a) Evaluate (1 + 4i)² in the form x + iy. +i b) Evaluate 1 + 5i - 4i7 +6i6 in the form x + iy. +i c) Evaluate 5+7i 1 + i +i in the form x + iy.

Q: (3-4) (2+31) + 61 can be simplify to

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Q: 21. (12 + 5i)-(2 i) 24. (-6 5i)(1 + 3i)

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Q: 5(2-3i) – 4(4+6i)

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Q: b) Rationalize the numerator of 1 1 √7(x+h) √Tx - h Simplify your answer to the form A = A " where

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Q: 3/8 x 2/7 enter prouct in simpilist form

A: to find the product of 38×27proceed as follows 38×27=384×27=34×17=328

Q: Multiply 3i(2-3i)

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Q: (152+ 10i) – (153– 57i) =|

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Q: (6,7) m || 2/3 in standard form.

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Q: こ ( 6n +1 (b) Σ (-2i)". Is it entire? 2n +5

A: Here,  we need to find the radius of convergence for the given series. Also, we will check whether…

Q: 7) (2+i)? (-5-14 i)

A: Rational Numbers: All the numbers which can be written in the form of pq. Here, p and q are integers…

Q: Multiply/Divide a) divide -27 • divide -27 b) (1+5i) (1- 5i)

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Q: (3-5i)-(7-8i)

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Q: (-1+i)-(-7+4i)-5

A: Simplify the expression (–1+i) – (–7+ 4i) – 5 as follows.(–1+ i) – (–7+ 4i) – 5 = –1+ i +7– 4 i – 5…

Q: (1-6i)/(-10+8i)

A: Let

Q: (B) Evaluate f tan (7x +1) sec³(7x+1) dx.

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Q: * (51) + (1- 31) (Ada) (5-si) (-1+si) (multi ply) (multiply)

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Q: or the following quadratic function defined, (a) use the vertex formula to find the coordinates of…

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Q: Determine the product of (1+i) and (1-3i)

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Q: 4Q Express 2= (1+2i)² 7-i in the form a + ib where a and b are real numbers.

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Q: fu)=5+5X6 find inverse

A: Here given function as fx=5+5x-6 ; x≥65

Q: a) (2 x 10')(3 × 10?) = %3D vx 10^ 15x10 b) 3x10 x 10 c) (3 x 10 2) = vx 10A

A: a)  (2×103)(3×102)=(2×3)(103×102)=6×105 hence  (2×103)(3×102)=6×105     b)…

Q: (x-(2+6i)) (x-(2-6i)) multiply

A: Given information:

Q: Simplify 9 J25 + 2i 916 +8+ 8() + 19 +81/ -4(5t6) -36 5+6

A: As we know-

Q: Write the following complex expression in Cartesian from. Simplify as much as possible.(/bar…

A: The objective of this question is to simplify the given complex expression and write it in Cartesian…

Q: What is the simplifies form of (11 - 7i) - (-3 + 12i)

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Q: (2i-9)2

A: We need to simplify (2i – 9)2 and express in the form of (a + ib). We can rewrite  (2i – 9)2 as (2i…

Q: (a) Simplify i*+1 in real and imaginary parts.

A: As there are two questions given ,i only do the first.

Q: What is Im (i (3 + 2i) (7 +5i))?

A: Given that the complex number Imi3+2i7+5i   .

Q: why can't formula #5 be applied to ∫ xdx/ (5+7x)^2

A:

Q: (8(²x-4))-¹. √√16(3x²) 2(-x+1) = (***Note: calculation or explanation.***) 32(2x+3) 2(-15) 3 A)…

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Q: 4. Simplify 6 - 3i? + (5 - 2i*)(7 - i)

A: Answer and explanation is given below