1. Consider the point in the plane whose Cartesian coordinates are (x, y) = (-10, 24). 1.1. Find polar coordinates for this point (r, 0) where r> 0 and 0 is in radians and between 0 and 2 t. 1.2. Find polar coordinates for this point (r, 0) where r< 0 and 0 is in radians and between 0 and 2 T.

Q: Plot the point and give three other polar coordinates to describe: (1, -)

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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: Transform the polar equation T into rectangular coordinates 5 3 sin 0-4 cos

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Q: 4. Integrate L e-° dxdy by converting to polar coordinates, and ase that result to integrate J e dx.

A: This problem is convert to pollar form and then solve so,......

Q: 3. Find two different sets of polar coordinates (r. 8) for the point with Cartesian coordinates (x,…

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Q: True or False In the polar coordinates (r, θ), r can be negative.

A: Consider the following statement: " In Polar coordinates r,θ , r can be negative"  Determine the…

Q: 4. Consider the point in the plane given by polar coordinates (r,0) = 3 - (2. 증). (a) Express this…

A: Definition used -           A point r,θ in polar coordinate can be written in an…

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

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Q: First part of the question is that convert the following Cartesian coordinates to the corresponding…

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Q: Find two other pair of polar coordinates one with r>0 and r<0 for  (6,π/4) (-5,3π/2) (3,-π/3)

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Q: Convert to polar coordinates where r>0 and 0 <0 < 2n . (0, 3) OLATEX:…

A: The given coordinate point is (0,3)

Q: (ь) (-6, 1/2) (r, 8) (r> 0) (r. 8) = (r< 0) y 2.0- -1.0 -0.5 0.5 1.0 1.5 1.0 -8 0.5- -10 -12- o-1.0…

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Q: Find a parametric equation for the line through the point (6,5, - 3) and perpendicular to the plane…

A: Given plane is, 7x+4y+4z=15 Since, the line is perpendicular to the plane then the normal vector…

Q: 1. (a) For the point (r, 0) = (3, T/2), find its rectangular coordinates. (b) For a point (x, y) =…

A: Relation between polar coordinates (r, θ) and rectangular coordinates (x, y) is given by, ⇒xr=cos θ,…

Q: 1: (√²,-) 11:(-√√2,²) 111: (-√√2,³7) IV: (√²,5) v: (√²,²7) II: B) I, III, V C) II, IV, V E) I, IV, V…

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Q: With polar coordinates (3, -1), find (r, θ) for r>0 and r

A: The point in Cartesian co-ordinate is given by .

Q: Sketch with directio

A: Given:  Three polar coordinates. We have to sketch the graph with their directions.

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: 5. (i) Find the polar coordinate of the point P(x, y) = (1, v3).Plot the graph (ii) Find the…

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Q: For the parametric curve x = t^2 + 2t + 1, y = 6t + 1, find the Cartesian equation(s) for all…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: y2 f(x, y)dx dy Let f(x, y) = e-x2-y² and

A: answer is in next step