Test the following polar equation for symmetry with respect to the polar axis, the pole, and the line 0 = T/2. r = 4+ 8 cos 0 ||

Q: . Which of the following is the equation of the tangent at the point 0 = 3 line to the polar curver…

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Q: Which of the following Polar equation represents the following Curve -2 1. (a)r = 1- sine (b) r = 2+…

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Q: What is the slope of the line tangent to the polar curve r = ㅠ Ө - ? O 1 √√3 ✓ 2 T -||♡33 √√3 cos at…

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Q: (b) Use appropriate software to sketch the following polar curves i) r = cos(7.10) + cos² (0) ii) =…

A: A polar coordinate system contains a reference point and a reference direction. The reference point…

Q: Which of the following shows the correct sketch of the polar curve r= 10 sin(3 0)? 10 5 -10 -5 5 10…

A: We solve it by following method.

Q: - A tangent at the pole to the polar curve = V2 – 2 cos0 is 0 = r = A 3

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Q: Find the points at which the polar curve, r = 4 cos θ , has horizontal and vertical tangent lines.

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Q: 10.4

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Q: What is the length of the polar curve below? = 2 cos(0) for 0 sos 4

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Q: Sketch the curve with the given polar equation. r = 1+2 cos 0 7/2 Зп /4 T/4 2 4 57/4 77/4

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Q: Which of the following polar curves is a cardioid? * r = cos? r = 2 + 3 sin 0 O Option 1 Option 2…

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Q: Find the exact length of the polar curve. = 02, 0<0 s T/2

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Q: 7. Test the polar equation r = for symmetry with respect to the polar axis, the pole, 1+3 cos 0 and…

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Q: Find the exact length of the polar curve. 4 sin(0), o 0S T/3

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Q: e = 2 / 3; directrix is parallel to the polar axis, 3 units above thepole.

A: Given e = 23 &lt; 1  Hence the given conic is ellipse.

Q: Assume 0 <0< T. The number of points where the two polar curves r = cos (0) and r = sin(0) intersect…

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Q: The equation of the polar curve above is E. r = 3 + 2 sin 0 F. r = 3 - 2 sin 0 G. r = 3+ 2 cos 0 H.…

A: From the direction of the cardioid, extending horizontally, that you…

Q: 37. The Cartesian equation of the polar curve 2 = 2a' sin 20 is A. 1? + y? = 4a²xy B. (z* + 3° )° =…

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Q: Plot the following curves in polar coordinates. 4. r r = sin() 5. r= 1 + cos 50 6. r² - sin 0

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Q: 2. Identify the coordinates of the point in polar form based upon the given conditions. Use pi for…

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Q: Find the exact length of the polar curve. r = e20, o < 0 < 2n

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Q: Part A, B, and C

A: According to the given information it is required to sketch the graph of the given polar equation.…

Q: Q2 Find the points of intersection of the polar curves r=1+cos 9 and r= -cos

A: Point of intersection of the Polar curve

Q: For the length of the polar curve: r = 2cos(theta) ; 0 < theta < (3pi/2)

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Q: Find the length of the curve over the given interval. Polar Equation Interval r= 2a cos e 4 4

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Q: Find the length of the polar curve r = 7 sin e, 0 < 0s 2A . O A. 14 % O B. 21 1 С. 35я O D. None of…

A: Use the formula for the length of polar curve and substitute the given values.

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

A: We need to sketch the curve with the given polar equation by first sketching the graph of r as a…

Q: Convert the following equation to polar coordinates. x= 3y? The polar form of x = 3y2 is (Type an…

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Q: 1. Sketch the graph of r = 2 sin(20) in polar coordinate system T/4 31/4 5T/4 7T/4 in the polar…

A: Consider the provided polar equation, Sketch the graph of the polar equation. Now make the graph of…

Q: Find an equation in x and y that has the same graph as the polar equation r-sin e =0 and graph on…

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Q: Q2: Sketch the polar function r 3 6 cos 30 ,-n<0 < m

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Q: 6. Consider the polar equation r = 2 – 2 cos(0) a) Complete the table of values for r = 2 -2 cos(0).…

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Q: Which of the following shows the correct sketch of the polar curve r = 9 sin(3 0)? 10 -10 5 10 -5…

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Q: 4. Find a polar equation for the curve represented by the Cartesian equation y = 3x. T = r cos 0, y…

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Q: Which of the following shows the correct sketch of the polar curve r = 6 sin(3 0)? 10 а) -10 10 -10…

A: To plot the polar curve r=6sin3theta

Q: 7. The polar equation of the curve r2 + y² = 2x is A T= 2 cos 0 T= sin 20 T= 2 sin 0 B D T= cos e

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Q: Which of the following Polar equation represents the following Curve -2 1 2 (a)r = 1 – sin® (b) r =…

A: A detailed solution is given below.

Q: Test the following polar equation for symmetry with respect to the polar axis, the pole, and the…

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Q: What is the polar form of the equation? (x + 2)² + y² = 4 O r(r+4sin 0) = 0 O p2 = 4r cos O O r(r+4…

A: We transform the equation by putting the formula.

Q: 2. Consider the polar curve r = 0² + cos(0) where 0 < 0 < 5. Which of the following values of 0…

A: note : in polar coordinate r=k , where k is a constant , represents a circle of radius k centered at…

Q: Find the length of the polar curve: r=7 cos 0 , 0L05 3 TT 4

A: The length of the polar curve over the interval [a, b] is : The given curve is: So, the limit…

Q: Find the length of the curve over the given interval. Polar Equation Interval r = 8a cos 0 16 16.

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Q: Which of the following shows the correct sketch of the polar curve r= -5 cos(0)? 61

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Q: Find the length of the curve r= /1+ cos 20, 0<0<n/2/6. The length of the polar curve is.

A: We know the arc length formula for polar coordinates is L=∫θ1θ2r2+drdθ2dθ. Here, r=1+cos(2θ),…

Q: 2.Make a sketch of the following polar equation: r = 2 +4 sin 0 (r, 0). Determine also the tangent…

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Q: Plot the following curves in polar coordinates. 1-31 7. r = 3 + 2 cos 0 8. r = √6 9. r 9 sin 0

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Q: Q2. Discuss the symmetry and plot the polar equation r 2-3 sin 0.

A: Given- r=2-3sinθ To find- The symmetry and plot the above polar equation.

Q: Find the length of the polar curve r = 5°; 0 <e< 2n

A: Given ,r=5θdifferentiate w.r.t.θdrdθ=5θ.ln(5)Weknow that length of the curve…

Q: Which of the following shows the correct sketch of the polar curve r= 4 cos(3 0) for 0 <0<- 10 5 a)…

A: Given:            Polar curve   r=4cos3θ ,  0≤θ≤π2      Using the formula  r=asinnθ or r=acosnθ…