3. r= 2 sin 20 7п 5п 4T Зп TT TC TT TC 0. 4. 3. 6. 4 Check for symmetry TT line 0 = pole polar axis

Q: r = 2 cos 0,

A: To find the exact length of the polar curve.

Q: Find the length of the polar spiral r = 0² from 0 < 0 < V5.

A:

Q: (Picture of question is attached)

A: Symmetry around the polar axis (x-axis): Replace θ  with - θ  We have the given equation in polar…

Q: 4. r2 = 9 sin 20 π TT TT 4 3. 2 r Check for symmetry polar axis line 0 = pole

A:

Q: The length of the polar curve curve r=5 cos4 OS e S 2n is equal to 80 3 20 3 40 O 20 160 3

A:

Q: 24. Which of the following polar curves is a cardioid? A. r= cos () B. r= 2+3sin® C. r = 3– 20ose…

A: 24)      A. r=cos2θ2                                                         B)r=2+3sinθ…

Q: Find the area under the polar curve r = cos(0) – sin(0) between the lines 0 = 0 and 0 = 4 5.

A:

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: 2. Find the length of the curve represented by the following polar equation. 15050을=4 1 r ==,0s0sI…

A: In the question we have to find the arc length.

Q: r = 5°, 0<0<2n

A:

Q: Find the exact length of the polar curve described by: r = 5e 7 on the interval 2 0.000118

A:

Q: express in polar coords with: Cりり me point whose Ty-Coords are a.r>o and OsoL2

A: Introduction: The polar coordinates r,θ of rectangular coordinates (x,y) in two-dimensional…

Q: The polar equations for the curve + =1 is Select one: O z= 2 sin t, y = 3 cos t, 0 st< 2n. O=4 sect,…

A:

Q: You are given the polar curver = cos(0) + sin(0). (a) List all of the points (r, 0) where the…

A:

Q: Given: polar curves C₁ : r = √2- cos 0 and C₂ : r = √2+ sin intersecting at A(³√2, 37) and B(2,7) 2…

A:

Q: The area enclosed by one petal of the polar curve r = cos20 is False True O

A:

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

A:

Q: The area enclosed by one petal of the polar curve r = cos20 is 8 True O False O

A:

Q: Plot the points with polar coordinates 4, and 3, using the pencil. 4 2n 3 4 0. 4. 9. 11n 9. 5T 4 4…

A: Topic:- Geometry

Q: Consider the area inside the circle T= 6 cos 0 but outside the cardioid r = 2(1 + cos 0) a. draw the…

A:

Q: b. Plot the polar curve r=2(1- cos0) in interval n

A: r=2(1-cosθ) in the interval π , 2π

Q: Find the exact length of the polar curve. r = 3 sin(0), 0≤0 ≤ π/4

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 9. Sketch the polar curve. r = 2 cos 2 0

A:

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.…

A:

Q: r2 = 9 sin 20 TT π TT 0. 6. 4 3. Check for symmetry line 0 = pole polar axis

A: r2=9sin2θ When θ=0, r2=9sin20⇒r2=0⇒r=0 When θ=π6, r2=9sin2π6⇒r2=932⇒r=±332 When θ=π4,…

Q: Find the exact length of the polar curve described by: r = 5e-0 7 on the interval 2 0.000118

A: Exact length is 0.000118576639

Q: 9. Sketch the polar curve.r= 2 cos 2 0 ||

A:

Q: Find the exact length of the polar curve. r = e80, 0 < 0 < 2n

A:

Q: In spherical coordinates equation for the paraboloid z = 2- x - y is p(cos o- psin? $) = 2 Select…

A: We have to find out  spherical coordinate

Q: Compute the length of the polar curve. r = 1 + θ for 0 ≤ θ ≤ π/2

A: It is given that,  r=1+θ  for    0≤θ≤π2

Q: Tind the exact length of the polar curve re 2cos g unere

A:

Q: Sketch me polar urve =cos(60) %3D and wmpute the tangent linm ar thm Value = 24 TT

A:

Q: If D is the region in the third quadrant between x +y? = 1 and x2 + y? = 4, then using the polar…

A: We have to convert given double integration into polar coordinates integration.

Q: Aind he points of vakersec onlipt polar the Carves 「こ1+ 30s0 ad re_2 2 - Cos O

A:

Q: Which of the following is the distance from point. A( V5, 0) to point B(2V10, Y) in polar…

A:

Q: 1. How many petals does the polar curve r=5cos(6theta)?  2. At what points the curves…

A:

Q: Gniert y=x to polor to polar ニ 22 と= tane to Cortesian r Sinl a 色) ta Gatssian

A:

Q: Which of the following are parametric equations for the ellilpse glven by 9. + y? = 1? Choose all…

A:

Q: Find the length L of the polar curve r = 6 sin for 0 < 0 <- 2 2 OL= 12 OL= 6 OL = 6/2 OL = 12 – 6/2

A:

Q: aluate the dnd to polar

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

Q: Consider the curve. (금) 2 = 1 19 + Identify all possible parametric equations for the given curve. O…

A: In this question, we can check one by one parametric equation in the given curve.

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 area inside the polar curve r = 2+2 cos 0.

A:

Q: Calculate the length of the polar curve r =1- sin Oon the given interval [0,2m).

A: The arc length can be calculated using the formula L=∫abds. Here, a and b are the upper and lower…

Q: The graph above shows the polar curves r = 3 + cos 0 – sin(20) and r = 1+ sin 0. What is the area…

A:

Q: 3) Use polar coordinate to evaluate S'S_√x² + y² dxdy.

A:

Q: Calculate the length of the polar curve r = =1-sin Oon the given interval [0, 2m].

A: Given the polar curve r=1-sinθ over the interval 0,2π

Q: 40 cos*“for 0 < 0<m

A:

Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.