Show that ri =1+i, r2 = 1-i is a solution of (3+ i)x + (1+ i)x2 = 4 +4i %3D

Q: Find A and B such that 2x-1/(x+1)(3x+2) = A/x+1 + B/3x+2

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Q: 2sin2t=4sint+6 [0,2pi)

A: Answer and explanation is given below..

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: 2+3jy X-j

A: (2 + 3jy)/(x - j) = 2j            (2 + 3jy) = 2j (x - j)              2 + 3jy = 2xj - 2j2 We know…

Q: 2+1 dt

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Q: Express in the form of x + iy: 6-7i (i) 5+i 1 + (3+i)2 1 (ii) (3-i)2

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Q: Let 1 2 -1 A = 2 4 -2 -2 Describe all solutions of A = 0. * = x2 +x3 +x4

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Q: Find the General Solution of (D² + 5DD' + 6D²)Z = 10 cos(x – y)

A: Given partial differential equation is D2+5DD'+6D'2Z=10cosx−y. We have to find the general solution…

Q: Cakulate (3i+2j+k) • (i + zj - k

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Q: a) Find a (b + c) b) Find | a. (b+c) |. State its geometric interpretation. c) Find a vector that is…

A: a=3i-2j+k,b=-2i+j-4k,c=-i+j-3k

Q: 5 G-45 + VE - 2)at

A: We have to find integral of the given function, here we use formula for integrating the polynomials.

Q: Find (4z² + 3z")dz -1

A: In this question, we need to find the integral of the given function.

Q: 6. Find the limit of each, if possible. In x a. lim x→14x – x² - 3 cos x + 1 b. lim x→n (x-n)2 x3 c.…

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Q: Students were given different drug treatments before revising for their exams. Some were given a…

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Q: = (2xy + z² )i + (x² +z)j + (y + 2xz)k, determine a possible value for .

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Q: Find real numbers and such that 2.x – 3iy + 4ix – 2 y – 5–10ix = x + y – iy + 2-(3– x)i

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Q: Show that xp-yq=z and x^2p+q=xz are compatible and solve them

A: Given   :   xp-yq =z and  x2p+q =xz To find : Solution of Differential equation

Q: Calculate  x and y (2+xi)+(y+3i)=7+4i

A: Complex numbers are those numbers which is represented in the form of (a + ib) where is a real part…

Q: 1 da (2a + 1) +1) 1. 8.

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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: 5sin 20 – 16sin0+3=0

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Q: [-3i-2]]-[-2i-5j]= • 2 + ງ

A: Given-3i→-2j→--2i→-5j→

Q: b. 3+V5-x 3I

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Q: Solve (ut)² + (Ux)² = 1

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Q: I-1 I 1² +51 +8 dz

A: Given, ∫x-1x2+5x+8dx