Convert the rectangular coordinates to polar coordinates with r> 0 and 0 s 0 < 2n. (-vz. -v6) (r, 0) =

Q: Convert the equation rsin 0 = ln r + ln cos 0 from polar to cartesian.

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Q: Use polar coordinates to evaluate (x² + y° )% dy dr.

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Q: Write the polar equation in rectangular form. r = 6 sin 0 Oy =-6x Oy =x- 3 O x² + (v – 3)² = 9 O (r…

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Q: Convert the polar equation r2 = -2 sin 20 to a Cartesian equation. O +y? = 2 xy O12+)² = -4 xy…

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Q: Convert the rectangular coordinates to polar coordinates with r> 0 and 0 s 0 < 2n. (1, -1) (r, 0) =

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

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Q: Integrate by changing to polar coordinates. (4 - x2 tan V 4 -1(Y) dy dx

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Q: 1 (x+y')* dy dx -J3X 2

A: Double integration of function gives the area under the function curve. Double integration can be…

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: Convert the point from rectangular coordinates into polar coordinates with r > 0 and 0 < 0 < 2. –…

A: The objective is to convert rectangular coordinates into polar coordinates.

Q: Use spherical polar coordinates to evaluate LLEN V4-x2 x² + y2 + z² dz dy dx. -V4-x2

A: Solution is given below:

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: Convert the rectangular coordinates to polar coordinates with r>0 and 0s 0 < 27T. (-võ-v2) (r, O) =…

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Q: Find polar coordinates (r, 0) of the point, where r> 0 and 0 s0

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Q: Q5 By changing to polar coordinates, evaluate "S cos (x' + y° ) dxdy .

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Q: 2) Use polar coordinate dydx (1+ x² + y° )'?

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Q: Find equivalent polar coordinates (r', 0') satisfying r' ≥ 0,0 ≤ 0¹ < 2π for the · (-1, (c) point…

A: Solution is given below:

Q: Find polar coordinates (r, 0) of the point (1, -V3), where r <0 and 0 s0 < 2m

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Q: Find two sets of polar coordinates for the point for 0 s0 < 2z. (r, 0) = (smaller r-value) (r, 0) =…

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Q: Convert the given Cartesian coordinates (x,y) to polar coordinates (r,0) with r>C

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Q: . Find a cartesian equation for the given parametric equations: a) x = t2 – 4 and y =t+1 b) x = 2…

A: Eliminating t

Q: 7) Evaluate IT !! (x + y)dxdy y by switching to polar coordinates.

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Q: Evaluate f" Na-*) /x² + y² dydx, using polar coordinate. -a

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Q: Find polar equation for the Cartesian equation 15y = 4x. %3D o a.r = 1.31 o b. theta = 1.31 O c.r =…

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Q: Convert the polar equation to a rectangular equation. r= 3 cos 0+6 sin 0 O A. 3x+6y 0 O B. x+y 6x +…

A: Recall: Convert form Polar to Rectangular:      x= r cosθ and   y= r sinθ ⇒r2=x2+y2   and  tanθ=yx

Q: xy = 1

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Q: Convert to polar coordinates with r &gt;= 0 and 0° &lt;=u &lt;= 2pi   (2,0)

A: We have the given rectangular co-ordinates as x,y=2,0 We can calculate the Cartesian coordinates x,y…

Q: l+vI+r² xy dydx -z 1-VT-

A: ∫01∫1-1-x21+1+x2xydydxTo transform to polar coordinates and calculate

Q: Convert to Polar coordinates. (r 20 & 0 < 0 < 2n) (x, y) = ( -1, v3 )

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Q: Convert the Cartesian equation to a Polar equation. Express your answer as r = 2y –x² = 2y– 3x

A: The objective is to convert cartesian equation to polar equation.

Q: Convert the polar equation r- 3 cosa 5 sin A in Cartesian equation form. )x² + y² - 3x = 5y 1- 3x =…

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Q: x = 4 cos t and y = 4 sin t 0sts 4

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Q: Convert the polar equation to a rectangular equation. r= 6 cos e + 5 sin 0 О х2 - у2 - 6х + 5y O x²…

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Q: onvert the Cartesian coordinate (4,3) to polar coordinates, 0 < 0< 2n

A: We have to convert the cartesian coordinates (4, 3) into polar coordinates, 0≤θ≤2π.

Q: Converting 4-y2 4-y2 2² +y? f(x, Y, z)dV into polar coordinates gives

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Q: Find polar equation for the Cartesian equation 19y = 4x. %3D O a.r = 1.36 b. theta = 0.21 O c.r =…

A: Let's find.

Q: 5. Evaluate ffR dA, where R= {(r, y)|1<r² + y² < 9, z20, y 2 0} (Hint: Use polar coordinates.)

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Q: 3T Plot the points with polar coordinates 3, and (2, 2n) using the pencil. 4

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Q: Evaluate /1-(y-1)² by first changing it to polar coordinates. 219 dx dy

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Q: The Cartesian equation of the polar curve r = 6 sin 0 is (x – 6)² + y? = 36 - (x – 3)² + y² = 9 O a?…

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Q: Find the polar coordinates of the point with r> 0 and 0 < 0 < 2n. (r, 0) = 2 2 3 4

A: From the Figure it is clear that the value of r is 4 because it lies on the fourth circle.

Q: 2 Evaluate V4-x? Jo J2- dy dx using polar V 2x-x2 Coordinates.

A: Solution:-

Q: .Find the rectangular equation of the polar curve defined by r = sin 20. A. x+y-2xy= 0 B. (x² + y² }…

A: The polar coordinate system is a coordinate system  in which each coordinate point will be of the…

Q: Convert the polar coordinates (T, 7) to Cartesian coordinates. O ( T, TL) O(- T, 0) O (0, - T1)

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Q: Change the spherical equation below into cylindrical coordinates! tan2(Φ) = 1

A: Any point in the cylindrical coordinate system is represented as r,θ,z . Any point in the spherical…