UD CALC (241 ONLY) W/1 TERM ACCESS >IB
8th Edition
ISBN: 9781337051545
Author: Stewart
Publisher: CENGAGE C
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 10.6, Problem 25E
To determine
To find:
A polar equation for ellipse form when Mars make orbit around the sun.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
State the polar Equation of a Conic Section.
The orbit of Jupiter is an ellipse with the sun at one focus. The eccentricity of the ellipse is .0489, and the maximum distance of
Jupiter from the sun is 507.4 million miles. Find the closest distance that Jupiter comes to the sun.
Sun
a+c
у
Jupiter
a-c
a
Pluto travels around the sun in an elliptical path with the sun
at one focus. The minor axis of its orbit is 10,000,000,000 km. Find the
distance between Pluto and the sun at perihelion, the vertex closest to
the sun. Then find the distance between Pluto and the sun at aphelion,
6.
the further vertex from the sun.
Chapter 10 Solutions
UD CALC (241 ONLY) W/1 TERM ACCESS >IB
Ch. 10.1 - 14 Sketch the curve by using the parametric...Ch. 10.1 - 14 Sketch the curve by using the parametric...Ch. 10.1 - 14 Sketch the curve by using the parametric...Ch. 10.1 - 14 Sketch the curve by using the parametric...Ch. 10.1 - Prob. 5ECh. 10.1 - Prob. 6ECh. 10.1 - Prob. 7ECh. 10.1 - Prob. 8ECh. 10.1 - Prob. 9ECh. 10.1 - Prob. 10E
Ch. 10.1 - 1118 a Eliminate the parameter to find a Cartesian...Ch. 10.1 - 1118 a Eliminate the parameter to find a Cartesian...Ch. 10.1 - 1118 a Eliminate the parameter to find a Cartesian...Ch. 10.1 - 1118 a Eliminate the parameter to find a Cartesian...Ch. 10.1 - 1118 a Eliminate the parameter to find a Cartesian...Ch. 10.1 - 1118 a Eliminate the parameter to find a Cartesian...Ch. 10.1 - 1118 a Eliminate the parameter to find a Cartesian...Ch. 10.1 - 1118 a Eliminate the parameter to find a Cartesian...Ch. 10.1 - 1922 Describe the motion of a particle with...Ch. 10.1 - 1922 Describe the motion of a particle with...Ch. 10.1 - 1922 Describe the motion of a particle with...Ch. 10.1 - Prob. 22ECh. 10.1 - Prob. 23ECh. 10.1 - Prob. 24ECh. 10.1 - 2527 Use the graphs of x=f(t) and y=g(t) to sketch...Ch. 10.1 - 2527 Use the graphs of x=f(t) and y=g(t) to sketch...Ch. 10.1 - Prob. 27ECh. 10.1 - Match the parametric equations with the graphs...Ch. 10.1 - Prob. 29ECh. 10.1 - Prob. 30ECh. 10.1 - a Show that the parametric equations...Ch. 10.1 - Use a graphing device and the result of Exercise...Ch. 10.1 - Prob. 33ECh. 10.1 - a Find parametric equations for the ellipse...Ch. 10.1 - Prob. 35ECh. 10.1 - Prob. 36ECh. 10.1 - Prob. 37ECh. 10.1 - 3738 Compare the curves represented by the...Ch. 10.1 - Prob. 