Sketch the curve r-4 sin 30 with the given polar equation by: first sketching the graph of as a function of in Cartesion coordinates than In Polar Coordinates also test the symmetry

Q: Sketch the curve with the given polar equation.

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Q: 7. (-1,–x/6) 8. x2 - y? = 4

A: Given :7. ( -1, -π/6 )8. x2-y2=4

Q: The curve whose equation in polar coordinates is given by r -4 sin(@) is a circle with its center…

A: I am going to solve the given problem first by converting in to the cartesian form and then…

Q: r = 4 sin 0 – 2 cos e by finding a Cartesian equation of the curve. Find a polar equation for the…

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Q: Consider the polar equation r = 4 cos 20. (a) Sketch the graph of the polar equation. Please show…

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Q: 2. The curve with polar equation 24 3 cos 0 + 4 sin 0 = is a line. Find the slope and the…

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Q: 7. Given the polar curve r? = cos 20, Find the points where the tangent lines are horizontal and…

A: The given question can be solved as shown in step2.

Q: Find Cartesian equations for the circles. Sketcheach circle in the coordinate plane and label it…

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Q: 3. Sketch the polar curve r = 2 sin 30 by first sketching the graph of r as a function of e in…

A: Given the polar curve, r=2 sin3θ                ...(1)

Q: In polar coordinates, a polar function exists by the name of strophoid, with equation r = sec 0 – 2…

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Q: • Question 1. Given the point R (1,4) outside the circle L = x2 + y2 -2y = 1 x² + y2 - 2y - 1 = 0…

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Q: 7. Given the polar curve r2 = cos 20, Find the points where the tangent lines are horizontal and…

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Q: Find the lengths of the curves given by the polar coordinate equations r = -1 + cos θ

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Q: 29-46 Sketch the curve with the given polar equation by first sketching the graph of r as a function…

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Q: A. Sketch the polar curve using the graphing calculator. B. Find the interval of the parameter for…

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Q: Find a polar equation for the curve represented by the Cartesian equation: x² = 8y. Or= 8 sin cos 0…

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Q: Sketch the curve with the given polar equation by first sketching the graph of r as a function of e…

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Q: Sketch the graph of the polar equation using symmetry, zeros, maximum r-values, and any other…

A: make a table values to graph the function

Q: A polar equation is given. 2 - cos(0) (a) Express the polar equation in parametric form. (x(t),…

A: To convert Polar coordinates to cartesian coordinates, x=rcosθ     and y=rsinθ

Q: Sketch the curve with the given polar equation, and find its Cartesian equation. 1 1-cos e

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Q: Convert the polar equation 4r cos θ + r sin θ = 8 into a rectangular equation that expresses y in…

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Q: Find Cartesian equations for the circles. Sketcheach circle in the coordinate plane and label it…

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Q: Consider the curves: r = 4sin 0 and r = 2 sin(0) + 2cos (8). a) Sketch a graph of both curves on the…

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Q: Consider the polar curve r = 0 + sin(0). Rewrite the polar curve as a parametric curve, i.e., find…

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Q: A curve is described by the equation in polar coordinates r = 4 cos² 0. Determine r(0) and dr 57…

A: To find the first solution, just use the trigonometrical identities and easily find the required…

Q: Consider the polar curve r = sin(30). Sketch the polar curve on the inter 0< 0 < 27/3.

A: Solution: Given data, r = sin(3theta)

Q: Find a polar equation for the curve represented by the given Cartesian equation.

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Q: 4. Sketch the curve with the polar equation r=3-4cos(theta). Show your work by creating a table of…

A: We will make a table first θ (r,θ) 0 (-1,0) 45 (0.17,45) 90 (3,90) 135 (5.83,135) 180…

Q: 5 cos 0 and use this Cartesian equation to 5. Find a Cartesian equation for the polar curve r =…

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Q: Consider the polar equation r- 3+8 sin(8), whose graph is shown below. 10 8 2 -6 -4 4 6 Notice that…

A: The given polar equation is  r=3+8sinθ. We have to find four angles θ where the tangents are…

Q: Sketch the curve with the given polar equation by first sketching the graph of r as a function of 0…

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Q: 10. (a) Given the polar equation r = -4 cos 6. Write the polar equation as a Cartesian equation. (b)…

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Q: Carefully sketch the curve for the given polar equation (make sure to include a chart of some values…

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

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Q: Consider the polar curve r = sin 0. a. Find an equation for the tangent line to the curve at 0 = 3…

A: given polar curve is                                       r=sinθ we know that…

Q: Determine the points at which the limacon defined by the polar equation 1= 3+2 sin e Has horizontal…

A: Consider the given polar equation, r=3+2sinθ differentiate the equation with respect to θ,…

Q: Sketch the curve with the given polar equation by first sketching the graph of r as a function of 0…

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Q: Determine the points at which the limacon defined by the polar equation r= 3 + 2 sin(theta) has…

A: We need to find tangent and sketch.

Q: A. Manually Sketch the curve with the given polar equation by first sketching the graph of as a…

A: Given:         r=cos5θ

Q: Sketch a graph of the polar equation r = 4 cos 30 and find the tangents at the pole. 6. Sketch the…

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Q: Sketch the graph of the polar equation using symmetry, zeros, maximum r-values, and any other…

A: We have to sketch the graph of the polar equation using symmetry, zeros, maximum r- values, and any…

Q: Find an equation relating x and y to describe the points on the xy plane that satisfy the polar…

A: Here we have to convert polar equation in to Cartesian equation. For that we use the relationship…

Q: r2%3D16 sin 20

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Q: Sketch the curve with the given polar equation, and find its Cartesian equation. 2 =-4 sin 20 %3D y

A: We are given the polar equation . Let us plot the figure.

Q: A curve in polar coordinates is given by: r = 12 + 5 cos 0. Point Pis at 0 = 297 24 (1) Find polar…

A: Given polar curve r=12+5cos(θ)θ=29π24 (a) To find out polar coordinate r for the given P,  Plug in…

Q: A. Manually Sketch the curve with the given polar equation by first sketching the graph of as a…

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Q: 5) Identify the curve a Cartesian equation for the curve given in polar coordinates by r = 4sin 6 by…

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Q: Determine the points at which the limacon defined by the polar equation r= 3 +2 sin e Has horizontal…

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