Q3. Evaluate [(A +B). (à – B)] if à = 2î – 3ĵ + 5k and B = 3î + j – 2k

Q: (8 + 5i) – (2 + 3i)

A: Given : (8+5i) - (2+3i) To simplify the given expression. Here we  will use-…

Q: Perform the indicated operations and express the result in simplest form 3j2-j20+(10+j4)

A: Given expression is 3j2-j20+10+j4.

Q: (3x – 4)(x + 6) = 0

A: To find the values of x (3x-4)(x+6)=0

Q: If possible, write -4 – 2x – 3x as a linear combination of x - x?, -a? and 1 + x². Otherwise, enter…

A:

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

A: Topic:- Algebra

Q: 12x +1 S dx. (2x - 1)2 (3x + 2)2 Evaluate: (2x – 1)3 (3x +2)3 A) + C 3 8 in |(2x- 1)2 (3x+2)2| + C 1…

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Q: Find [4x³ (In x)² dx. O A. 1.4 X x In²x + In x + O B. x² ln² x - ln x + O C. x ln x O D. x ln x X 2…

A: Note : according to our gauideline, i can solve oy first so please reroute the remaining question.…

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: Calculate / ye*y dA, where R = [0, 3] × [0,6]. Са Answer:

A:

Q: 3. Perform the indicated multiplications. a. (4D + 1)(D – 2) b. (2D – 3)(2D + 3) с. (D — х)(D + х)…

A: Using multiplication of two brackets.

Q: Compute (2i + k) × (3j + 5k).

A:

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

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Q: Let a = - 4i – 33+ 3k and b = 4i – 33+ 2k. Find a – 36.

A: given   a→=-4i→-3j→+3k→    and  b→=4i→-3j→+2k→ we have to find a→-3b→

Q: Evaluate the following:

A: Given that: ∫(6x2-4x+1)dx

Q: evaluate (1 – 2i) – (-3+ 4i) O V13e-0.983i O 2V13e -0.983i A O 2 13e0.983i O 13/2e0.983i

A:

Q: Let u = 4u + 5v (9, -2, -8) and v = (4, −3, −1).

A: The required solution is:<56,-23,-37>Explanation:

Q: Evaluate: 2+ (5 - j14) 2 - (24 + j10) = 0 (24 j10) 0

A:

Q: (x– 3)² + (y+1)² = 2

A: Solve the equation

Q: V16 – V-36 v25 +v-16

A:

Q: Evaluate | x2 Q4. dx + 4x + 3

A: 4) To evaluate the integral

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: If v1 = and v2 = are eigenvectors of a matrix A corresponding to the eigenvalues A1 = -4 and A2 =…

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Q: 2C + 4D = [|

A: Given that : To find 2 C + 4 D:

Q: Let a = 5j + k and b - 27 + 3 + 2k. Find - 3ā – 36.

A: We can find the given vectors.

Q: Evaluate J - 11x + 10 (2x - 5)(x + 1) -dx + с

A:

Q: Simplify (ex)5 . e(7x + 6) to the form eA x + B) = eC. eDX where %3D A = B = C = D =

A:

Q: Determine the simplified form of (4 – 37) (–9 + j) – (8 – j5).

A:

Q: dt t² - 8t + 20 +2

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Q: Compute: 5 2 3 3 18 2 - 3 5

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Q: Q1- If z₁ =3+2i, and z2 = 1-2i. Fined the real part and imaginary part of the 2z2-z₁+5-i following…

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Q: Let X and y be two real numbers different from zero. Simplifying the expression 2xy ( - x2y) +…

A: To simplify the expression.

Q: Determine Proy,b si ā = 3i– 4j+2k y b = -2i+3j-k

A:

Q: Calculate 3 (i − 2j) − 6 (i + 6j).

A: Given, 3(i-2j)-6(i+6j)

Q: 3 If A = 3 what is A-1?

A: Given that: A=3-430

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: Subtract (4q - 8) from the sum of (3q² – 7q – 4) and (6q² + 6q − 2).

A:

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,…