Find a point zo where the function f (z) = (z – 8 – 10i) (z – 8 – 10i) is differentiable. What is the real part of z,? - -

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A: Given fx=F4x-4hence u=4x , v=4f'x=∂F∂u.∂u∂x+∂F∂v.∂v∂xBy chain rule      =∂F∂u.∂∂x4x+∂F∂u.∂∂x4…

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A: Definition of work:

Q: 3. Find , 9 for the functions: ax' ây sin(x³ + y* ) x* +y , (x,y) = (0,0) f (x.y) = .(x.y) = (0,0)

A: f(x,y)=sinx3+y3x2+y2, x,y≠(0,0)0, (x,y)=(0,0)

Q: Evaluate the given complex function f at the indicated point: *-2i f(z)=r+icos2(θ

A: Given complex number is -2i comparing with a+bi  we get  a=0, b=-2 find the modulus r given by…

Q: a) Use the definition of the hyperbolic functions to prove that 2cosh?(x)–1=cosh(2x). 1%3D

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Q: Evaluate:   φ (-9π)     (–1, 0)     (1, 0)     (0, –1)     (0, 1)

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Q: f(x,y) = x²y + 2xy² + 5y³

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Q: 1) Find the domain of the real-valued function given below 3 f(x) = VT – 2

A: Given that: f(x)=x-3x-2

Q: : Iff (z) is analytic at zo. (a) prove that it must be continuous at zo.

A:

Q: of of and da For the function f(t,a) = sin (4rt+ 7a), find - at

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Q: Compute an analytic expression, by hand, for the real and imaginary parts of the following complex…

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Q: If the point (π/6, -6) lies on the function y = 2sin (x + k) – 7 for the interval 0 ≤ k ≤ 2π,…

A: Given that  y= 2sin(x+k)-7 point(π/6,-6) lies on curve

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Q: Let f(z) : D C be a complex function. Is it possible for both f(2) and f(z) to be analytic? 2. • If…

A: Solution

Q: the interval in which the root exists for the function f(x) = x² – 16=0 - is Оа. [3,5] O b. [0,2] O…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: The value Of (1+1)8, is equal tO O 16 4 4i

A: 1)  f(z) = (x-y)2+ 2i (x+y)Here u = (x-y)2,  v = 2(x+y)ux = 2(x-y),   uy= -2(x-y)vx = 2,  vy = 2for…

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Q: A nonnegative function f has domain (0, ∞). At each point P(x, y) on the graph of f, the tangent…

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Q: 1. Identify and sketch the domain of f(x, y) = √y² + 4x + 2 In(1-x² - y²)

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Q: Determine whether the function is differentiable at x = 2.

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Q: Find the unique root of the function 2x3 – 5x2 + 3x – 1 = 0 in the interval [1, 2] using secant…

A: The secant method uses the formula: xn+3=xn+1-f(xn+1)⋅xn+2-xn+1f(xn+2)-f(xn+1) to perform the…