39ECh. 10.1 - Prob. 40ECh. 10.1 - Prob. 41ECh. 10.1 - If a and b are fixed numbers, find parametric...Ch. 10.1 - A curve, called a witch of Maria Agnesi, consists...Ch. 10.1 - a Find parametric equations for the set of all...Ch. 10.1 - Suppose that the position of one particle at time...Ch. 10.1 - Prob. 46ECh. 10.1 - Prob. 47ECh. 10.1 - The swallowtail catastrophe curves are defined by...Ch. 10.1 - Prob. 49ECh. 10.1 - Prob. 50ECh. 10.1 - Prob. 51ECh. 10.1 - Prob. 52ECh. 10.2 - 12 Find dy/dx. x=t1+t,y=1+tCh. 10.2 - Prob. 2ECh. 10.2 - Prob. 3ECh. 10.2 - Prob. 4ECh. 10.2 - 36 Find and equation of the tangent to the curve...Ch. 10.2 - 36 Find and equation of the tangent to the curve...Ch. 10.2 - Prob. 7ECh. 10.2 - Prob. 8ECh. 10.2 - Prob. 9ECh. 10.2 - Prob. 10ECh. 10.2 - Prob. 11ECh. 10.2 - Prob. 12ECh. 10.2 - Prob. 13ECh. 10.2 - Prob. 14ECh. 10.2 - Prob. 15ECh. 10.2 - Prob. 16ECh. 10.2 - Prob. 17ECh. 10.2 - Prob. 18ECh. 10.2 - 1720 Find the points on the curve where the...Ch. 10.2 - Prob. 20ECh. 10.2 - Prob. 21ECh. 10.2 - Use a graph to estimate the coordinates of the...Ch. 10.2 - Prob. 23ECh. 10.2 - Prob. 24ECh. 10.2 - Prob. 25ECh. 10.2 - Prob. 26ECh. 10.2 - Prob. 27ECh. 10.2 - a Find the slope of the tangent to the astroid...Ch. 10.2 - Prob. 29ECh. 10.2 - Prob. 30ECh. 10.2 - Use the parametric equations of an ellipse,...Ch. 10.2 - Prob. 32ECh. 10.2 - Prob. 33ECh. 10.2 - Prob. 34ECh. 10.2 - Prob. 35ECh. 10.2 - Let R be the region enclosed by the loop of the...Ch. 10.2 - Prob. 37ECh. 10.2 - Prob. 38ECh. 10.2 - Prob. 39ECh. 10.2 - Prob. 40ECh. 10.2 - Prob. 41ECh. 10.2 - 4144 Find the exact length of the curve....Ch. 10.2 - Prob. 43ECh. 10.2 - Prob. 44ECh. 10.2 - 4546 Graph the curve and find its exact length....Ch. 10.2 - 4546 Graph the curve and find its exact length....Ch. 10.2 - Prob. 47ECh. 10.2 - Prob. 48ECh. 10.2 - Use Simpsons Rule with n=6 to estimate the length...Ch. 10.2 - Prob. 50ECh. 10.2 - Prob. 51ECh. 10.2 - Prob. 52ECh. 10.2 - Show that the total length of the ellipse...Ch. 10.2 - Find the total length of the astroid...Ch. 10.2 - Prob. 55ECh. 10.2 - Prob. 56ECh. 10.2 - Prob. 57ECh. 10.2 - 5760 Set up an integral that represents the area...Ch. 10.2 - Prob. 59ECh. 10.2 - Prob. 60ECh. 10.2 - Prob. 61ECh. 10.2 - 6163 Find the exact area of the surface obtained...Ch. 10.2 - 6163 Find the exact area of the surface obtained...Ch. 10.2 - Prob. 64ECh. 10.2 - Prob. 65ECh. 10.2 - Prob. 66ECh. 10.2 - If f is continuous and f(t)0 for atb, show that...Ch. 10.2 - Prob. 68ECh. 10.2 - The curvature at a point P of a curve is defined...Ch. 10.2 - Prob. 70ECh. 10.2 - Prob. 71ECh. 10.2 - Prob. 72ECh. 10.2 - A string is