11. Evaluate fc z dz, where C is the line segment from i to 1 and 2(1) = † + (1 − 1)i for 0 ≤1≤ 1.

Q: Explain how you can find the coordiantes of a point 1/8 of the way from point A to point B.

A:

Q: How would I go about sketching z = 4 - 4x^2 - y^2 and z = 2(x^2 - y^2)^(1/2)?

A: Given equation of the curve  z=4-4x2-y2 and z=2x2-y2

Q: THEOREM 23. Let K be an integral operator on L,([a, b], a) Kf = | K(x, y)f(y) da(y) %3D where |…

A: Given that K is an integral operator on L2a, b, α, Kf=∫abKx, yfydαy With the condition that,…

Q: What is harmonic, or Fourier analysis

A: Definition of harmonics "The term harmonic comes from acoustics. It refers to the vibration of a…

Q: (a) If z = -1+i then determine | z| = r and Arg( z) = 0 and write z in polar form: z = r(cos 0 + i…

A: given z=-1+i comparing with z=a+bi a=-1, b=1 r=a2+b2=-12+12=1+1=2 therefore r=2 now argument z = θ…

Q: #8. In each case, sketch the set of points determined by the given conditions (a) /2-1+i/>1 (b)…

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Q: Find the area of the hyperbolic (geodesic) triangle with vertices (3,0), (4,0) and (5,0).

A: Let P(3,0), Q(4,0) and R(5,0) be three vertices.  It is known that the equation of hyperbolic line…

Q: If the point A(2,7) was dilated by a factor of 2 with a center at the origin and then translated by…

A: A dilation by a factor of 2, transforms A(2,7) into B(4,14)  [Since, 2×(2,7) = (4,14)]

Q: a) f(z) = vz+Vz - 1 b) f(z) = Vz2 +9 %3D

A: A branch point of an analytic function is a point in the complex plane whose complex argument can be…

Q: A. y = C₁e + C₂ex B. y = C₁e²+ + C₂e²x C. y = C₁e/x + C₂e == x D. y = C₁e + C₂xe-x -2/x E. None of…

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Q: sin (2x) dx (x²+L)(x-3) 3) (sin (2x) 88

A: We solve by Contour integration.

Q: Question number 10. P({1,8}) n P({1, -2,8})= {ø, {1}, {8}, {1,8} } {{8}, {1,8}} {1,8, -2} {{2}}…

A:

Q: How to differentiate elliptic, parabolic, and hyperbolic PDEs?

A: Consider the second order linear PDE in two variables Auxx + Buxy + Cuyy + Dux + Euy + Fu = G

Q: Find all point of discontinuityz is a complex variable, z=x+iyf(z)=(1/z)-sec(z)

A: To analyze the behaviour of the given function of the complex variable z.

Q: Part B please g(x,y,z)=x^2+y^2+(z-3)^2

A:

Q: No. 2 2. If X-N(u-3, ²-2). Find the distribution of the following: C. V = 2-4X 5

A: To find the distribution the step is to express the transformed random variable as a linear…

Q: What kinds of changes occur in the Coefficients of a Nonbasic Variable when the original model is…

A: Answer is explained below

Q: z is a complex variable z=x+iyFind all points of discontinuityf(z)=(3z^2 +4)/(z^4 -16)

A: To locate the points of discontinuity of the given function f(z) of the complex variable z.

Q: 1 Evaluate the expression for w = 1. w+2= - in

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Q: Find the cоттоn points of the circles (x + 1)² + (y – 1)² = 5 and x² + y? = 1.

A: Common points of the circles simply means the point of intersection of the given circles.

Q: 6. Let f (z) be analytic and nonzero in a region R. Show that |f(z)| has a minimum value in R that…

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Q: Let F be the vector field F(x,y, z) yzi + xzj + xyk and C the ellipse given by r(t) = 5 cos t i+…

A: Given vector field: Fx,y,z=yz i+xz j+xy k The ellipse C is given by: rt=5costi+3+2sintj…

Q: Question 31 Evaluate (8x)sec (82)da + C

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Q: 2 Find a basis for the column space of A = 9. 7 -5 {[ 2 Ex: 5 Ex: 5 -5

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Q: Question 21 'dz 3 (9z2+4) 2

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Q: 1) Find the intercept(s) and vert ex of the parabola. y=x^2-1

A: