Write each of the following in the standard form a + bi.   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: 10.The given equation is, 4y''+4=cos-1(x)

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A:

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Q: Solve 8(t-nt)cos () dt.

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Q: 5. show that the equaution sin X-3x+1=0 has only one real root

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Q: 1. Find a root of the following function using NR-method 38e-* + sin3x – 24 = 0 (4 iterations)

A:

Q: 2. y = 3e* cos 4x + 15e* sin 4x %3D

A:

Q: Solve che DE'sin with Euler 2?

A: For the solution follow the next steps.

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

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A:

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

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Q: Find a root of the equation 3x - √√1+sin x = 0 using iteration method.

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Q: a) S dt

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Q: Apply the Newton-Raphson method to find the root of the equation: xsin x=4cosx, that is closer to 1.…

A: As per the requirement of the question we will apply the concept of Newton Raphson Method to reach…

Q: Find the roots of 5sin^2x-8cos^5x=0, x_0=0.5, using Newton method

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Q: Find root √80 using Newton Raphson method.

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Q: Place these trig equations into general form: 1. y = sin (3/2x + 3π/2) + 5

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

Q: sin x – e-* = 0, [0,1]

A: Sol

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Q: y = 3e* cos 4x + 15e* sin 4x -X -X- %3D

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Q: Apply Aitken's A²-method to find a root of the equation sin²x = x² - 1

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Q: Differential equation question, as in picture

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Q: (2x-=) -- Solve the equation in (0, 2x). sin 2x- 4

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A:

Q: Solve 8(t – nt)cos(-) dt

A: Given integral is ∫-∞∞δt-πtcos1Tdt

Q: a. e¯* – 3logx = 0 ||

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Q: Q.3 Solve he fotlowing dfferen tial eyuetions ニ Cos x 3,

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Q: Find the root/s of the equation: sin 3x + 3e 2x sinx – 3e* sin2x – e-3x = 0. Set xL =1 and xU = 2.

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Q: 2x° + ,3 + 5x2 – 10x – 4 = 0

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Q: solve the following over [0,2Π) 2sin2(Θ)-sin(Θ)=0

A: Topic:- trigonometry

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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Q: se trig equations into general form: 1. y = cos (1/2x

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

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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.

Q: Show use of variable substitution to factor and solve over (0,2pi) when necessary. 4. 6sin2 θ -…

A: Solve by making factor

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.