Write the following numbers in the polar form re", 0 < θ < 2T. Preview ,θ- Preview (b) 6 + 6i Preview ,θ- Preview , (c)-4+4i Preview ,θ- Preview Points possible: 1 This is attempt 1 of 10. Submit

Q: r = -4 sin 0,

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Q: Find two positive and two negative angles that are coterminal with the angle given. Theta = pi/6

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Q: Sketch the following polar functions a. r= 3+ 4 sin 0

A: Sketch the polar function : (a). r=3+4sinθ       We have, r=3+4sinθ        Its graph is :     (b).…

Q: Convert the following polar equation to the Cartesian. Describe the resulting curve. r = 2 sin 0+2…

A: Here we will convert the given polar equation in cartesian form and we will describe the curve,

Q: 3. Draw the polar curve r = 3 +sin 30

A: Solution: The objective is to graph the polar curve r=3+sin(3θ)

Q: Suppose the angle formed by the line y = 3x and the positive x-axis is theta. Find thetangent of…

A: The given equation of line is y=3x and theta is the angle between positive x-axis and the line.

Q: Convert the following from rectangular to polar form d) -8-j16 e) 0.02 -j0.003

A: Use the formula to convert rectangular form to polar form .

Q: Give two other polar coordinate representations of the point, one with r 0. (r, 0) = ( 3, – 2.14 X…

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Q: In AHIJ, the measure of J=90°, IH = 65, HJ = 56, and JI = 33. What is the %3D %3D value of the sine…

A: First sketch a triangle for the given measures as shown below.

Q: Find the area of the region in the polar coordinate plane . Enclosed by one leaf of the three-leaved…

A: The area of the region enclosed by one leaf of the three leaved rose between the origin and the…

Q: 7T Convert the polar coordinate 2, to Cartesian coordinates. 6 Enter exact values. y = Quoction…

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Q: Change the following from polar points (r, theta) to rectangular points (x,y). a)     (5,150o) b)…

A: We know that polar coordinates (r, theta)  and rectangular coordinates (x,y) are related by the…

Q: 65 7 4 8 9 10 12, 11 13 14 171 15 16

A: The UCS origin (0, 0), which is the point where the X and Y axes meet, serves as the starting point…

Q: Rewrite the following Cartesian equation as a polar equation using the variables r and 0. To input 0…

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Q: Convert the following polar curves into Cartesian. r= 2/(4-costehta)

A: Converting polar curves into Cartesian: r2 = x2 + y2 x = rcos θ y = rsin θ

Q: Change into polar co-ordinates S Va²-x2 Lzdydx, and evaluate.

A: From the given integral: I=∫-aa∫-a2-x2a2-x2dydx The limit of integral, clearly shows that y varies…

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: Write the following point in polar coordinates (r,0) into Cartesian coordinates (x,y) (4) Make sure…

A: The conversion relation of polar coordinate (r,θ) to the Cartesian coordinate (x,y) is given as x =…

Q: Plot the point given in polar coordinates. (-7,135°) Choose the correct graph below. O A. O B. OC.…

A: The given polar coordinate is r,θ=-7,135°. The conversion from polar to cartesian coordinate is done…

Q: 4) (1, 150°) 120° 150° 180° 210⁰ 240 90° 270⁰ 60° 2 3 300⁰ 30° 4 330⁰ Ꭴ

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Q: Q2) Convert the polar function r = tan20 to cartesian. %3D

A: Let's find.

Q: Find the slope of the tangent line to a given polar curb at the point specified by the value of…

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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: Find the slope of the line tangent to the polar curve at the given points. r=3cos2(theta); at the…

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Q: Convert the following polar curves into Cartesian, tehta = pi/3

A: Converting polar curves into Cartesian,

Q: Find a positive angle less than 2 pi that is coterminal with 31 pi over 8?

A: To express the given angle in the standard form (between 0 and 2*pi)

Q: Use your graphing calculator in polar mode to generate a table for each equation using values of 0…

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Q: Find the exact length of the polar curve r = (theta)^2 from 0 &lt;= theta &lt;= 2(pi)

A: The given curve is

Q: а. Use technology to graph these two polar functions, and then sketch the region R below. b. Find…

A: The area bounded by two polar curves 0≤r1θ≤r2θ , α≤θ≤β is given by 12∫αβr12-r22dθwe have given the…

Q: Convert the following polar curves into Cartesian r=2/(4-cos theta)

A: We know that--&gt; r2 = x2 + y2  x = rcosθ y = rsinθ

Q: Find the area of the region inside one leaf of the polar graph: r = sin7x

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Q: Write Ahe Comple x number (Y in the polar Form

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Q: Q2) Convert the polar function r = tan20 to cartesian

A: We know that x = rcosθ, y=rsinθ Given: r=tan2θ

Q: Convert the following equation from polar to Cartesian r= cose-sine Gnd Lat

A: Given:      r = 5 / (cos θ - sin θ)

Q: Find the slope of the polar curve at the indicated point. r = 4/theta , θ = 3π (with all the steps…

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Q: Perform the indicated operation and write the result in standard polar form. 2元 2元 ti sin 3 8 Cos 3…

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Q: Find the area of the region inside one leaf of the polar graph: r = sin4x

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Q: Convert the rectangular coordinates (4, 0) into polar form. Express the angle using radians in terms…

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Q: Use the unit circle to find all values of u between 0 and 2p for which cos theta = - 1/2

A: Given:          cos u = -12 To find:               The values of u between 0 and 2π.

Q: Write the following point in polar coordinates (r,0) into Cartesian coordinates (x,y) -8,-

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Q: Write the following point in polar coordinates (r,e) into Cartesian coordinates (x.y) 5, Make sure…

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Q: Which of the following Polar equat.

A: Here we have to choose the polar equation.

Q: Use your graphing calculator in polar mode to generate a table for each equation usingvalues of u…

A: Given: r = 2 cos 2u u r 0 2 15 1.73 30 1 45 0 60 -1 75 -1.73 90 -2

Q: Find polar coordinates for each of the seven points plotted in Figure 17. (Choose r > 0 and 0 in [0,…

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Q: Q2) Convert the polar function r tan20 to cartesian.

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Q: Convert to polar coordinates with r 2 0 and 6 between 0° and 360°.

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Q: QJchange to Polar ( dxdy - Ji-y?

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Q: Interpret the polar equation r = tanx secx geometrically.

A: Given  r = tan(x)sec(x)

Q: Draw the polar curve r = 2 – 4 sin 50

A: See the attachment

Q: Find tan theta if theta  is the angle formed by the line y = mx and the positive x-axis

A: We need to find tanθ for the given equation of line