8- of What is the value of (z + e22) dz, where C is the positiv C oriented circle |z - 1= 1 in the complex plane? %3D a) O ri b) None c) O 0 181110 d) 2ni

Q: Q.2)(A) Find a formula for the area of the triangle in the xy-plane with vertices at A(0, 0), B(a1,…

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Q: Write a paragraph explaining how the distance formula giving the distance between two points (x1,…

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Q: 3. Express (j-3)° in rectangular form.

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

Q: 2. Evaluate the quantity e™ for each of the given values of 0. Give your answer in rectangular form…

A: As per bartleby guidelines we only give first three questions answers.

Q: 3. Express the principal value of 1n z in rectangular form. a) z = -5 b) z = -2 + j2 c) z = √2 + j√6…

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Q: z is a complex variable z=x+iy pic attached with question  Evaluate using L’Hospital’s rule

A: To calculate the limit of the given indeterminate form using L'Hosptial rule

Q: a) Express (-√3+32) in the form rei, where (radians) lies in the second quadrant. Give your answer…

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Q: Find the length of DF * 1 point F G 4 ст E 3D B,--- C 9 ст A 4 ст 9.8 cm 10.6 cm 5.7 cm Other: ООО О

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Q: Let z2T3-L p=S+Si O fird all the complex mumbers %3D guien by hza

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Q: f. Sketch the curve in the complex plane given by i. Iz - 3| = |z + 3i| ii. z? +z? = 2.

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Q: SKetch the Cuove in the Complex Plane given by 12-3) = 1z+31| %3D

A: The detailed solution is as follows below:

Q: B. Identify the center and radius of the ff: x² + y² + 8x + 24 +18 = 0 x² + y² - 6x 12 y = 0 x² + y²…

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Q: 1) Let z be a complex mumba and be any function. f c isa closed contour then f RIZ)dz is Im (812))…

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Q: Q13: Find the polar form for the following: a) 5+ j7, b) 7 + j 3, c) 9+j6

A: Let a number be given by a + ib.The equivalent polar form is reiθ where r =  and Search This…

Q: Parametrize the directed line parabolic segment y = x2 that joins 2 + 4i to −1 + i.

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Q: c. Find the distance from Po = (3,9, 6) to the plane 3.x + 4y – 5 = 0.

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Q: Find the area of the triangle formed by the points A = (3, –1, 2), B = (1, 1, 0), and C = (1,2,–1).

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Q: Find polar coordinates (r, 0) of the point (-2√2, 2√2), where r <0 and 0 ≤6 a. 5 *(-2√2. ST) 3 b. 2π…

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Q: What are the coordinates of point B on AC such that AB is of AC? 3+ 1+ -1 3. -1+ -2- A -3 Choose 1…

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Q: 8.) Consider the contour C in the complex plane consisting of the portion from z = 1 to z = 2+ i. of…

A: A.Now, let's find an antiderivative of z^{2} with respect to z. We have \frac{1}{3}z^{3}+C, where C…

Q: Q/ Prave thet 27 Coshz-Log(2+1 Complexumber

A: The given problem is to prove the following inverse hyperbolic trigonometric identities.

Q: Evaluate ſc zsin(2²) dz where C is the union of the lower-half of the unit circe in clockwise…

A: The complete solutions are given below