Write each of the following in the standard form a + bi.   (1) 1/(3-2i) 2) 5/(-2+i) 3) Z1= 4e^((5/18)πi) , Z2= e^((17/9)πi).  Find Z1xZ2 4) Given that z= 3 + 2i and w= √3 - 5i. Find zw and (z/w).

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A: Known fact: cosC-cosD=2sinC+D2 sinC-D2.

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A: sin(4x)=324x=sin-1324 x=π3,2π3now we find general soltuion4 x=π3+2nπ,2π3+2nπ

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A: We will answer the first question as you didn't mention any. Please resubmit the other questions…

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A: 10.The given equation is, 4y''+4=cos-1(x)

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A: To prove that the distance of the roots of the equation…

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A: Here we use the trigonometric identity  sin 3θ=3sinθ -4sin3θ

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A: NOTE: Refresh your page if you can't see any equations. .

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A: Explained below

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A: A delta function is defined as δ(t-a)=0     for t≠a∞   for t=a. The fundamental property of the…

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A: To find all the solutions for x

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A: For the solution follow the next steps.

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A: Here we solve inverse trigonometry problem.

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A: Given Equation : cos3θ+sin θ3 +12 =0 Find the positive roots of the equation.

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A: Here given  Cos(Θ)-sin(2Θ)=0 (Sin2x = 2sinxcosx)   Now equation can be written as cos(Θ) - 2sinΘcosΘ…

Q: 5) Solve the PDE by reducing it to normal form xuxx-yuxy = 0. (CO2)

A: Since you post more than one non interlinking questions as per our guideline we can solve only first…

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A:

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A: Our Aim is to show that the equation 2x+cos (x)=0 has exactly onereal root.

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A:

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A: Concept Used: Newton Method xi+1=xi-f(xi)f'(xi+1) Consider 5sin2(x)-8cos5(x)=0So…

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A:

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A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Find the last (right) two digits of 77". use Euler's theorem to solve it

A: we have to find the last two digits of 777

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A: 3cos2x+3cos6x we have to express as product

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A: Indefinite integral

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A:

Q: 8. Find the [50(cos150° + jsin150°)] a. 1.894 + j1.094 b. -1.894 + j1.094 c. 1.894 - j1.094 d. 2.25…

A: Solution

Q: (8) If fCx) = 3x*- +4X +1, Sind

A:

Q: 2x° + ,3 + 5x2 – 10x – 4 = 0

A: Let fx=2x3+5x2-10x-4 Then, f-1=2-13+5-12-10-1-4=9 and f0=-4 As f-1f0&lt;0 So, the root lies between…

Q: Find all values of sinh-1V2.

A: The answer is, loge(√2 + √3)  The detailed solution is as follows below:

Q: 1. Find all solutions of sin 2x = if 0sxs2n .

A:

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A: Here have to solve the given equation,  ln(x-11)-ln(x-6)=ln(x+1)

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A:

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A: The given trigonometric equations are  1. y = cos (1/2x + 1/3) 2. y = cos (2x + 1/3)

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A: Given: 4cos2θ-3=00, 2π

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A:

Q: Solve the following complex numbers 1. sin[ln(8 + j5)] 2.   sinh[ln(8 + j0)] + cosh(8ej0.785)

A: We need to solve the following complex numbers. Note: We will be using the trigonometric and…

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A:

Q: solve for x, x² = (28.935)² + (x– xsec20 – 1)° – 2 28.935)² + (xr – xsec- (28.935)(x – xsec- -1 )co…

A: Given that, the function is x2=28.9352+x-xsec302-12-228.935x-xsec302-1cos56.565.

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A: