Convert the Cartesian coordinates below to polar coordinates. Give an angle in the range 0 < 0 ≤ 2π, and take r > 0. (- A. If (x, y) = B. If (x, y) = = 5 5√3 2² 2 √3 2 9 11/1) 2 , then (r, 0) = ( then (r, 0) = ( )

Q: Find the angle (in radians) between the line with equation T(t) = +t and the line with equation…

A: The given two lines are  r→(t)=&lt;-2, - 5, - 8&gt; +t &lt;2, - 8, 8&gt; r→(t)= &lt;1, 3, - 4&gt; +…

Q: Sketch v. O magnitude ||v|| = 5 X angle 8 = 0º 45 no 2 Do -4 -2 2 @

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Q: In (1- 2t cosx + t2)dx 0, |

A: The definite integral is when we put limits in the indefinite integral. It is expressed as ∫abfxdx.…

Q: Letf(2)=z²5z +92. Use polar coordinates to find ƒ(−1+1). of (1 + i√3).

A: (b) .

Q: Q3: Convert (a )from polar to rectangular form and (b)from rectangular to polar form: a. 82 20…

A: 3.a. Given Polar form is, 8&lt;20° we have, 8&lt;20°=8cos(20°)+8isin(20°)=7.5175+2.7361i=7.52+2.74i…

Q: d) x=√3₁ It is given that sin x=- where x= [0,2], which quadrant(s) is x in?

A: We can answer both the question in the following steps.

Q: Determine the angle of rotation necessary to transform the equation in x and y into an equation in X…

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Q: 2) For lim (5x)4*, do not evaluate! x→0+ a) Which indeterminant form is the expression? b) Set up…

A: a) The given limit expression  =limx→0+5x4x=00 form

Q: Find a rectangular form of the equation. r = tan 0 ? +y? = .2 %3D

A: Please refer the attached image for complete Solution.

Q: २. Use intergral. polar coordinates to evaluate the √4-y² So° = (2-x²-y²) dody. S

A: Using polar co-ordinate we have to evaluate

Q: Find cos(θ), sin(θ), and tan(θ) for the two angles θ =13π/4, −7π/3

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Q: Let (x, y) be the coordinates of a point on a circle of radius 5 centered at the origin that…

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Q: Find dx2 cos 4y + 5x = 5y

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Q: Find the angle between the planes 6x + 7y= - 4 and 8x + 3y + 3z = - 17. The radian measure of the…

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