wound around a circle and then unwound...Ch. 10.2 - A cow is tied to a silo with radius r by a rope...Ch. 10.3 - Prob. 1ECh. 10.3 - Prob. 2ECh. 10.3 - Prob. 3ECh. 10.3 - Prob. 4ECh. 10.3 - Prob. 5ECh. 10.3 - Prob. 6ECh. 10.3 - Prob. 7ECh. 10.3 - Prob. 8ECh. 10.3 - Prob. 9ECh. 10.3 - Prob. 10ECh. 10.3 - Prob. 11ECh. 10.3 - Prob. 12ECh. 10.3 - Prob. 13ECh. 10.3 - Prob. 14ECh. 10.3 - Prob. 15ECh. 10.3 - Prob. 16ECh. 10.3 - Prob. 17ECh. 10.3 - Prob. 18ECh. 10.3 - 1520 Identify the curve by finding a Cartesian...Ch. 10.3 - 1520 Identify the curve by finding a Cartesian...Ch. 10.3 - Prob. 21ECh. 10.3 - Prob. 22ECh. 10.3 - Prob. 23ECh. 10.3 - Prob. 24ECh. 10.3 - Prob. 25ECh. 10.3 - Prob. 26ECh. 10.3 - Prob. 27ECh. 10.3 - Prob. 28ECh. 10.3 - Prob. 29ECh. 10.3 - Prob. 30ECh. 10.3 - Prob. 31ECh. 10.3 - Prob. 32ECh. 10.3 - Prob. 33ECh. 10.3 - Prob. 34ECh. 10.3 - Prob. 35ECh. 10.3 - Prob. 36ECh. 10.3 - Prob. 37ECh. 10.3 - Prob. 38ECh. 10.3 - Prob. 39ECh. 10.3 - Prob. 40ECh. 10.3 - Prob. 41ECh. 10.3 - Prob. 42ECh. 10.3 - Prob. 43ECh. 10.3 - Prob. 44ECh. 10.3 - Prob. 45ECh. 10.3 - Prob. 46ECh. 10.3 - Prob. 47ECh. 10.3 - Prob. 48ECh. 10.3 - Prob. 49ECh. 10.3 - Prob. 50ECh. 10.3 - Show that the curve r=sintan called a cissoid of...Ch. 10.3 - Prob. 52ECh. 10.3 - a In Example 11 the graphs suggest that the limaon...Ch. 10.3 - Prob. 54ECh. 10.3 - 5560 Find the slope of the tangent line to the...Ch. 10.3 - Prob. 56ECh. 10.3 - Prob. 57ECh. 10.3 - Prob. 58ECh. 10.3 - Prob. 59ECh. 10.3 - Prob. 60ECh. 10.3 - Prob. 61ECh. 10.3 - 6164 Find the points on the given curve where the...Ch. 10.3 - Prob. 63ECh. 10.3 - Prob. 64ECh. 10.3 - Prob. 65ECh. 10.3 - Show that the curves r=asin and r=acos intersect...Ch. 10.3 - Prob. 67ECh. 10.3 - Prob. 68ECh. 10.3 - Prob. 69ECh. 10.3 - Prob. 70ECh. 10.3 - Prob. 71ECh. 10.3 - Prob. 72ECh. 10.3 - Prob. 73ECh. 10.3 - Prob. 74ECh. 10.3 - Prob. 75ECh. 10.3 - Prob. 76ECh. 10.3 - Prob. 77ECh. 10.3 - Prob. 78ECh. 10.4 - 14 Find the area of the region that is bounded by...Ch. 10.4 - 14 Find the area of the region that is bounded by...Ch. 10.4 - 14 Find the area of the region that is bounded by...Ch. 10.4 - Prob. 4ECh. 10.4 - 58 Find the area of the shaded region. r2=sin2Ch. 10.4 - 58 Find the area of the shaded region. r=2+cosCh. 10.4 - 58 Find the area of the shaded region. r=4+3sinCh. 