45-50 - Rectangular Equations to Polar Equations Convert the equation to polar form. 45. x= y 46. x² + y? = 9 47. y = x? 48. y = 5 49. x = 4 50. x? - y? = 1

Q: Q-3 a-Change the polar equation 5r =sin(0) to Cartesian equation (an equation that only contains x…

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Q: 4- The equivalent of Cartesian equation (x + = 1) in polar equationis:

A: Given: Cartesian equation:   To determine: equivalent polar equation.

Q: Convert the Cartesian equation to a polar equation that expresses r in terms of 0. x + (y + 5)? = 25…

A: The equation in rectangular coordinates is given by x2+y+52 = 25 To evaluate : The polar equation…

Q: 2. In both parts, full marks will only be obtained if exact answers are given in terms of . √2 etc.…

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Q: 24/ Replace the polar equation r. sin (0 +") = 2 to Cartesian equation -(G+ ns./ = 2

A: The given polar equation is r·sinθ+π6=2 .................(1)

Q: Convert to polar coordinates with r≥0 and 0 between 0 ° and 360 ° . Provide Detailed steps of your…

A: Given,         -41,-43We know that,          To convert the cartesian x,y to polar coordinates r,θ…

Q: A curve with polar equation r=48/6sinθ+25cosθ represents a line. This line has a Cartesian equation…

A: Given that, the polar equation is r=486sinθ+25cosθ. Convert the polar equation as Cartesian equation…

Q: Convert the Cartesian equation to a polar equation that expresses r in terms of 0. (x-6) +y? = 36…

A: The given cartesian equation is: x-62+y2=36 The cartesian coordinates in terms of polar coordinates…

Q: 3) Write the polar equations of a) The negative X axis b) The line Y = X

A: Rectangle form to polar form Let (x,y) be a point in rectangular form then x=rcosθ and y=rsinθ…

Q: Previous Question The letters r and 0 represent polar cool equation using rectangular coordinates…

A: Given, r=12/(1-cosθ) rectangular coordinates (x,y)= ?

Q: 3. Find a polar coordinates for the point that is described in Cartesian coordinates as (x,y) = (2,…

A: We can solve the given problem using the concept of polar coordinate of given problem.

Q: Match the polar equations with the correct polar curve. (i) r = 2 cos (0), 0 <o <T/2. --- (ii) ----…

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Q: 7. Test the polar equation r = for symmetry with respect to the polar axis, the pole, 1+3 cos 0 and…

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Q: 1. Consider the rectangular (Cartesian) equation (x + 3)² + y² *6 = a. Describe the graph of this…

A: according to our guideline we are supposed to do only the first three sub parts of the question if…

Q: Convert the rectangular equation to a polar equation that expresses r in terms of 0. x² + (y + 2)? =…

A: Given,  The rectangular equation  x2+y+22 = 4  We have to  convert it in polar equation in terms of…

Q: 13 Convert x 2 + y 2 - 2x = 0 to a polar equation. r = 2cosθ r² = 2cosθ r = 2sinθ

A: We have to find the polar equation

Q: H.W 1-Replace the polar equations with equivalent Cartesian equations. 4]. p? = -sin 0

A: We have to replace the given polar equation with equivalent cartesian equation. r2=-sinθ

Q: A polar equation is given. r = 20/12, os 0 < 41 (a) Express the polar equation in parametric form.…

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Q: r cos 0 = -3 2n 5Tt 2 3 Check for symmetry line 0 = = pole polar axis

A: rcosθ=-3 Now when θ=0, rcos0=-3⇒r1=-3⇒r=-3 When θ=π6, rcosπ6=-3⇒r32=-3⇒r=-23 When θ=π3,…

Q: Convert x2 -4x+y2=0 into a polar equation.

