x T(₁) = 7(x) = 7 (x²) = 4 + 3x. 3-22 2.1 Find T( a +bx+en 2.2. 2 2 = d -x73x T(4-x + from the…

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Q: Show that x2 - 4 is a factor of x* – 5x3 + 2x2 + 20x – 24.

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Q: Find the meteix A of the Lineak teansfoRmati on foom IRto IR . 2. given by x2

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Q: Multiply: 3y2(2y³ - 4y² + 5y) a. 6y5-12y + 15y³ d. 5y5-y¹ + 8y³ b. 5y6-y4+8y² e. 6y5-y4+ 15y³ c. 6y6…

A: SOLUTION-

Q: Express as a polynomial. (r 2 + 8r - 2-)(r 2 + 3r - 1)

A: Given expression:                         (r2+8r-2)(r2+3r-1)

Q: a. C. .-4 xy-² (-9x²y³ X3x¹y)² (√27x6¹²) b. d. (V16x4) ×5x8 3x 5y³ 25y² 9x v-²)-²

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Q: (4r2 – 6x + 3) + (2x² + x – 8)

A: Let us consider an expression, (ax²+bx+c)+(-dx²-ex+f) = (a-d)x²+(b-e)x+(c+f)  This is the required…

Q: 6. Expand and simplify: (3x +2y)4 Show all intermediate steps.

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Q: Find the x3 term in (x-1) (2x-2)4   4=n, 5 terms

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Q: Express as a polynomial.

A: We know the identity that, a-ba+b=a2-b2                  ⋯⋯1a-b2=a2+b2-2ab       ⋯⋯2 We have the…

Q: Find curl (5z i + 6x j + 2y k). curl (5z i + 6x j+ 2y k) = ( i )i + ( i )j + ( i )k Save for Later

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Q: Provide counterexamples for If (A −B) ∩ (A −C) = ∅, then B ∩ C = ∅.

A: The solution is given as

Q: Find a and b if a + (5 – 3b) i = ai + 2 (b + 5)

A: See the attachment.

Q: Evaluate: 22 – (8 – j5) z + 40 – j20 = 0 4+j3 O -4+j3 O 4-j3 O -4-j3

A: The roots of the quadratic equation: ax2+bx+c=0 is calculated using the quadratic formula: x1,…

Q: Find the linear factors of 2x²-y-x + xy + 2y - 1.

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Q: Remove the brackets -6(4– x) A +24 – 6x E -12 – x B -2 + 6x F -12 – 6x C 6+ 6x -24 + 6x -6 + 6x 12 -…

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Q: 2) Show that a3 + b³ = (a + b)(a² – ab + b²) is a polynomial identity. %3D |

A: Start with Right hand side as follows.

Q: Express as a polynomial.

A: The given expression is 3y3-2y2+y+4y2-3.