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: Q17:- In polar coordinates prove that** 第。

A:

Q: Show that the equation of a circle passing through the origin and having intercepts a and b on real…

A:

Q: Find the distance from the point (0,3,0) to the plane 7x + 4y + 4z = 7. The distance from the point…

A: The Distance between a point to the plane  is given as follows

Q: Which of this is a parametric representation of the unit circle? * O x=sin t, y=cos t O x=3sin t,…

A: The solution of the problem is given in the next step.

Q: Evaluate F.dr where F(x, y)-ny I+ej and Cis the line segment from (2. 0) to (4, 0). a) 0 b) 2 c) - 2…

A: Solved below...

Q: Prad of Padius s Ciscle to (a) E B-j)2+2)

A:

Q: [10] (3) Consider the triangle, A ABC, in R³, given that the three vertices are = B с = GIVEN: S is…

A:

Q: Evaluate the given by using hyperbolic formula

A:

Q: ) Lt Z be a complex mumber and f (2) be function. ċ is a closed contour then f BIE)dZ is Im

A:

Q: Use the applet to translate quadrilateral ABCD 2 units left to create quadrilateral A'B'C'D', then…

A:

Q: 14) What is the y-coordinate of the midpoint of WU? Z 2+ -4-2 X2 •Y -2+ V U a) -2.5 b) -1.5 c) -0.5…

A: Explanation:

Q: Q4: using scalar prodect to find the angle between A= 2i+3j+1k B= -4i+2j-1k

A:

Q: Q1. Find the Jordan nomal form of T-2 A =|0 -2 -2

A: A Jordan normal form is an upper triangular matrix of a particular form called a Jordan matrix. Such…

Q: Let z be a complex mumber , f() b any funcion, and c be contour any then to f B(Z)dZ?

A: Let z be a complex number, f(z) be any function and c be any contour.     A contour is a type of…

Q: What is the real number a that makes the line 2 -1 y-12 z-7 a -2 3 parallel to the plane z -y - 2z=…

A:

Q: Scetch the following sets in the complex plane: b) {z € C; 3(2)R(2) + (2 - 2) = 0}.

A:

Q: (a) Evaluate APA: – 6) R where R is the solid hemisphere r² + y² + :² – 2r + 4y = 4, : 0.

A: We want to evaluate  ∫∫∫R9-z2dV where R is the solid hemisphere x2+y2+z2-2x+4y=4, z≥0 We can write…

Q: The figure satisfies the Midpoint theorem for a triangle. Calculate (x + y) 4у x + 4 6(у-1) 4x -2

A:

Q: Given the cartesian coordinate (√3, −1) a) Find the polar coordinate (?, ?), ?ℎ??? ? > 0 ??? 0 ≤ ?…

A:

Q: Consider the contour C : |z – 1+ 3i | =2. The point z=4– 2i Not def ined lies outside lies inside…

A: The given contour is                        and the given point is

Q: a): Identify the symmetries of the following curves and graph the curve in the Cartesian xy-plane.…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 1) Evaluate f f f(e-²-²-2)3/2dV, where D is the sphere of radius 1 centered at the origin.

A: Answer

Q: D in one polar plane, plet the following points a.) (4, π/3) bi) (-3, - STT) d.) (21-77) 4 e) (-1.5,…

A:

Q: Q1) A) Replace the polar equation r2 sin 20 = 2 by equivalent Cartesian equation. B) Graph the…

A: NOTE:- AS POSTED MULTIPLE INDEPENDENT QUESTIONS. WE ARE ANSWERING ONLY FIRST QUESTIONS FOR YOU AS…

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: 11. In 1970 the Department of Natural Resources released 1000 splake (a crossbreed ofE fish) into a…

A: The Malthusian growth model is P(t) = P0ert, where P0 is the initial population.

Q: Use Green's Theorem to evaluate §+(x² - y²)ẩx + xảy, where C is the circle x² + y² = 9. Select one:…

A:

Q: 3. B(-3; 4) is a point in the Cartesian plane. B(-3; 4) Determine: a) ОВ b) sin 0 c) d) tan 0 Cos 0

A:

Q: Q5: Evaluate f 5+3z² +5 (z-21)³ dz a) where C is the circle |z4i| = 1 b) where C is the circle |z -…

A:

Q: Q28) Use shifting graph to sketch a) y = |-vx +1|+2 b) y = -1 + 2cos (2x)

A: The graph of the function can be plotted using the shifting methods. The function shifts…