(4) a) Verify that the polar coordinates satisfy the equation r = 4 sin360. b) Sketch a graph of the polar equation r= 4sin 30 , locate the point in a), and approximate on your sketch the location of any vertical tangent lines.

Q: The rectangle coordinates for the polar point (4,3.14/2)is

A: Given polar point is (4,π2) this is (r,θ)We know that x=rcosθ and y=rsinθSo, x=4*cos(π2)…

Q: Convert each of the given pair of rectangular coordinates to a pair of polar coordinates (r, theta)…

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Q: 3- Convert the polar to Cartesian coordinates 47. a. (2,3) c. (-7, 45°) d. (5, 150°) b. (4, п)

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Q: Write in polar form: 8· (cos(155°) + i sin(155°)) 3. (cos(190°) + i sin(190°)) · (cos( ') + i sin(

A: Given, 8·cos155°+isin155°3·cos190°+isin190°

Q: Q2\ Replace the following polar equation by equivalent Cartesian equation and identify their graphs…

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Q: What is a polar equation?

A: Polar equation is an equation that gives the relationship between r and θ, where r is the distance…

Q: Find the polar equation of 3x2=4-3y2

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Q: Give two pairs of polar coordinates for the point (-2,-2\sqrt(3)) , where 0\deg <=\theta <=360\deg .

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Q: Consider the polar curve given by the equation r(0) = 1 - sin(30). It is an example of what is…

A: Graph:

Q: Consider the polar equation r = 9 +4 cos whose graph is shown below. (a) What is the distance…

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Q: Convert the rectangular equation x² - xy + y² = 3 to the polar coordinates 3 2-sin 0 Or= o po² = =…

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Q: Find the area and circumference of the circle represented by the polar equation r = 6 cos 0 using…

A: The given problem is to find the area of circle and circumference of the circle for the given circle…

Q: Use a graphing utility to graph the polar equation r = 3/sin θ

A: Given the polar equation: r=3sinθ

Q: Convert the polar coordinates (-8, 2π/3) into rectangular coordinates. Convert the rectangular…

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Q: a) Write the equations that you would solve to find the points where the the tangent on the polar…

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Q: plot the given polar points (r,theta) and find their rectangular representation  (5, - pi/2)

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Q: 2) Sketch the graph of the curve with the polar equation: r= 2– sin(20).

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