Find each of the following in rectangular (a + bi) form if z = 2 – 3i; if z = x + iy. 20.

Q: H=40cm 3 A in --->

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Q: If Z. = - 10 + 5i and Zz = 16 - 8i, determine the following: Z,Z, in exponential form.

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Q: Find the real component if the nth root of a + bi is determined for a = 10, b = 8, and n = 5. Round…

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Q: Find 1+4i/2-i

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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: . If OM = 8 and MY = 9, what does XZ equal? a. 6V7 b. 2V17 c. V145 d. 30

A: Consider the given diagram, it is given that OM=8 and MY=9. here the objective is to find the value…

Q: 2.) ( 4x - 29x- 38) ÷ ( 2x + 3 )

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Q: aluate. v2

A: Integration: ∫-12(-x2+x+2)dxWe know∫xndx=xn+1n+1

Q: 18. Express the following in simplest form: (3+ 4i)?(3 – 4i)²

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Q: z = 77 – 27.8i

A: Given, z = 77 - 27.8 i To determine real and imaginary part

Q: If A = -4 + 2i and B = 3 – 5i, in which quadrant does A + 2B lie?

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Q: Evaluate. V3 sin 士 %3D 2 + = [Select] a = [ Select ] b = [ Select ]

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Q: -1 2x -бу -3 3 -1 -8y U Xu Use only positive exponents in your answer.

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Q: Let a = - 5i + 33 + 2k and b = - 4i – 3 + 4k. Find a x b. ä xb = k

A: Cross product is the binary operation on two vectors in three dimensional space. It again results in…

Q: 12

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Q: Let z1 = 4 + 4i and z2 = 4 – 5i. Find (in the form x + iy): (5z1 + 4z2)? +i i i

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Q: Find the reciprocal of (1.5 + j2.5)

A: The given complex number is 1.5+j2.5 This can be rewritten as 1.5+2.5j The reciprocal of the given…

Q: 22 21 and 21 in the form x + iy. Let z1 = 17 + 3i and z2 = 20 – 5i. Find 22 21 22 22 21 || ||

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Q: Verify that              a.(b x c) = b.(c x a) = c. (a x b) if               a =4i – 3j +6k ,  b=…

A: Given that a→=4i-3j+6k, b→=5i+4j-3k, c→=4i+6j+3k We have to verify that a→·b→×c→=b→·c→×a→=c→·a→×b→

Q: +2x x+4 xp- 5.

A: Consider ∫x5-x3+2xx2+4dx = ∫x5+4x3-5x3+2xx2+4dx= ∫x3(x2+4)-5x3+2xx2+4dx=…

Q: Express 3x, xπ, and xsin x using the base e.

A: Our Aim is to express the following function using the base e given below:-(i) 3x(ii) xπ(iii) xsin x

Q: Let z = 3 + 9i and w = 2 – 7i . Find out the following in the x + iy form. 4. z-1 – w-1

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Q: 4. Simplify. Write each expression in the form a + bi: a. (5 – 21) + (-3 +7i) b. (5 – 2i) – (-3 +…

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