Consider the point P with polar coordinates (1, 3m/4): P = (1,37/4) From the list of point below, select all equivalent points. O (1, 7T/4) O (-1, 7TT/4) O (-1, -T/4) (-1, -9TT/4) (1, 11T/4) O (-1, TT/4)

Q: Q17:- In polar coordinates prove that** 第。

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Q: Find three additional polar representations of the point, using -2n < 0 < 2n. (Enter your answers in…

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Q: Consider the conic section given by the polar equation 4 1-sin 0 r=

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Q: Determine whether the statement " If x &gt; 0, then the point (x, y) on the rectangular coordinate…

A: Consider a point (x, y) on the rectangular coordinate system  Draw a line joining that point to the…

Q: 4. Write down the name of the conic given by the polar curve r = 15 / (3 + 2 sine). Determine the…

A: We have to draw graph of given curve.

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: Use polar coordinates to calculate e-(z²+y²) dydx. roo Express -(2²+y²) dydx in terms of dr, and…

A: We will find out all the required values.

Q: Find two pairs of polar coordinates, one with r>0 and one with r<0,

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Q: (3) Find a parametric equation for the line segment joining (1, 0, 1) and (0, –2, 1).

A: The direction vector of the segment is: (0,-2,1) - (1,0,1) = (-1, -2, 0) Initial point is (1,0,1).…

Q: 2. Find a set of parametric equations for a particle that oscillates on the line y = 6x - 5 between…

A: formula:

Q: express in polar coords with: Cりり me point whose Ty-Coords are a.r>o and OsoL2

A: Introduction: The polar coordinates r,θ of rectangular coordinates (x,y) in two-dimensional…

Q: 8. Find a parametric representation of the line through the point P(1,0,4) and perpendicular to the…

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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: Under what conditions can you find the length of a curver = ƒ(θ), a ≤ θ ≤ b, in the polar coordinate…

A: step 1 :           Conditions to find the length of the curver = f(θ) , ∝ ≤ θ ≤ B* The curve r =f(θ)…

Q: 1. Give two other polar coordinate representations of the point, one with r > 0 and the other with…

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Q: Find the analogous polar equation for horizontal lines in the xy-plane.

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Q: 16 (1+ v3) ( v3-1)" Evalute 7 by de Moivers theorem, using polar form calculations.

A: Note  your Question is wrong because in numerator imaginary part missing  so i  try to solve this…

Q: Find two other pairs of polar coordinates of the given polar coordinate, one with r>0 and one with r…

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Q: 5. Consider the point with rectangular coordinates (1, – V3 ). sState the coordinates of the point…

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Q: 2. Let r>o and Fo tina20 And use polar coordinates KZQ and use polar coordiinates (8,7) >(0,0)

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Q: Give two polar representations for the point (x, y) = (0, 1), one with negative r and one with…

A: Check the polar representation.

Q: Convert the polar equation to rectangular form and sketch its graph. r = 3 sin(0) y 3.0 y 2.5 2 2.0…

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Q: Sketch the graph of the polar equation using symmetry, zeros, maximum r-values, and any other…

A: make a table value to graph the function

Q: Q2:- find the polar coordinates for the following points. 4:- (2,2 3) 10:- (-3,3/3) 11:-(1,1)…

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Q: 2. Find the symmetric and parametric equations of the line containing the point A(1,2, 1) and x-2…

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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: When a polar function is symmetrical about both the x- and y-axes, why is it also symmetric about…

A: Given that the polar function.

Q: Convert the polar point (1,57/3) to an equivalent polar point where r < 0 and 0 <0 < 2T. O A. (1,…

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Q: 15, Зп /2) 3TT Convert the polar coordinates to rectangula rcoordinates (5, 3n/2).

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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: 2. \ Evaluate •V4-2² dydx + dydx 2x-r2 using polar coordinates.

A: We have to evaluate the integral using polar coordinates.

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 a parametric equation for the line that is perpendicular to the graph of the equation 3x + 4y +…

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Q: Find the distance between P1(1, –91°) and P2(3, 335°) on the polar plane.

A: We know that, Distance between two Cartesian coordinates is,  Distance , D=x2-x22+(y2-y1)2 We know…

Q: Transform (0, y) from rectangular into polar form (here y is any negative number).

A: We have convert rectangular coordinates (0 , y) into polar coordinates: Where y is negative number-

Q: Find polar forms for zw, z/w, and 1/z by first putting z and w into polar form. z = 4√3 -4i,  w = 8i

A: We have to find the polar form for zw, zw and 1z where z=43-4i and w=8i. First, we have to convert z…

Q: Find the polar coovdinates rectanguar coordinak es the point whose (x,y)= LI,}) are

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Q: (2. Plot the points with polar coordinates 2, and -3, 2 using the pencil. 6. 3 3n 4 5n 6. 4. 7n 6.…

A: topic - plotting of points in polar coordinate system

Q: compute the length of the polar curve. r = cos2 θ

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Q: What are the polar coordinates (r,θ) of the points of intersection of C1 curve with polar equation…

A: It is given that, It s known that at the point of intersection equation of both curves satisfies…

Q: • Make your own artwork on symmetry • 1 artwork - symmetric with respect to 0 = ", (y – axis) | 2 •…

A: The solution is given below

Q: 8. the same graph as the polar equation r-6cos0 =0 and graph on the xy plane. Find an equation in x…

A: The given polar equation is r-6cosθ=0 The equation in x and y is to be calculated and graphed in the…

Q: Express z = V3 + V3i in polar form.

A: If z=x+iy is a complex number where x and y are real numbers then its polar form is written as the…

Q: Give all possible polar coordinates for the point (4, –4/3) given in rectangular coordinates. 2n +…

A: Here, we will use  the formulas x=rcosθ and y=rsinθ.

Q: 11. Find the rectangu lar coordin ates of a point whose polar coordinates are (4, 180).

A: Here we convert the rectangular coordinates into polar coordinates.

Q: 3) Sketch the graph of the polar equation using symmetry, zeros, maximum r-values, and any other…

A: r=3 sin 3θ.

Q: Find the rectangular coordinates of the point(s) of intersection of the polar curves r= 2 sin(2 0)…

A: This question is based on conversion of polar coordinates to rectangular Cartesian coordinates.

Q: Q2:- find the polar coordinates for the fol 1:-(-2,2) 2:- (-1, /3) 3:- (2/3,2)

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