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

Q: Graph the polar equation: r2 = 4 cos 2θ.

A: Graph the polar equation: r2 = 4 cos 2θ.

Q: Sketch the graph of the polar equation. r = 7 + 4 sin 0

A: Given, The equation, .

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

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Q: 11) Find the rectangular form of the polar equation: r = sin 0 + cos 0

A: Given: r = sin θ + cos θ To find: The rectangular form of the given polar equation.

Q: Express the following Cartesian coordinates in polar coordinates in two ways. (-3,3/3) ..... Select…

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Q: Perform the indicated operations and express the result in polar form. Note : Problem number 16…

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Q: Given Z1 = 3.45 < 980° and Z2 = -5 + 9i. Solve the following: 3VZ2?, final answer in polar form. 1.

A: Please find attachment for the details solution

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

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Q: 9. Transform the equation 2x?+2y?3 into a equa tion. Polar

A: Given

Q: Sketch the graph of the polar equation. r = 8 + 5 sin 0

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Q: Convert the equation x+y-9=0 to polar form. Then solve the resulting equation for r. O=0 Osino OcosO…

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Q: Match the graph with its polar equation. r = 2 sin(0) A/2 л/2 4 2 2 4 A/2 3- A/2 2 -1 2 - 2 -1 1 2

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Q: Graph the polar equation. r-4 cos 0 1444 1234.

A: To graph the given polar equation.r=4 cos θ

Q: 11. Give the polar equation of this graph. 司) (6,0) O2 4 8 10 0=0

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Q: Given z= -5 - 8i, what is z in Polar form?.

A: The polar form of a complex number a+bi is reiθ, where r=a2+b2, tanθ=ba. Calculate the modulus of…

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

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Q: Find the equation of the following polar graph: 10 5- -10 -5 5n 10 -10 - a) Or = 2+4 cos(e) b) Or=…

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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: Perform the indicated operation and convert your final answer to polar form z = r(cos® + isin®)…

A: Given query is to convert the expression in Polar form.

Q: 2 Convert the equation x+y- 36 = 0 to polar form. Then solve the resulting equation for r.

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Q: Show that every line that does not pass through the origin has a polar equation of the formr =…

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Q: snip

A: (a) z=3cos20°+isin20°w=5cos100°+isin100° Then we get,…

Q: Which of the following is the polar equation for the graph shown above? Or=1+2 cos(0) Or= 3 cos(30)…

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Q: Consider the polar equation defined by r= 5 cos(2 sin 6), where 0<0< 2x. Determine the missing…

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Q: Perform the indicated operation and convert your final answer to polar form z =r(cos0 + isin®) 3.)…

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

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Q: Evaluate the following a. 2/(1 + j4)

A: As per the guidelines  we can answer only one question.  If you want to get the answers of your…

Q: Sketch the graph of the polar equation.r = 2 sin 4θ

A: Given: r = 2 sin 4θ

Q: 1) (a) Convert BOTH of the below equations from either polar to rectangular or rectangular to polar.…

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Q: 5. Find the Cartesian form of the polar equation: r sin 0 = In(r cos 0)

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Q: Select the correct answer from each drop-down menu. 2+y2=25 is written in polar form as e = 225° is…

A: see below the answer and calculation

Q: 2. Find two polar representations for the point having cartesian coordinates (6V3,6). One of your…

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

A: Given, x3=-4+4i

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

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Q: By using de Moivre's theorem, find all solutions to the following equations, giving your answers in…

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Q: 2(V3 – i) (1 + 1)?

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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…

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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: Express the given equation in polar coordinates. 16xy = 121 121 ? cos 0 sin 0 = 8 121 r² tan 0 = 16…

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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: Which one of the following polar equations is equivalent to y =x -4. cos 0 – sin 0 4 4 cos 0 – sin 0…

A: Given that  y = x - 4 . We need to find it's equivalent equation in polar form.

Q: Express in polar form esin(-1+V3i). What are its arguments?

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Q: A Find a polar equation for 1. (x - 3)2 + (y + 1)2 = 4. 2.x2 + xy + y? = 1

A: Find a polar equation for  ( x -3)2 + (y+1)2 = 4 and x2 + xy + y2 = 1. Here i provide full solution…

Q: SOLVE THE FOLLOWING AND SHOW YOUR COMPLETE SOLUTION. EXPRESS YOUR ANSWER IN POLAR FORM. (2 – j3) =…

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Q: Graph the polar equation r= 1 - 2 cos 0. %3D

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Q: Convert the equation u - 5r +4 into polar formn ExpresS VOur answer as an equation r(6A)

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Q: Write a polar equation of the formr cos(0 – 0) = ro for the line x - V3y = 2.

A: We have to solve given problem:

Q: Match the graph with its polar equation. r = 2 sin(0) A/2 A/2 4 2 -2 2 4 - 2 2 - 4 A/2 3| л/2 2 1 1…

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Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.