Solve z' +32 = 0. State answers in polar form and graph in the complex plane.

Q: identify the type of conic, the eccentricity, and the equation of the directrix. r = 8/1 + 4 cos θ

A:

Q: Write the complex number z =(-1+3i) in polar form: z = T(cos 0+isin 0) where and 0 The angle should…

A:

Q: Test for symmetry and then graph polar equation r2 = 9 cos 2θ.

A: The polar equation is r2=9cos 2θ.   Check for symmetry with respect to the line θ=π2. Replace r,θ…

Q: In Problem, test the polar equation for symmetry with respect to the pole,the polar axis,and the…

A: r2cosθ=5 To test for symmetry with respect to the pole, replace r, θ by -r, θ, we get…

Q: The propellers for a toy boat are manufactured by stamping out a rose with n petals and then bending…

A:

Q: Find a polar equation that has the same graph as the equation in x and y.(x - 1)2 + y2 = 1

A:

Q: 4. Find a polar equation in the form r = f(0) of the ellipse with eccentricity e = - such that one…

A:

Q: Please don't post this question on google 10 Given the polar equation r = 5-2 sin 8 a. find the…

A: Note:- As per your reqiest i am solving part b) only. From given sub parts of it.

Q: What conic does the polar equation r = 2/(1 + cos u) represent? Graph the conic

A: The given polar equation is Since, the cartesian coordinate(x,y) for the polar coordinate is given…

Q: Use the identity cos 2θ = cos2 θ − sin2 θ to find a polar equation of the hyperbola x2 − y2 = 1.

A:

Q: Identify the conic the polar equation represents and give the position of the directrix. 1 1-sin 0…

A:

Q: 1. Rewrite the Cartesian equation y = 3x +2 as a polar equation. 2. Rewrite the Cartesian equation…

A:

Q: Convert the given polar equation to a Cartesian equation. 2-cos(e)-4 sin(e) In Cartesian, this…

A:

Q: Evaluate the following and express the result in polar form. Note: Solve problem number 13 only.…

A: Any complex number z=x+jy can be presented in its polar form as z=r(cosθ+jsinθ) , where, r=x2+y2 and…

Q: Identify the conic section and graph the polar equation: r = 2/(1 - cos θ)

A: The given polar equation is r=21-cosθ Here, the given equation can be ellipse, parabola and…

Q: 4. Find the distance from the pole to the vertices, and then find the equation of the ellipse in…

A:

Q: Identify the conic that the following polar equation represents. 5 r = 10 + 5 sin 0 Select the…

A:

Q: Identify the conic that the following polar equation represents. 8 r = 2+2 sin 0 Select the correct…

A:

Q: Test for symmetry and then graph polar equation r = 2 + 2 cos θ.

A: Given polar equation is r=2+2cosθ. (i) Check for symmetry about the line θ=π2. Replace r,θ with…

Q: What are ( in polar coordinates ) the zeroes of the equation r = 8 sin ( θ ) + 8 ?

A:

Q: 4. Write down the name of the conic given by the polar curve r = 15/( 2 sine). Determine the…

A: Given the polar curve is r=153+2sinθ

Q: (6 cis 120°)(4 cis 30°) is equal to? answer should be in polar form also

A: (6 cis 120°)(4 cis 30°) is equal to? answer should be in polar form also

Q: Convert the polar equation to a rectangular equation. 1- cos 0 ..... Simplify the rectangular…

A:

Q: Identify the conic that each polar equation represents.Also,give the position of the directrix.

A:

Q: Sketch a graph of the polar equation. 3 2+3 cos 0

A: The given polar curve r=32cosθ

Q: -2-j3 3+j4 (final answer should be in polar form)

A: We need to evaluate complex number,  -2 - j33 + j4 First we need to multiply and divide by complex…

Q: 11. Write a polar equation of a conic with the focus at the origin given the following:…

A:

Q: Find the polar equation of a hyperbola with eccentricity 2, and directrix y = 5. Select the correct…

A: We have to find the polar equation of the hyperbola with eccentricity 2 and directrix y=5.

Q: Consider the polar equation of a conic. Determine the eccentricity. -5 r = 1 + cos(0) e =

A:

Q: convert the given polar equation to a Cartesian equation. Write in the standard form of a conic if…

A:

Q: Find (V2 + i ) . Answers must be in Polar and Rectangular Form

A: The given problem is to express the given complex number in the form of polar form and rectangular…

Q: What are the solutions to x = -4+4i in polar form? Select all correct answers.

A: Given, x3=-4+4i

Q: Convert the polar equation of a conic section to a rectangular equation. 8 r = 7 - 3 cos(0)

A:

Q: Please don't post this question on google 10 Given the polar equation r = 5-2 sin 8 a. find the…

A:

Q: 3. Write down the name of the conic given by the polar curve r = 6/(2-sine). Determine the vertices…

A: Given problem:- 3Write down the name of the conic given by the polar curve r = 6/(2-sin(θ))…

Q: 3. Write down the name of the conic given by the polar curve r = 6/ (2 - sine). Determine the…

A:

Q: Test for symmetry and then graph polar equation r = 4 cos θ + 4 sin θ.

A: Let us apply each of the tests for symmetry. Polar axis: Replace θ with -θ in the given equation.…

Q: What type of polar curve does the equation r = 8 sin^2 (@/2) represent?

A:

Q: 8 a. Given the polar equation r² sin20 = 8, find an equivalent Cartesian equation.

A:

Q: Test for symmetry and then graph polar equation r = 2 + 3 sin 2θ.

A: r=2+3sin2θ Replace r, θ with -r, -θ, we get -r=2+3sin2-θ⇒-r=2-3sin2θ⇒r=-2+3sin2θ Which is not same…

Q: Find a polar equation that has the same graph as the equation in x and y.2y = -x

A: Given, 2y = -x To evaluate polar equation that has the same graph as the equation in x and y.

Q: Which of these is the polar equation of a ellipse with eccentricity , and directrix æ = 5? Select…

A:

Q: Convert the given polar equation to a Cartesian equation. r= 6.cos(e) In Cartesian, this equation is…

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.