5. Given the point P(-3,). Find 2 other polar coordinate representations of P with r >0 and two with r< 0. That means 4 points total.

Q: Consider the point P with polar coordinates (1, 3m/4): P = (1,37/4) From the list of point below,…

A: A point  in plane polar coordinate satisfies following properties, r, θ=r, θ±2nπr, θ=-r,…

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

A: see below the answer

Q: 2. (3+j4)(6+)7) convert to polar form (Az0) Hint: x = en(x)

A:

Q: If z1 = 13 – 10i and z2 = -15 + 9i, determine the following: ) (z, + z2) (Polar Form)

A: The general form of a complex number is given by z=a+ib, where a,b are two real numbers and i=-1.…

Q: Match the points in polar coordinates (r,θ) which represent the same point. (1,5π/4) =…

A: We have to match the points in polar coordinates (r,θ) which represent the same point.…

Q: All the polar coordinates of the point (4,) are: (o) (+종+ 2am) amd (-+종+ 2am) (6)(4 + 2) and (-4 +…

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Q: 1. For the polar coordinate (r,0) = (-2,7x/6), give one coordinate rUand -2nsOs 2n.

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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: Consider the point: (r, 0) = (– 4, – 4.5). On the graph below, drag the purple point to the location…

A: Since r is negative, the point  the point lies on the ray opposite of the terminal side of θ Please…

Q: 18. Find the distance AB between the centers of the two rollers in Fig. 6-43.

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Q: 9.5. If s1 = a+ib¡ and s2 = a2+ib2, and s1s2 = use the fact that r= Va² +b² and (a¡a2 – bjb2)…

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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: 29. Calculate /| (xy +e*)ds, where S is the triangle in Figure 18 with vertices (0,0, 3), (1,0, 2),…

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Q: To test whether the graph of a polar equation may be symmetric with respect to the line θ = π / 2 ,…

A: Given that,  the graph of a polar equation may be symmetric with respect to the line θ = π / 2 .

Q: 1. Find the coordinates of the image of (-2, 4) under the following reflect (a) ay=o (reflection in…

A: Here we have to find the coordinate of the image of the (-2, 4) under the following reflections.  a)…

Q: Choose True if the statement is correct, otherwise False. The point (-13,–1107/4) is located between…

A: To convert the polar coordinates to the rectangular coordinates the formula used are x=rcos(θ),…

Q: B/convert the points below to the polar coord 1. (2,-2/3) 2. (-1, -1) 3. (-20,7)

A:

Q: 3 plot the polar graph r=2(1-sino) %3D

A: Given : Graph = 2 (1-sinθ)

Q: 2) Classify each of the polar graphs as line, circle, cardioid, limaçon, lemniscate, rose, or…

A: 1) First curve is Archimedes Curve. 2) Second curve is a Lemniscate. 3) Third curve is a Limacon.

Q: What is the polar representation of z = 6i?

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Q: Find the area inside one leaf of the polar graph: r = 3cos3x

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Q: 12. Plot and label the following points on the polar graph: P ( 5, 37 Q(-4, 7/12 /2 2/3 3/4 135 79…

A: Given Plot P and Q on the graph polar graph,

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: 4. Use the polar graph for the following */2 2n/3 3n/4 5n/6, 7n/6" 5a/4 71/4 4n/3 ŠR/3 3n/2 d)…

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Q: 2.2 Find upper bound of 2+4 (z – 3i)³ + 1 where C is the circle |z – 3i| = 4.

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Q: in C6. Evoluate the Rxpiession, write your ans wer polar and rectangulor form

A:

Q: Show that any axis is the symmetry axis for the s orbital defined as 1 s(x, у, 2) %3D

A: Given The s orbital is given by sx,y,z=14π.

Q: compute the length of the polar curve.  The cardioid r = 1 − cos θ in Figure 16

A: compute the length of the polar curve.  The cardioid r = 1 − cos θ

Q: Find two polar representations of P(3,4), one withr >0 and one with r < 0.

A:

Q: 2. Give 3 other representation of the polar coordinate (changing the sign of r at least once). (2)

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Q: 13. Prove that the three points (-3, 2, 4), (6, 1, 2), and (-12, 3, 6) are collinear by using the…

A: To solve the following problem

Q: 1. Find the coordinates of the image of (-2, 4) under the following reflections. (reflectin (d)…

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Q: Given the states lp) = 3|0) – 2i|1) and |ø) = |0) + 5|1) , (a) Show that these states obey the…

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Q: Reduce the following to polar form. (3– j4)(10|40°) 6+30 53.13° (6+ js)+-

A: By using polar to complex and complex to polar form we can reduce the expression to polar form

Q: Make a graph of the following curve using polar graph paper r = 3 – 3cose. CL

A: Given function is

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: 2 Draw the projection of b onto a and also compute it from p=za: |3D COs O sin 0 (a) b = and %3D a =…

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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: (c) Find z,z, in polar form given z, =5/3cis(120) and z, =V2cis(210).

A: Multiplication rule for two complex numbers in polar form:

Q: What consequence does the lack of uniqueness of polar coordi-nates have for graphing? Give an…

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Q: 11 write the rectanqular coordinate equation x2+y²= coordmates and sleetch the graph, in polarr

A: Given the equation x2 + y2 = x in the rectangular coordinates and we have to convert into polar…

Q: Plot the given polar point and list 3 more equivalent points. 1) (4,

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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: What are the perpendicular generators on (P) to 4 %3D of the surface

A: Given equation s are, x216-y24=z....1x3=y2=z-4...2 Equation of generators of the hyperboloid (1) are…

Q: prove that there is a line through two distinct points if and only if their polars intersect in…

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

A: The given polar pair is 4,3π7

Q: (B) if y = -x sketch in polar

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Q: 3.1 Show that upper bound of fe dz, where C is the circle |z + 4 – il = 7. z+5i-1

A: The given problem is to find the upper bound of the given complex integral over the region of circle