A: Convert x2 -4x+y2=0 into a polar equation

Q: Q5: Replace the Cartesian equations with equivalent polar equations. 1- (x - 5 )2 + y? = 25 2- (x +2…

A: we have to convert Rectangular into polar equation

Q: Replace the Cartesian equation (x- 1) + (y + 2) = 16 with an equivalent polar equation. The…

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Q: r = 1+2 cos 0 r Check for symmetry polar axis line 0 = " 2 pole 一3

A: Calculate the value for r at different theta and complete the table.…

Q: Match the polar equation with the graphs labeled I-VI. Use the table to help you. r = 2 + 2 sin(0)…

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Q: 2. Transform the polar equation into a Cartesian equation. 4 r = 4 + sin 0

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Q: Replace the Cartesian equation with an equivalent polar equation. x² y² 4 + = 1 49 The equivalent…

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Q: Now calculate the second part of the polar coordinate. What is the distance from the origin to…

A: consider the given points, 0,0 and 5,-5 draw the points on the coordinates axis as follows, the…

Q: 46. Match the polar equations with the graphs labeled I-VI. Give reasons for your choices. (Don't…

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Q: Find a polar equation for the curve represented by the given Cartesian equation. x^2 + y^2 = 6x −…

A: Given equation is : x2 +y2 = 6x -4y Concept : To convert an equation in polar form, we substitue x =…

Q: 12 A curve with polar equation r = 4 sin 0 + 33 cos 0 represents a line. This line has a Cartesian…

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Q: (b) (4, 4/3) (i) Find polar coordinates (r, 0) of the point, where r > 0 and 0 < 0 < 2n. (r, 0) = 8,…

A: Given cartesian form is : 4,43 Therefore, x=4 and y=43

Q: 50 A curve with polar equation r 5 sin 0 + 21 cos e represents a line. This line has a Cartesian…

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Q: re: Transform the Cartesian equation into a polar equation. Isolate r in your final equation. 3x –…

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

Q: A curve with polar equation r=39/9sin(x)+64cos(x) represents a line. This line has a Cartesian…

A: Equation of the line in polar coordinates  is given byr=399sinθ+64cosθ  ...(1)as we know that…

Q: 27 determine three different sets of coordinates for the same point all of which h 3 2. For the…

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Q: 33 A curve with polar equation r 9 sin 0 + 55 cos 0 mx + b,where m and b are represents a line. This…

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Q: A curve with polar equation r = 20 4 sin 0+ 17 cos 0 represents a line. This line has a Cartesian…

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Q: Replace the Cartesian equation x² +y? = 81 with an equivalent polar equation An equivalent polar…

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Q: 10. LARPCALC10 10.7.011. MY NOTES ASK YOUR TEACHER Plot the point given in polar coordinates. (-7,)…

A: Consider the given point as -7, 2π3

Q: 4cscθ

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Q: 23 A curve with polar equation r = 4 sin 0+ 13 cos 0 represents a line. This line has a Cartesian…

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Q: Q2. a. Replace the given polar equation by equivalent Cartesian equation = 1. r2 + 2r2 cos 0 sin 0 =…

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Q: Replace the Cartesian equation with an equivalent polar equation. 2 =D1 25 + 4 The equivalent polar…

A: The given cartesian equation is: x24+y225=1

Q: polar equation for the curve represented by the given cartesian equation  x2 =7y

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Q: Express the Cartesian coordinates (4,4/3) in polar coordinates in at least two different ways. Write…

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Q: Replace the Cartesian equation with an equivalent polar equation. y? 2 4 25 The equivalent polar…

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Q: .The Cartesian form of the polar equation r =2 cosec O is? a. y = 2 b. x = 2 c. x = 4

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Q: True or False: When you test a polar equation for symmetry and you find out that it is symmetric…

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Q: (4, 4/3) (i) Find polar coordinates (r, 0) of the point, where r> 0 and 0 s0 < 2n. (r, 0) = (ii)…

A: We have to find the polar form

Q: 23 A curve with polar equation r : 4 sin 0 + 13 cos 0 represents a line. This line has a Cartesian…

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