Q: 14 Sketch a graph of r Use the graph to write a Cartesian equation for the conic. %3D 3 – 4 cos(8)
A:
Q: 50. Challenge Problem Suppose that a conic has an equation ep of the form r = If the polar…
A: A polar coordinate is of the form (r,θ) where r is the radius and θ is the angle made by radius with…
Q: identify the type of conic, the eccentricity, and the equation of the directrix. r = 8/1 + 4 cos θ
A:
Q: In the given equation a s follows , use a graphing utility to graph the polar equation when (a)…
A: (a). Given : e = 1.5 If e = 1.5, so the conic is hyperbola…
Q: 36 Sketch a graph of r = Use the graph to write a Cartesian equation for the conic. 4 + 5 sin(0)
A: Sketch the graph of r=364+5sinθ as shown below.
Q: find the eccentricity, identify the conic, give an equation of the directrix and sketch the graph of…
A: Solution is given below:
Q: (b) Given r=- 4 1-2 sin 0 equation of the conic in rectangular coordinates. Sketch the conic. Find…
A: given r=41-2sinθ find the distances from the pole to the vertices and then find the equation of the…
Q: What conic does the polar equation r = 2/(1 + cos u) represent? Graph the conic
A: The given polar equation is Since, the cartesian coordinate(x,y) for the polar coordinate is given…
Q: 4. Given an equation of a conic in polar formr= f(0), substituting (0 – a) results in a…
A: Given an equation of the conic in the polar form r = f(θ), Substituting θ - α results in a…
Q: 3 2+ sin 0 equation of the conic in rectangular coordinates. Sketch the conic. Given r=- Find the…
A: Given equation of conic is r=32+sinθr=1231+12sinθ Distance of vertices from pole =3 We know that…
Q: 1. Consider the polar equation r = 16 7-4cos (0) a. Identify the eccentricity. b. Compute an…
A:
Q: 14 Sketch a graph of r = Use the graph to write a Cartesian equation for the conic. 4 + 3 sin(0)
A: To Sketch: i. r=144+3sinθii. Use a graph to write the cartesian equation for the conic. Explanation:…
Q: 18 Sketch a graph of r = Use the graph to write a Cartesian equation for the 5+ 4 cos(0) conic.
A: Given equation, r=185+4 cosθ ...(1)
Q: Find a polar equation for each conic.For each,a focus is at the pole.e=1 directrix is parallel to…
A: Suppose d be the distance of the directrix, e be the eccentricity, then the polar equation for each…
Q: ed 3. For a conic defined byr = the directrix is (horizontal/vertical) with equation 1 + esin 0'
A:
Q: Give the eccentricities of conic sections with one focus at the origin of the polar coordinate…
A: Solution:- Eccentricities of conic is, e=1 Directrix is r cos u=-4 That is, x=-4 Now polar…
Q: 4 1-2 sin 0 equation of the conic (b) Given r=- Find the distances from the pole to the vertices and…
A: The given curve is r=41-2sinθ. To find: Distances from the pole to the vertices, equation in…
Q: Is the given statement true or false? Justify your answer. Directrix of a conic r = 10 3-2 cos 0 is…
A: Given: r=103-2 cos θis x=13
Q: 32 Sketch a graph of r = Use the graph to write a Cartesian equation for the conic. 5 – 3 sin(0)
A: We have to sketch the graph of r=325-3sinθ. Use the graph to write a Cartesian equation for the…
Q: 5) a) Find the eccentricity, b) identify the conic, c) give an equation of the directrix & d) Sketch…
A: Concept: We know that a conic section is defined as the locus of a point that moves in such a way…
Q: Identify the conic that the following polar equation represents. 5 r = 10 + 5 sin 0 Select the…
A:
Q: Identify the conic that the following polar equation represents. 8 r = 2+2 sin 0 Select the correct…
A:
Q: Solve, a. If necessary, write the equation in one of the standard forms for a conic in polar…
A:
Q: Is the given statement true or false? Justify your answer. 10 3-2 cos 0 is a = 13. Directrix of a…
A: The given polar equation is r=103-2cosθ. Rewrite it as follows.
