6. Given a point, find three additional polar representations of the point, using -2 T

Q: Find the exact length of the polar curve r= e88, oses 27

A:

Q: 3. Draw the polar curve r = 1+3 cos 30

A: THE POLAR CURVE OF THE GIVEN FUNCTION r=1+3cos3x will be,

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

A:

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: The length of the polar curve curve r=5 cos4 OS e S 2n is equal to 80 3 20 3 40 O 20 160 3

A:

Q: 24. Which of the following polar curves is a cardioid? A. r= cos () B. r= 2+3sin® C. r = 3– 20ose…

A: 24)      A. r=cos2θ2                                                         B)r=2+3sinθ…

Q: Which of the following graphs represents the polar equation defined by r > 2 and T <0< 37

A:

Q: Which of the following graphs represents the polar equation defined by rs2o号s0s學, 3T

A:

Q: 13πt Match the point in polar coordinates 3, 4 04(3, 1) 3π 4 C(3, -t) D(-3, =) OB 3, OD Ś to the…

A: This question can be solved using the concept of polar coordinates.

Q: 2 The rectangular cererdinates of a paint are given as (-4, -3) . Find the polar courding tes for…

A: We know that in 2 dimensions a point in its polar coordinates is given by   (rcos(θ),rsin(θ)). Thus…

Q: In Problem,match each of the graphs (A) through (H) to one of the following polar equations. r = 1 +…

A: Given : r = 1 + cosθ

Q: 18. Find the exact length of the polar curve.r= 4 sin 0 ,05OST 4

A:

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

A:

Q: 2. 6 27 4 6 2 Find three additional polar representations of the point, using -2n < 0 < 2n. (Enter…

A:

Q: 12/2 Use polar coordinates to evaluate dydx. 3 0. (x² + y²)²

A: To convert cartesian coordinates to polar coordinates , put x=rcosθ, y=rsinθ , dydx=rdrdθ So,…

Q: Show that the polar equation for x2/a2 + y2/b2 = 1 is                                           r2 =…

A: Plug x=rcosθ and y=rsinθ

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

A:

Q: The polar form Z = 2V3- 2i is Z = 4(cos + isin- 11m O true

A: The given complex form is Z=23-2i

Q: 2. Given z = (22 + m) + 4i and =-6-(8+n)i. Find w and write it in polar form %3D m = 5 N = 4

A: Given: z=22+m+4i and zw=-6-8+ni To Find: Find w in the polar form if m=5,N=4

Q: B/convert the points below to the polar coordination (r,e) 1. (2,-2V3)

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Complete the table of values below. Then, sketch the graph of r = 2 - 3 cos in polar coordinate…

A: Given r=2-3cosθ in the  polar coordinate system We need to find "r" for all the angles     For θ=0,…

Q: Which of the following are intersection r= cos(30) r = sin(30) points of the polar graphs: ? Select…

A:

Q: In Problem,match each of the graphs (A) through (H) to one of the following polar equations..θ =3π /…

A: To draw: The graph of θ=3π4. Given information: The angle is θ=3π4. Explanation: Suppose a ray…

Q: a1/Giaph the Polar function? +4YCOS8-815ine=-4

A:

Q: 456 Aich eguetionrepřesents the polar graph? Select one: FO None of these 6sin20 6cos20 sin 40

A:

Q: 19. Which of the following polar functions is a limacon with dent? A) r= 2+2 cos 0 B) r= 2+5 cos 0…

A:

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

A:

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: 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)…

A:

Q: In Problem,match each of the graphs (A) through (H) to one of the following polar equations. r = 2

A: Given polar equation r = 2

Q: Find the exact length of the polar curve described by: r = 8e 3 on the interval a <o< 9n. 2"

A: The length of a polar curve r=fθ in the interval α≤θ≤β is given by L=∫αβfθ2+f'θ2dθ. The given curve…

Q: he best answer. Question 4 What is the polar form of –2 - V3-j ? Note: Z symbolizes "cjs". Round-off…

A:

Q: Which of the following gives the Cartesian form of the polar equation r = 7 2cos 0+5sin 0 Select the…

A:

Q: Consider the point: (т, 0) — (2.2, — т). On the graph below, drag the purple point to the location…

A: The graph the below point and also to find its equivalent polar coordination.

Q: Express z 13+ V3i in polar form. Find the value of z if e =1.

A: Complex number in polar coordinate is given as:  z=reiθWhere r=x2+y2   θ=tan-1yx Given complex…

Q: Complete the table of values below. Then, sketch the graph of r = 2 - 3 cos 6 in polar ㅠ 즈 2m 3m 5л…

A: Graph Tracing and polar curve.

Q: 6. Consider the polar equation r = 2 – 2 cos(0) a) Complete the table of values for r = 2 -2 cos(0).…

A:

Q: Select the correct answer. Convert (V3) to polar form. OA (v3,30") O B. (2,60°) Oc (4,30°) OD.…

A: In this question, concept of Polar Coordinate System is applied. Polar Coordinate System The polar…

Q: Which of the following shows the correct sketch of the polar curve r = 6 sin(3 0)? 10 а) -10 10 -10…

A: To plot the polar curve r=6sin3theta

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: 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: (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: are polar coor point P, as shown below, find the maximum possible errors in calculating x and y…

A: In this, We find the maximum possible errors in calculating x and y coordinates of the same point.

Q: Given the following polar function 16

A:

Q: O Det crmine the Irngth of the following polar curve. ro -4sine

A:

Q: Which of the following graphs represents the polar equation defined by r> 2 and 57 4 37 2

A:

Q: Match each point in polar coordinates with either A, B, C, or D on the graph. D 5n 2, 元 11x 11x) 2.…

A: We have to find the polar coordinates for the points A, B, C, and D.

Q: 3) Use polar coordinate to evaluate S'S_√x² + y² dxdy.

A:

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: Which of the following polar points is equivalent to the rectangular point (-2/3, 2)? Select all…

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.