in polar coordinates find its length. The curve given by the equation r = -8sin0 a) В) 24п С) 4п O D) 167 TO) 64T

Q: If the slope of the tangent line to the polar curve r = 10 cos 0 at the point P is –1 and (r, y) are…

A:

Q: The Cartesian equation of the polar curve r = 2sin0 + 2cos0 is Select one: O x² + y? = 2 O x + y = 4…

A:

Q: Sketch the polar curve r= Jcos 20 and r = 2cos0. %3D

A: To sketch the polar curve r = cos 2θ   and r = 2cos θ

Q: Find polar equation for the circle. Sketch circle in the coordinate plane and label it with both its…

A: Methods to convert the cartesian expression into the polar expression helps to do so. Substitution…

Q: Which of the following polar curves is a cardioid? A. r= cos ? () B. r=2+3sine C. r= 3- 2 cose D. r…

A: Use the standard form of polar equation of cardioid and compare with the given options.

Q: Change the following rectangular points (x,y) to polar points (r, theta)  a)       (3,-3) b)…

A: a). Given, Polar coordinates are, b). Given, Polar coordinates are,

Q: Convert the following polar curves into Cartesian. r= 2/(4-costehta)

A: Converting polar curves into Cartesian: r2 = x2 + y2 x = rcos θ y = rsin θ

Q: in one polar plane, plot the following points a.) (4, "/3) b.) (-3,- SE) d.) (2₁-77) 4 e.) (-1.5,…

A:

Q: Sketch the following polar rectangle. 2x = {(r,0): 4sr5,

A:

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

A:

Q: Give the center and radius of the circle generated by the equations x = 3 sin t, y = -3 cos t, for 0…

A:

Q: Under what conditions can you find the length of a curver = ƒ(θ), a ≤ θ ≤ b, in the polar coordinate…

A: step 1 :           Conditions to find the length of the curver = f(θ) , ∝ ≤ θ ≤ B* The curve r =f(θ)…

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: snip

A: A point is expressed in polar coordinates as r, θ. To convert it into a point in rectangular…

Q: Find the length of the spiraling polar curve r = 7e20 From 0 to 27. The length is

A: We have to solve given problem:

Q: Find the Slope of the polar urve at the indicated pont r= 6 sin 4e

A: Given,             r=6sin4θ , θ=0

Q: If 0 < 0 < 7, which of the following points DOES NOT coincide with the polar point (-r, 0)? Select…

A:

Q: Describe the projections of the circle r(t) =〈sin t, 0, 4 + cost〉onto the coordinate planes.

A:

Q: Find the distance between the following points wchich are represented in polar coordinates, P: (r,…

A: Given query is to find the distance between given points.

Q: convert the rectangular point (-1, -sqroot3) to polar, where r is greater than or equal to 0 and 0…

A: We know that polar form of a rectangular point x,y is r,θ=x2+y2,tan-1yx. We have, Rectangular point…

Q: Consider the parametric curve defned by r=3+5t and y=1+ Over which values of y does t curve has a…

A: Given problem:- Consider the parametric curve defect by   x = 3 + 5t and y = 1 + 3t   Over which…

Q: (c) How do you find the length of a polar curve?

A:

Q: Sketch the polar curve defined by the equation r =1+2cos(3t).

A: We will sketch the polar curve by finding the value of ' r ' for different ' t ', t varies from 0 to…

Q: 22. y dA, where S is the first quadrant polar rectangle in- side x? + y? = 4 and outside x+ y? = 1

A: Evaluation of the double integral by using polar coordinates

Q: Show that the polar equation r = asin(θ)+ bcos(θ), where ab≠0, represents a circle, and find its…

A: We have to proof

Q: Find the Cartesian coordinates of the following points (given in polar coc 7n a. V2,4 b. (4,0) с. 0,…

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost other…

Q: Derive the formula for the distance between points P1(p1,q1,z1) and P2(p2,q2,z2) given in spherical…

A:

Q: Find a polar equation for the circle x + (y +9)2 = 81. Then sketch the circle in the coordinate…

A:

Q: Given the polar point (r, 0), find its rectangular representation. (-:) -17, 2

A: Given Polar coordinates  Now we have rectangle coordinates as shown below

Q: What is the polar equation of a circle of radius Va? + b centered at (a, b)?

A: General equation of a circle is given by - x-h2+y-k2 = r2              ..............(1)where,h, k =…

Q: Find the exact length of the polar curve. r = e5?, 0 ≤ ? ≤ 2?

A:

Q: Convert the polar equation to Cartesian. r=5 cot? 0 csc 0 2² + y = 5xy? Vx- + ry

A:

Q: The Cartesian equation of the polar curver= 2sin0 + 2cos0 is Select one: O r + y? = 2 O x+y=2 O y? –…

A: Note that : 1) x^2+y^2=r^2 2) x=r(cos(theta)) 3)y=r(sin(theta))

Q: Complete the table of coordinates below. Where necessary,round to two decimal places. Then plot the…

A: we use the trigonometric values for cosθ to find out the coordinate r for each θ .

Q: Sketch the polar curve r =a( 3 + 2 cos theta) and find the area that it encloses

A: When a=1 , 2, 3

Q: Does the origin lie on the polar curve r = 1 – 3cose ? Explain.

A: We will first plot the polar curve in the 2D (r,θ) plane with polar coordinates. We shall plot it…

Q: Find polar Ir>0 and Os0<2T. Coordinates of the points such that

A:

Q: Determine the length of the polar curve r = 2°, 0<0<.

A:

Q: b) Find the area of the triangle with vertices P, Q, R. c)Write down parametric equations for the…

A:

Q: Find the exact length of the polar curve. r = e4?,    0 ≤ ? ≤ 2?

A:

Q: 5Tt TC and using the pencil. 4 Plot the points with polar coordinates 4 6. 11a 6. 4 4 47t 3 一4

A:

Q: Find the Cartesian coordinates of the given polar coordinates. a) (4,pi) : (x,y)=? b) (4, -2pi/3)…

A:

Q: Match the point in polar coordinates OA 01 (4, 0) 6 3π 4 ○ B 4, c(4, - T 6 T D -4, 4 X -4, 5 (F) 6…

A: Here we will find the correct option for given point,

Q: the center of the circle given by the equation r = 6sinθ – 8cosθ in polar coordinates is M(a, b) and…

A:

Q: Consider the parametric curve defined by x=3+5t and y=1+3t Over which values of, does the curve has…

A: Given

Q: Find the polar eauation for the curve represented by the given Cartesian eavation. Dy=-4x² 1.

A: We need to find polar equation.

Q: Find the formula for the distance between the points P1(a1,b1,c1) and P2(a2,b2,c2) given in…

A: First write the given coordinates in spherical coordinates. a1=r cosθsinϕb1=r…

Q: Find a polar equation for the curve represented by the given Cartesian equation. 9. a? + y? = 25

A: Given equation x2 + y2 = 25 To be found : Polar form.of given equation.

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

A: From cartesian to polar, please make the following substitution: x = rcosθ; y = rsinθ