2. Shade the region of the complex plane defined by <z +4 + 3i : 3...
1. Sketch the region in the complex plane that contains the elements of {Z – 3+i:ze C,1<\2-11 <2} n {z EC: Im(2) >0}. Justify your answer.
3i)16 in polar form: z r(cos 0isin 0) where (1 Write the complex number z and e= The angle should satisfy 0 0 < 2«.
Sketch the region corresponding to the statement PC - c<z<c) = 0.6. Shade: Left of a value Click and drag the arrows to adjust the values. . +++++++++ 4 -3 0 -2 1-7 -1.5 2
3.) In region 1, p0,, and D(2+3+2)Clm2 In region 2, z<o, . In region 2250, a, = 3e, and at z-0, 3e, and at zo, 10 f, = d/m. Determine E. De E2 Factor 60 out ofyour expression for the electric flux density in region 2
Find all complex variables z E C with Izl < 10 that satisfy e: +2e-:-3. 23
where 7 is the region defined by >0, y >0, >0, r+y+z<3.
The solid S sits below the plane z = 2x + 5 and above the region in the xy-plane where 1 < x2 + y2 = 4 and x + y < 0. The volume of S is:
Let f (2) be defined by: k-?, <<-1 f(3) = z? +, -1<x<1 - kr1 Which of the following values of k would make f (2) continuous on R? Ok=0 There is no such value for k Ok= -1 Ok= 1
2. Shade the region of the complex plane defined by E + 5i : 2 비 42 e c . Jistify your answer. 2. Shade the region of the complex plane defined by E + 5i : 2 비 42 e c . Jistify your answer.
1. The surface encircled by a rectangular loop of N turns on y=2 plane is defined by -1< x<3 and 0 <z<3. Magnetic field is given by B = (a, 2xt + â,4yt?) cos wt. Find the emf induced in the loop as a function of time (x,y, z are in meters; Ę is in mT; t is in seconds)