Compute Re if z₁ = 5√√2 + 2√3i, and z2 = 3√√√2-5√3i 2

Q: Find the equation of a circle centred at (-1, 2) and passing through (3, -3).

A: Center (-1,2) and passes through (3,-3).

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Q: 18. Consider the matrices [2 1 X1 A = 2 2 -2 and x = x₂ -B 3 1 1 X3 a. Show that the equation Ax = x…

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A: we can write by property of                           log6(1/36)= -log6(36)

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Q: Z₁=5-3i Z₂=2-i find-2Z1-3Z2|

A: Given Z1 = 5- 3i Z2 = 2- i

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A: purchased including commission=$10,600 selling price=$11,700

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A: We want to check whether function is even or odd.

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A: This question is related to permutations and combinations, we will solve it  using given…

Q: 13. 14 x₁ + 3x₂ = b₁ -2x₁ + x₂ = b₂ : 15. x₁2x₂ + 5x3 = b₁ 16 4x₁5x₂ + 8x3 = b₂ -3x₂ + 3x₂ - 3x3 =…

A: Using fact that system is consistent iff rank(augmented matrix)=rank( coefficient matrix)

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A: In this question we have to find the Interest for the given question.

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A: Solution As per given data, Here,3 worker have a 9 task to perform in consecutive manner. So we say…

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A: The base function is x2. Now,

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A: See the details solution in below

Q: Culminating Assignment 3. For the function g(x) = 5√3(x-2) + 4: a) identify the base function b)…

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Q: QUESTION 6 If I have a simple discount note for 75 days (ordinary interest), a discount of $150, and…

A: Recall:  I=PRT We have, I=$150, P=$11,850, T=75 days=75365 year

Q: no 19. A = a. A³ 3 [122 1 b. A-3 c. A² - 2A +I 2 20. A = 4

A: We can solve this as follows:

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A: The cost function C(t) =50+35twhere t is number of hours worked by the handman

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Q: 7. a) Prove the identity (cos2z) cos z sin z-2sin³ z b) State all restrictions for tan z. <= tan z

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A: Solve the following

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A: Total people= 7

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A: Topic = Algebra

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A: Find the slope

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A: This question is based on factorisation of linear and quadratic polynomial.

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Q: Form the negation of the statement. Mercury is not the closest planet to the sun.

A: Mercury is not the closest planet to the sun.