1. Plot the point with polar coordinates are given. Then find two other pairs of point, one with r > 0 and one with r<0. a) (1,) TC b) (-2,) c) (3,2) 4.

Q: The Cartesian equation of the polar curve r = 2sin0 + 2cos0 is Select one: O x² + y? = 2 O x + y = 4…

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Q: 14. Polar coordinates. a. Write (x, y) = (-2,2) in polar form (r, 0).

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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: 1. For the line through the points A(-3, 8, -4) and B(1, 0, 8) a. Find the parametric equations for…

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Q: 3. Given the point (x, y)=(-40/3,40). Convert this point to polar coordinates, (r.), with r>0 and 0…

A: given  (x,y)=(-403,40)in polar coordinates    x2+y2=r2and     tan(θ)=yx

Q: . Let the parametric equations of the plane curve C be x = 2 cos t, y = 4 sin t, 0<t < 2n ). Find…

A: The parametric equations can be converted into cartesian equation by removing t. This can be done by…

Q: 5. Find two sets of polar coordinates for the Cartesian point (-7, 7/3) such that 0<0<2T.

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Q: 7. Use polar coordinates to evaluate: fe(x²-y²) dydx

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Q: Sketch the curve with the given polar equation. r = 1+2 cos 0 7/2 Зп /4 T/4 2 4 57/4 77/4

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Q: Plot the points with polar coordinates 4, 5T 3T 4 27 3 RIM RAT 70 4 5π TO 2) ( 37) 25 and -5, TO 6 X…

A: The polar coordinate 4,-π6 and -5,5π3

Q: 1.5 -1 X X 3 1.0 0.8 0.6 0.4 0.2 1 2 3 X

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Q: 3. Let (x, y) denote the usual rectangular coordinates. Write the following function f(x, y) in…

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Q: 3. Express the equation y = mx + b, where m and b are constants, in plane polar coordinate.

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Write a polar equation of the form r cos(0 – 0,) = ro for the line 3 x- y = 2.

A: Given: To find the polar equation of the form r cosθ-θ0 =r0 for the line 3x-y = 2.

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

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Q: Find the parametric equation. For.:. a the line passes through (1,2₁ +), (-1₁0, +/...

A: Note that : Since you have posted multiple questions, we will provide the solution only to the first…

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: 2 - y = 2 #8) A) Change equation x 4 to polar coordinates.

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Q: 24) Consider line L of parametric equations x =t, y = 2t, z = 3, t E R. a. Find parametric equations…

A: The given line is: x=t, y=2t, z=3 and t∈R Now, consider the angle θ between two intersecting plane,…

Q: SHOW ALL WORK Change the polar coordinates, (r, 8) to rectangular coordinates, (x, y). (Leave…

A: Given the query is to find the rectangular coordinates.

Q: 6. Convert: a) Coordinates of point D(-1,-5) to polar coordinates, r> 0 and 0 <0<2n.

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Q: Match each plot with the corresponding parametric equations. У c(t) = (2 – t, t2 - 9) - t3) c(t) =…

A: The given graph is a line.  So the relation between x and y ordinates must be linear.

Q: 4. Find the equation of the circle (in polar) with center on the line a = and passing through the…

A: The general equation of a circle with centre at r∘, θ∘ and radius, a is given by r cos θ-r∘ cos…

Q: 12. SHOW ALL WORK For the given point (6/3, 6) in rectangular coordinates, find equivalent polar…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Find the distance between the skew lines with the given parametric equations. x = 2 + t, y = 3 + 6t,…

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