Q: ed 2. For a conic defined by r = the directrix is (horizontal/vertical) with equation - ecos e
A: The polar equation is r=ed1-ecosθ
Q: State the polar Equation of a Conic Section.
A: Polar equations of conic sections: If the directrix is a distance d away, then the polar form of a…
Q: In Problem,graph each polar equation.
A: Given: r=11-cosθ
Q: Find a polar equation for each conic.For each,a focus is at the pole. e = 2/ 3 ; directrix is…
A: Consider that the conics has focus at the pole, eccentrcity e=23 and directrix parallel to the polar…
Q: Identify the conic that each polar equation represents.Also,give the position of the directrix.
A: A conic section is obtained from the intersection of a plane with surface of a cone. Three types of…
Q: (b) Given ra 1-2 sin 0 equation of the conic Find the distances from the pole to the vertices and…
A: The given polar curve is r=41-2sinθ. To Find: Distance from the poles to the vertices. To Find:…
Q: convert the given polar equation to a Cartesian equation. Write in the standard form of a conic if…
A:
Q: 20 Sketch a graph of r = Use the graph to write a Cartesian equation for the conic. 3 – 2 cos(0)
A: Given: r=203-2cos(θ) following image represents the graph for the given equation.
Q: a. If necessary, write the equation in one of the standard forms for a conic in polar coordinates.b.…
A: (a) part Consider the given polar equation r=23-2 cosθ Or the given polar equation also can be…
Q: a. If necessary, write the equation in one of the standard forms for a conic in polar coordinates.b.…
A: Given polar equation is r=63+6sinθ.
Q: 28 Sketch a graph of r = Use the graph to write a Cartesian equation for the conic. 4+ 3 sin(0)
A:
Q: Identify the conic of r 1 cos0 Answer.
A: Topic:- algebra
Q: 22 Sketch a graph of r = Use the graph to write a Cartesian equation for the conic. 6 + 5 sin(0)
A: Given r=226+5sinθ For a conic with focus at origin , directrix y=±p, p is a positive real number…
Q: 44 Sketch a graph of r = Use the graph to write a Cartesian equation for the 6 + 5 cos(8) conic.
A: Sketch the graph of the conic r=446+5cos θ using a graphing calculator as shown below.
Q: Problem 27: A conic section is described by the equation rcos?0 = sine. Compute the length of the…
A: A conic section is a curve which is obtained when the surface of the conic intersects the plane. The…
Q: Identify the conic and write its equation in rectangular coordinates: r 2 - 2 cos 0
A: r=12-2cosθ⇒r=121-cosθ⇒r=121-cosθ Comparing with r=ep1-ecosθ, we get e=1&ep=12⇒1p=12⇒p=12 Since…
Q: 16 3. Find an equation in Cartesian coordinates for the conic from with equation r = Identify the…
A:
Q: Consider the following. 10 7 +7 cos(0) (a) Find the eccentricity. Identify the conic. C parabola C…
A: Given:
Q: 9. The graph of the polar equation r = is a conic. Identify the conic. 2 + cos(0) hyperbola parabola…
A:
Q: Exercises 19–22 give the eccentricities of conic sections with one fo- cus at the origin of the…
A:
Q: Convert the given polar equation to a Cartesian equation. r= 6.cos(e) In Cartesian, this equation is…
A:
Q: 8 Sketch a graph of r Use the graph to write a Cartesian equation for the conic. 1+ 3 cos(8)
A: Sketch the graph of r=81+3cosθ as shown below.
Q: Eliminate the parameter to relate the variables directly in the parametric set of equations and…
A:
In Problem,identify the conic that each polar equation represents and graph it.
Step by step
Solved in 2 steps with 1 images