O -10 -10 (r, 0) = (-6, -6√3) (r, 0) = -5 -5 y 10 5 -5 -10 y 10 5 -5 -10 Point are given. Fiot the por 5 5 (smaller r-value) 10 Find two sets of polar coordinates for the point for 0 ≤ 0 < 2π. (larger r-value) 10 X X -10 -10 -5 -5 y 10 5 -5 -10 y 10 5 -5 -10 5 5 10 10 X X

Q: b) f(z) = (z2 + 28)/(z4 + 1) is a complex function. %3D Given So° (x2 + 28)/(x4 + 1)dx = at/23/2…

A: Given that,f(z)=z2+28z4+1 is a complex functionThe value of a is determined as shown below

Q: complex number

A:

Q: K' is the image of the point K after a reflection. K(2, -6) → K'(-2, -6) Over which axis was point K…

A:

Q: We have two complex numbers (C1 = 1+ j2) and (C2 = 4/-2.2°). Find %3D 1. Ст * С2 2. Ст — С2

A:

Q: Which of the following compositions had an original coordinate at the'origin (0,0)? Point C is…

A: let original coordinates of point c is (a,b) and lets find out c'' and compare

Q: 14) if 1z131, i(1 - z) = (z+1) tan (arqcz))] Show that 2.

A: z=1

Q: Absolute Value eeldyãgdi Ex. Find the absolute value of the Complex number Z=4+3c' 12/=Vy+3²=Vi6+9…

A:

Q: Let 2 = √2(cos+isin) z²=z*2 what does the solution set look like in the complex plane

A:

Q: The polar form Z = 2V3- 2i is Z = 4(cos + isin- 11m O true

A: The given complex form is Z=23-2i

Q: (5+j2)(3≤30º) (6 – j2)

A: Follow the steps.

Q: Let = 5√2-5√/2i 8 Write z in polar form. Then find z24 and write it in the form x + yi. Draw the…

A: Polar form of any complex number z=x+iy z=r cosθ+i sinθ Where r=x2+y2   and    θ=tan-1yx

Q: sketch z2 = z1* on the axis given z 1 = -1.7+j1 complex number 21 shown below: 3 Imaginary -2 -1 0…

A: Given thatWe have to sketchWe know that

Q: 3. Give the coordinates of K(-3, -8) after a 90° counterclockwise rotation about the origin. (0)

A: Coordinate K(-3, -8)

Q: Linear Algebra Let π: 3x-7y+2z=5 and X(1, -4, -7). (a) Find the coordinates of X', the mirror image…

A:

Q: (2 The graph of r= a sin (no) and r= a Cos (n E rose curves. If n is evem, for a 0. are called the…

A:

Q: Suppose that two lines Re((1+i)z+2i+3) = 0 and Re(2-bi)z+5) perpendicular. then b=. 0 are ||

A: We will convert the equation into cartesian form and then use condition for perpendicular lines

Q: 231 Evaluate the integral (x²yz + xy²z + xyz²)dzdydx 010

A:

Q: 6. Simplify: i72 a. i b. -1 C. -i d. 1 7. Multiply: (2- i)(4 + 3i)

A:

Q: Graph the following function: y = -2 cos ( - ) + 2 X П 2 8 Drag the black dot to shift your graph in…

A:

Q: 2) sin(r) dA, R is the triangle with vertices (0,0), (2,0), and (2, 4). R.

A: First finding the line equation And drow the region in figure

Q: If A(x₁, y₁), B(x, y₂) and C(x3, v3) are the vertices of triangle ABC and x+y=x+y=x+y. then show…

A:

Q: 8) roțațion 90° counterclockwise about the origin

A: topic - rotation

Q: (a) Find in the form of re'", the six complex numbers which satisfy the equation z° +32+ 32( v3 )i =…

A: