Use the given transformation to evaluate the integral. JJ (₁₂ (12x+16) d4. where R is the parallelogram with vertices (-1,3), (1.-3), (2,-2), and (0.4); x-(+) = (x-3) 224

Q: Let_Z1 = 3 + i and Z2 = 5 + 2 i . Find 2 Z1 /( Z1 - Z2) - (14/5)-2 i O (14/5) + 2i O - (14 / 5) + (…

A: Topic = Complex number

Q: Find x and y if (-3x - 9) + 4i = 6 + (3y - 2)i.

A: Given that,  (-3x - 9) + 4i = 6 + (3y - 2)i To solve for x and y, need to use below property of…

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

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Q: when y = In(2x – 4x). -

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Q: 8. (S.15). Write P20 r2+2r-1 as a linear combination of the polynomials P21 r-r- 2, P22 2r2-r+3, P23…

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Q: dx Find xVx+x+2

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Q: -3xdx 8. S: 2x+1

A: The given integral is; -3x/√(2x+1).

Q: Write y=2(0.5x-6)(6-24x) in the form y=k(x-r)(x-s) and give the values of k,r,s.

A: We have to factor out 0.5 and -24

Q: d da Compute (10-3x)*.

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

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Q: dx :Vx2 -1 1

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Q: .2 y = 4 - x² and x +y = 2.

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Q: Please find cross product c=a x b, where a= and b =. For c=16i+0j+?k, please enter the missing k…

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Q: 1 x+1 ST (2y-2)dydx Evaluate 0 °0

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Q: The i-component of +t is

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Q: 2 x²+yi -I -VI-2²

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Q: Find dydx if y=(5x4+2)-5

A: Given that , y=5x4+2-5 find dy/dx.

Q: Exc. Eind. Lim (x-1) y3

A: Solution:

Q: Evaluate the integral 1 xp- 9x² + 6x – 8 by first completing the square and using the substitution u…

A: The given integral is: ∫19x2+6x-8dx To evaluate this integral, first, make the square by adding and…

Q: Find xy² Una -dA, R= [0,4] × [-2, 2] x² + 1

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Q: Find all possible pairs of integers x, y so that 7x + 3y = 4. Then find which of these pairs makes…

A: Given:   7x+3y=4                        ........(1) We have to find all possible pairs of integers…

Q: 1/3y+1=1/2y-3

A: We have to find value of y for 1/3y+1=1/2y-3

Q: 2a - 5y dA, R =(-5,4] x [0, 3] R.

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Q: y = x² + x y = x + 5 2

A: y=x2+x y=x+5   a2-b2=(a-b)(a+b)