Find the equation of the following polar graph: 10 5- -10 -5 5n 10 -10 - a) Or = 2+4 cos(e) b) Or= 4-2 sin(0) c) Or = 4 +2 sin(0) d) Or= 2+4 sin(0) e) Or = 2 - 4 sin(0)

Q: Write in Polar form: r(cosθ+isinθ)r(cosθ+isinθ). (0≤θ<2π0≤θ<2π and round to 3 decimal places)…

A: Given:     z = 8 + 10i    0≤θ&lt;2π

Q: 3. Find the cartesian equation of r cos 0 = -4 and identify its graph.

A: To find the Cartesian equation of rcosθ=-4 and identify its graph. Solution: In Cartesian…

Q: Given that the point (22.2, 129.7) in polar coordinates, find its equivalent in the cartesian…

A:

Q: Q7:- sketch the graph of the following polar equation. 3- r = 6 cos 6 1- 0 = 6. 5- r= 3(1- sin0) 2-…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts…

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

A:

Q: c. Please give three different polar coördinate pairs that represent the same point as (4, 37 /7)…

A: see below the answer

Q: 12/2 Use polar coordinates to evaluate dydx.

A: The region is bounded by x=1,x=2,y=0 and y=x

Q: Please Write down the solution clearly.

A: The complex form is , z=2cos2π4+isin2π4. To convert into polar form,  z=reiθ. In the given complex…

Q: Sketch a graph of the polar equation. C-8 sin(e) /2 /2 10 10 -10 -5 10 -5 -5 -10- /2 /2 10 -10 10…

A:

Q: For each point (x,y), give two sets of polar coordinates, where 0<=theta<=2pi problem : (3√3,-3)

A: Polar coordinates.

Q: The area of one loop of the graph of the polar equation r =2 sin 30 is Select one: O27 3

A: r=2sin3θ

Q: 4. Write down the name of the conic given by the polar curve r = 15 / (3 + 2 sine). Determine the…

A: We have to draw graph of given curve.

Q: What are the polar equations of the lines parallel to the line r cos (0 - ) = 1?

A: As a first step we will convert the polar equation into the Cartesian equation.

Q: Q2\ Replace the following polar equation by equivalent Cartesian equation and identify their graphs…

A:

Q: How many petals are there in the graph of the polar equation r = 2 cos3@ ?

A: Draw the polar curve

Q: 4Evaluate in polar fom; 1)' 3(-344i + (3+4i)(-2 3-4i

A:

Q: Replace the polar equation with an equivalent Cartesian equation. r 2 + 2r 2 sin θ cos θ = 576…

A:

Q: Sketch a graph of the polar equation. r- -2(1 + sin(0)) n/2 7/2 4. 2 .4 4 -2 2 4. -2 -4 n/2 7/2 4. 4…

A: Given, r= -2(1+ sin theta) Plotting for the given polar coordinates we have,

Q: Find zw and z/w, Leave your answers in polar form.

A: Given the complex numbers  z=2(cos5π3+isin5π3)w=3(cosπ3+isinπ3)

Q: TRUE OR FALSE. The polar equations r = cos 3θ -2 and r = 2-cos 3θ represent the same graph.

A:

Q: Below you are given six polar equations and plots of four of these curves. Match each plot with the…

A: Consider the curves

Q: 37 Cos 3 +i sin 37 4. of (Polar form) (Rectangular form) (Give an exact answer, without using…

A:

Q: What are the polar equations of the lines parallel to the liner cos (θ − π/3)= 1?

A: rcosθ-π3=1

Q: Which of the following graphs represents the polar equation defined by: r = 2+2 cos 0?

A:

Q: Sketch the graph of the polar equation using symmetry, zeros, maximum r-values, and any other…

A: make a table value to graph the function

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: Graph the polar equation. r= -4 sin 0 Part 1 of 2 Plot six points satisfying the polar equation r=…

A:

Q: Test r = 2 - 4 cos 2θ for symmetry and then graph the polar equation.

A: Given :  The curve  r = 2 - 4 cos 2θ .   To Test :   ( a )  The curve r = 2 - 4 cos 2θ for symmetry…

Q: find the quotient z1 / z2 in polar form where z1 and z2 are given below.  z = 24 [ cos ( 125° )] +…

A: We have to find polar form

Q: Match each graph with its polar equation. = 3 sin(20) b.r = 3 cos(20) %3D C.r=1+2 cos(0) 4-3 -2 d.r…

A: To match the graph with its polar co-ordinates.

Q: 37 r cos 0 =4, and rsin0=-3 on the same axis system. (polar) Graph 0 =

A: Here we put the value of theta in the given 2 equation and after that, we will sketch the graph on…

Q: Identify the type of polar graph. r = 5(1 - 2 cos(0))

A: Introduction: The limaçon is a form's polar curve. r=b+acosθ is also known as Pascal's limaçon.

Q: 2 4(cos 190°+isin 190°) 2, B = (-1+i)10 and C = 40e3™, solve for A + B + C. Express your final…

A:

Q: 5. If z = 2(cos 25° +j sin 25°), find z in polar form.

A: It is simple calculation in polar form

Q: (a) Convert 6 + 2i to polar form.   (b) Express 5 cis 30° in the form a + bi. Give an exact answer.

A: The complex number x+iy is represented in polar form, r cis(θ). Such that,

Q: Replace the polar equation with an equivalent Cartesian equation.  7r cos θ + 9r sin θ = 1

A: Answer is mentioned below

Q: The area of one loop of the graph of the polar equation r= 2 sin 30 is Select one:

A:

Q: The area of one loop of the graph of the polar equation r = 2 sin 30 is Select one: IT 3 2 4 2n 3

A: Solve by definite integration

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

A:

Q: There is a ready polar formula for negative one (-1) and also a ready polar formula for negative i…

A: As we know that any complex number z=a+ib can be written in polar form z=reiθ, where r=a2+b2  and…

Q: Find z1z2 in polar form. = 4 (cos(140°)+i sin(140°)); z2 = (cos cos(40°)+i sin(40°) Z1

A: We use the fact that  Cost+ i Sint = eit

Q: Express in true polar form, z = 5(cos 55° -j sin 55°)

A: We have to express in true polar form z=5cos55°-jsin55°.

Q: 1. Sketch the graph of r=1-cos in polar coordinates. [3 marks]

A:

Q: 10 Write an equivalent rectangular equation for the polar equation r = 3 sin 0-7 cos 0

A:

Q: 3Q. If z₁ = (cos50 – i sin 50), z₂ = (cos70 + i sin €) and z3 = (cos40 – i sin 40) then find 4 polar…

A:

Q: Sketch the graph of the polar equation and identify any symmetry. r = 3 cos(θ/2)

A:

Q: 5 Convert the equation from polar to cartesian. r = sin 0 – 2 cos 0 -

A:

Q: 6 Rewrite the polar equation r = as a Cartesian equation (rectangular) 1 – sin(0)

A: We have the relation between polar coordinates and rectangular coordinates as x=rcosθy=rsinθ