2. a| = 3, b|| V6, the angle between a and b is 45° 3. |a| = 6, |b|= 5, the angle between a and b is 27/3 4. а %3D (-2, 3), Ь%3D (0.7, 1.2)

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

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A: Answer and explanation is given below..

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A:

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Q: Q1:a\ Show that a₁ a2 b₁ b₂ ₂x+d₂ c₂x+d₂ b3 c₂x+d₂| a2 xb₁ b₂ b, C₁ C₂ C3 Ja, a2 + b₁ b₂ by d, d₂ d

A:

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A:

Q: Suppose Zı= 4+4i , Z2= 5 +7i. Evaluate (a) 2 Z1– 4 Z2 Z2 (b) 3 Z1

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

A: We can find the given vectors.

Q: Consider Evaluate 3x)

A:

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A: ∫(4x+5x4+3)dxApply linearity:4∫x dx+5∫1x4dx+3∫1 dx

Q: 6. Which expression is equivalent to 3x( bx + 10) – (x - 5x+c)? A) -x +(3b +35) x- c B) -3bx + 25x +…

A: To find: The equivalent expression to the expression 3xbx+10-x2-5x+c. Calculation: Expand the…

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A:

Q: 15. 423-922 + 72 +3)e- dz

A:

Q: Find the value of each of a,b,c so that 6x3 − 7x2 − x + 2 = (x − 1)(ax2 + bx + c)

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A:

Q: A pair of digits (a, b) is such that 4a5b32 is a multiple of 66, find a+b.

A: Please see the below picture for detailed solution.

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Q: 2. Which expression is a factor of x² + 2x - 15 1) (х- 3) 2) (x + 3) 3) (x + 15) 4) (х - 5)

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A:

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A: Use cross product of vector