10.4 - 58 Find the area of the shaded region. r=ln, 12Ch. 10.4 - 912 Sketch the curve and find the area that it...Ch. 10.4 - 912 Sketch the curve and find the area that it...Ch. 10.4 - 912 Sketch the curve and find the area that it...Ch. 10.4 - 912 Sketch the curve and find the area that it...Ch. 10.4 - Prob. 13ECh. 10.4 - Prob. 14ECh. 10.4 - Prob. 15ECh. 10.4 - Prob. 16ECh. 10.4 - 1721 Find the area of the region enclosed by one...Ch. 10.4 - Prob. 18ECh. 10.4 - 1721 Find the area of the region enclosed by one...Ch. 10.4 - 1721 Find the area of the region enclosed by one...Ch. 10.4 - 1721 Find the area of the region enclosed by one...Ch. 10.4 - Find the area enclosed by the loop of the...Ch. 10.4 - Prob. 23ECh. 10.4 - 2328 Find the area of the region that lies inside...Ch. 10.4 - Prob. 25ECh. 10.4 - Prob. 26ECh. 10.4 - 2328 Find the area of the region that lies inside...Ch. 10.4 - Prob. 28ECh. 10.4 - 2934 Find the area of the region that lies inside...Ch. 10.4 - 2934 Find the area of the region that lies inside...Ch. 10.4 - Prob. 31ECh. 10.4 - Prob. 32ECh. 10.4 - Prob. 33ECh. 10.4 - Prob. 34ECh. 10.4 - Prob. 35ECh. 10.4 - Find the area between a larger loop and enclosed...Ch. 10.4 - Prob. 37ECh. 10.4 - 3742 Find all points of intersection of the given...Ch. 10.4 - 3742 Find all points of intersection of the given...Ch. 10.4 - Prob. 40ECh. 10.4 - Prob. 41ECh. 10.4 - Prob. 42ECh. 10.4 - Prob. 43ECh. 10.4 - When recording live performances, sound engineers...Ch. 10.4 - Prob. 45ECh. 10.4 - 4548 Find the exact length of the polar curve....Ch. 10.4 - 4548 Find the exact length of the polar curve....Ch. 10.4 - Prob. 48ECh. 10.4 - 4950 Find the exact length of the curve. Use a...Ch. 10.4 - Prob. 50ECh. 10.4 - Prob. 51ECh. 10.4 - Prob. 52ECh. 10.4 - Prob. 53ECh. 10.4 - Prob. 54ECh. 10.4 - a Use Formula 10.2 to show that the area of the...Ch. 10.4 - a Find a formula for the area of the surface...Ch. 10.5 - 18 Find the vertex, focus, and directrix of the...Ch. 10.5 - Prob. 2ECh. 10.5 - Prob. 3ECh. 10.5 - Prob. 4ECh. 10.5 - 18 Find the vertex, focus, and directrix of the...Ch. 10.5 - Prob. 6ECh. 10.5 - Prob. 7ECh. 10.5 - Prob. 8ECh. 10.5 - 910 Find an equation of the parabola. Then find...Ch. 10.5 - 910 Find an equation of the parabola. Then find...Ch. 10.5 - 1116 Find the vertices and foci of the ellipse and...Ch. 10.5 - Prob. 12ECh. 10.5 - Prob. 13ECh. 10.5 - 1116 Find the vertices and foci of the ellipse and...Ch. 10.5 - Prob. 15ECh. 10.5 - Prob. 16ECh. 10.5 - 1718 Find an equation of the ellipse. Then find...Ch. 10.5 - Prob. 18ECh. 10.5 - Prob. 19ECh. 10.5 - Prob. 20ECh. 10.5 - Prob. 21ECh. 10.5 - Prob. 22ECh. 10.5 - Prob. 23ECh. 10.5 - Prob. 24ECh. 10.5 - Prob. 25ECh. 10.5 - 2530 Identify the type of conic section whose...Ch. 10.5 - Prob. 27ECh. 10.5 - Prob. 28ECh. 10.5 - Prob. 29ECh. 10.5 - Prob. 30ECh. 10.5 - Prob. 31ECh. 10.5 - Prob. 32ECh. 10.5 - Prob. 33ECh. 10.5 - 3148 Find an equation for the conic that satisfies...Ch. 10.5 - Prob. 35ECh. 