9. Consider the point 4, in polar coordinates. 3 9a This point is 4 units away from the pole on a polar grid. 9b What is the size of the angle that the point makes with the polar axis? Give your answer in radians. Enter your next step here radians +- ** ) a :

Q: What type of polar curve does the equation r^2 = 4 cos 2@ represent ?

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Q: Draw phe Polar curve defind by r=4+2 Cos 36

A: Given:

Q: 7. (-1,–x/6) 8. x2 - y? = 4

A: Given :7. ( -1, -π/6 )8. x2-y2=4

Q: Find the slope of the line tangent to the polar curve at the given point. 9 11t r= 9 sin 0; 2' 6

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Q: 3. Draw the polar curve r = 3 +sin 30

A: Solution: The objective is to graph the polar curve r=3+sin(3θ)

Q: B] Convert the following equation from polar to Cartesian coordinates: p² = 5 tan(8) - sec(6)

A: We have to solve given problem:

Q: What is the radius of the circle for the polar equation r = 15 cos 0? Enter a numerical value only,…

A: Converting from polar coordinates to Cartesian coordinates.

Q: Find the slope of the polar curve at the indicated point. TT 7) r = 5 cos 30, 0 =

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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: For each point (x,y), give two sets of polar coordinates, where 0<=theta<=2pi problem : (3√3,-3)

A: Polar coordinates.

Q: 3. Graph the polar equation and find the area of the region. Outside r = 1 but inside r = 2 sin 20

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Q: Find the circumference of a circle described by the parametric equations = 7 cos 0 and y = 7sin 0…

A: The formula L=∫dxdθ2+dydθ2dθ is formula for length of arc in polar coordinates. As we go along the…

Q: 9/2 9/2 Convert the point with Cartesian coordinates to polar coordinates. Enter 2 2 exact values…

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Q: 16) Convert –15 + 8j to polar form. Round 0 to 1 decimal point. 17) Convert 640° to rectangular…

A: z=-15+8jpolar form of z :z=rcosθ+isinθ     r=x2+y2tanθ=yxz=-15+8j      -15,8    2nd quadrant…

Q: 1 By first changing to polar coordinates, evaluate 1+ x + y dA, where R is the quarter-disk region…

A: Given integral is ∫1+x2+y2dA over the region R where R is quarter disk region shaded above. Use the…

Q: Find a Cartesian equation from the polar curve 4r sin 0 = 18(rcos 0) +14 1S is

A: Given polar equation is 4rsinθ=18rcosθ2+14  .....1

Q: Find an approximate polar equation for the ellipticalorbit of the earth around the sun (at one…

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Q: 1. Convert (V3,-3) from rectangular to polar coordinates with r>0 and 0<0< 2r. Give exact values for…

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Q: 6. O Convert the quation aty z+y froui cartesian to polar (10 P.) (u) Convert the equation r - 2 sme…

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Q: Find the exact length of the polar curve. r = 6 sin ?,    0 ≤ ? ≤ ?/3

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Q: 4) Use the conversion formulas æ = r cos 0, y = r sin 0 or r2 = x² + y², tan 0 = to convert the…

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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: Q1) A) Replace the polar equation r? sin 20 = 2 by equivalent Cartesian equation. B; C) Find the…

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Q: Find the length of the curve over the given interval. polar equation : r = 8a cos θ interval…

A: Given

Q: 13n Match the point in polar coordinates 4, to the points A, B, C, or D. 4 04 4, . OB 4, 4 oc(4.-) C…

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Q: Determine the points at which the limacon defined by the polar equation r = 3+ 2 sin 0 has…

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Q: H.W 1-Replace the polar equations with equivalent Cartesian equations. 4]. p? = -sin 0

A: We have to replace the given polar equation with equivalent cartesian equation. r2=-sinθ

Q: 11n Plot the points with polar coordinates 3, TT and using the pencil. 4 5n TE 6. 2 4 11n 6 6 5n 4.…

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Q: 2. Use polar coordinates to evaluate √9-1² 2 L √4+x² + y² dy dx.

A: This is a problem related to integral of polar curves. Based on the substitution in cartesian…

Q: 9. Sketch the polar curves r = 5sine and r = 5 sin(30) on the same grid below.

A: The given polar curves are  r=5sin(θ)r=5sin(3θ)

Q: 5/3 Convert the point with Cartesian coordinates 2 to polar coordinates. Enter exact values for r…

A: Convert the point with Cartesian coordinates 52,-532 to polar coordinates.Enter exact values for r…

Q: Without using a calculator, for the following, determine whether the graph of the polar equation is…

A: Given that    r = 2 secθ            we know that    x(θ) =  r cosθ      and      y(θ) = r sinθ…

Q: 01: If x²+y-2x=0. Find the corresponding equation in polar. Sketch.

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Q: McKenna plots the following point on a polar coordinate plane, where both c and p are positive…

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Q: Find the length of the curve over the given interval. Polar Equation Interval r = 9 cos(8) 2

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Q: 8. Convert the polar equation r =8 cos 0 into a rectangular equation.

A: we know     The formula  of polar to rectangular    r2 = x2  + y2  , where x = r cos( theta) and…

Q: What kind of the polar graph has the equation r = 2 + 2 cos 0? limacon cardioid lemniscate…

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Q: Q1// Converting r= 12 cos 0 from polar to the equation of a circle?

A: Solution is given below:

Q: Q1// Converting r= 12 cos 0 r = 12 cos 0 from polar to the equation of a circle?

A: Given problem:- Converting r = 12cos(θ) from polar to the equation of a circle?

Q: 6. Find the area of one loop of the polar curve r = 2 sin 30

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Q: 9/2 9/2 2 Convert the point with Cartesian coordinates to polar coordinates. Enter exact values for…

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Q: aluate the dnd to polar

A: Given that, ∫0a∫02a-x2xx2+y2dxdy Take x=rcosθ, y=rsinθ where 0≤θ≤2π.

Q: 8. First graph the polar curve r= sin(20) on 0<60<2n and plot the point on the curve that…

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Q: The curve (x-)*+Cy +1)*= 4, x 7,1 is given. First draw it in the Cartesian plore and then transtorm…

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Q: What type of polar curve does the equation r = 8 sin^2 (@/2) represent?

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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: A curve with polar equation 32 3 sin 8 + 13 cos e represents a line. This line has a Cartesian…

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Q: Find the exact length of the polar curve. 6sin(0)

A: The polar curve r=6 sin(θ) ; 0≤θ≤π6