6) Perform the indicated operations. Leave the resul in polar form. [50(cos 236° + j sin 236°)][2(cos 84° + j sin 84°)] [125(cos 47° + j sin 47°)]

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

A:

Q: Draw phe Polar curve defind by r=4+2 Cos 36

A: Given:

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: Find the area of the intersection of the two polar circles, r = 2 * cos(Θ) r = 1

A:

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: Write in Polar form: r(cos 0 + i sin 0). (0 < 0 < 2n and round to 3 decimal places) 9 + 7i r = • 0…

A: The given complex number is: z=9+7i

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: 16) Convert –15 + 8j to polar form. Round 0 to 1 decimal point. 17) Convert 640° to rectangular…

A: z=-15+8jpolar form of z :z=rcosθ+isinθ     r=x2+y2tanθ=yxz=-15+8j      -15,8    2nd quadrant…

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

A: Given

Q: Write in Polar form: r(cosθ+isinθ). (0≤θ<2π and round to 3 decimal places) 8+10i r= , θ=

A: The polar form of a complex number z=a+bi is z=r(cosθ+isinθ). where, r=|z|=a2+b2 , a=rcosθ  and…

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

A: Draw the polar curve

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: 4) Use the conversion formulas æ = r cos 0, y = r sin 0 or r2 = x² + y², tan 0 = to convert the…

A:

Q: Evaluate the polar coordinate E| 4r2 cos 0 rdrd0.

A:

Q: Write in Polar form: *(cos e + z sin 8). i sin 0). (0 < 0 < 2n and round to 3 decimal places) - 17 +…

A: We have to find value of r and θ Consider ,z=-17+12iHere x=-17 and y=12 Here we will use the…

Q: Find the Slope of the polar urve at the indicated pont r= 6 sin 4e

A: Given,             r=6sin4θ , θ=0

Q: Sketch and find additional polar three points for (2,4pi/3). When r&gt;0 and r&lt;0. And theta is…

A: Given polar coordinate:

Q: 23) convertthe Polar Coordinate (3,315) to rectaugular coondinate

A:

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: What are the solutions to x3 = 5-5i in polar form? Select all correct answers. □50cis (12) □ 5√2cis…

A:

Q: Write in Polar form: r(cos 0 + i sin 0). (0 < 0 < 2n and round to 3 decimal places) – 12 – 3i r = ,…

A:

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

A:

Q: Show that the polar equation r = asin(θ)+ bcos(θ), where ab≠0, represents a circle, and find its…

A: We have to proof

Q: Find the areas of the regions in the polar coordinate plane described Enclosed by one leaf of the…

A: Area of the region bounded by r=fθ between the radial line α to β is A=12∫αβr2dθ

Q: Use De Moivre's Theorem to solve for z and leave your answer in polar form with the angle in radians…

A: If z=rcosθ+isinθ then the nth root is zn=rncosθ+2πkn+isinθ+2πkn and if z=a+ib then r=a2+b2 and…

Q: 3. Evaluate and write the final answer in Polar Form (40 points) 8 8TT a. 3(cos5 + isin 4 V2(cos +…

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: 6. Find the area of one loop of the polar curve r = 2 sin 30

A:

Q: Exqmple: tind to the followding polar equations- Or cos o =2 pt cośce-rt site=l ☺ r=l+2r Cose

A: We find the Cartesian equation to the given polar equations by substituting the followings:…

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

A:

Q: Express the polar equation r=2 sin 0 in cartesian coordirates.

A:

Q: Write in Polar form: r(cosθ+isinθ). 8+10i r=    , θ=

A:

Q: Find zw and W Leave your answers in polar form. - TC TO Z= 6 cos + i sin 11 11 TO W = 6| cos COS + i…

A:

Q: find wz and z/w anwer in polar form z=3(cos130 degrees+i sin 130 degrees) w=4(cos270 degrees+i…

A: We have given z = 3(cos130° + i sin 130°) w = 4(cos270° +i sin270°)

Q: 9.5. If s1 = aj + ib¡ and s2 = a2 + ib2, and s182 = (a¡a2 – bịb2) +i(a¡b2 +azb¡) use the fact that r…

A:

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

A:

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: 2. (a) Convert (5/3, , –5) to polar corodinates with r > 0 and then with r < 0.

A: If cartesian coordinates are (x,y) then polar coordinates are (r,θ), where  r2=x2+y2tan θ=yx Here…

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

A:

Q: 4. Draw the polar curve defined by r= 3 –2 cos 30.

A:

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

A:

Q: The cartesian coordinate of the polar coordinate (1, ), will be Select one: O (1, 0) O (0, -1) O…

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Q: If z = 3 (cos 15° + j sin 15°), find z* in polar form. (Express the argument in de- grees.)

A:

Q: Write in Polar form: r(cos 0 + i sin 0). (0 < 0 < 2n and round to 3 decimal places) 19 – 4i r = .0 =

A:

Q: [3] Determine the area of the triangle determined by the polar point (18, 240").

A:

Q: 8. Determine the area in one loop of following polar equations. Sketch after. (a) r = 8 sin(40) (b)…

A: The area with the polar coordinates can be calculated using the integration. The formula for the…