10.5 - Prob. 36ECh. 10.5 - Prob. 37ECh. 10.5 - Prob. 38ECh. 10.5 - Prob. 39ECh. 10.5 - Prob. 40ECh. 10.5 - Prob. 41ECh. 10.5 - Prob. 42ECh. 10.5 - Prob. 43ECh. 10.5 - Prob. 44ECh. 10.5 - Prob. 45ECh. 10.5 - Prob. 46ECh. 10.5 - Prob. 47ECh. 10.5 - Prob. 48ECh. 10.5 - The point in a lunar orbit nearest the surface of...Ch. 10.5 - A cross-section of a parabolic reflector is shown...Ch. 10.5 - The LORAN LOng RAnge Navigation radio navigation...Ch. 10.5 - Use the definition of a hyperbola to derive...Ch. 10.5 - Prob. 53ECh. 10.5 - Prob. 54ECh. 10.5 - Prob. 55ECh. 10.5 - Prob. 56ECh. 10.5 - Prob. 57ECh. 10.5 - Prob. 58ECh. 10.5 - Prob. 59ECh. 10.5 - Prob. 60ECh. 10.5 - Prob. 61ECh. 10.5 - Prob. 62ECh. 10.5 - Prob. 63ECh. 10.5 - a Calculate the surface area of the ellipsoid that...Ch. 10.5 - Let P(x1,y1) be a point on the ellipse...Ch. 10.5 - Let P(x1,y1) be a point on the hyperbola...Ch. 10.6 - Prob. 1ECh. 10.6 - Prob. 2ECh. 10.6 - Prob. 3ECh. 10.6 - Prob. 4ECh. 10.6 - Prob. 5ECh. 10.6 - Prob. 6ECh. 10.6 - Prob. 7ECh. 10.6 - Prob. 8ECh. 10.6 - Prob. 9ECh. 10.6 - Prob. 10ECh. 10.6 - Prob. 11ECh. 10.6 - Prob. 12ECh. 10.6 - Prob. 13ECh. 10.6 - Prob. 14ECh. 10.6 - Prob. 15ECh. 10.6 - Prob. 16ECh. 10.6 - Prob. 17ECh. 10.6 - Prob. 18ECh. 10.6 - Prob. 19ECh. 10.6 - Prob. 20ECh. 10.6 - Prob. 21ECh. 10.6 - Prob. 22ECh. 10.6 - Prob. 23ECh. 10.6 - Prob. 24ECh. 10.6 - Prob. 25ECh. 10.6 - Prob. 26ECh. 10.6 - The orbit of Halleys comet, last seen in 1986 and...Ch. 10.6 - Prob. 28ECh. 10.6 - Prob. 29ECh. 10.6 - Prob. 30ECh. 10.6 - Prob. 31ECh. 10.R - a What is a parametric curve? b How do you sketch...Ch. 10.R - Prob. 2CCCh. 10.R - Prob. 3CCCh. 10.R - Prob. 4CCCh. 10.R - Prob. 5CCCh. 10.R - Prob. 6CCCh. 10.R - Prob. 7CCCh. 10.R - a Give a definition of a hyperbola in terms of...Ch. 10.R - Prob. 9CCCh. 10.R - Prob. 1TFQCh. 10.R - Prob. 2TFQCh. 10.R - Prob. 3TFQCh. 10.R - Prob. 4TFQCh. 10.R - Prob. 5TFQCh. 10.R - Prob. 6TFQCh. 10.R - Prob. 7TFQCh. 10.R - Prob. 8TFQCh. 10.R - Determine whether the statement is true or false....Ch. 10.R - Prob. 10TFQCh. 10.R - Prob. 1ECh. 10.R - Prob. 2ECh. 10.R - Prob. 3ECh. 10.R - Prob. 4ECh. 10.R - Prob. 5ECh. 10.R - Prob. 6ECh. 10.R - Prob. 7ECh. 10.R - Prob. 8ECh. 10.R - Prob. 9ECh. 10.R - Prob. 10ECh. 10.R - Prob. 11ECh. 10.R - Prob. 12ECh. 10.R - Prob. 13ECh. 10.R - Prob. 14ECh. 10.R - Prob. 15ECh. 10.R - Prob. 16ECh. 10.R - Prob. 17ECh. 10.R - Prob. 18ECh. 10.R - Prob. 19ECh. 10.R - Prob. 20ECh. 10.R - Prob. 21ECh. 10.R - Prob. 22ECh. 10.R - Prob. 23ECh. 10.R - Prob. 24ECh. 10.R - Prob. 25ECh. 10.R - Prob. 26ECh. 10.R - Prob. 27ECh. 10.R - Prob. 28ECh. 10.R - At what points does the curve...Ch. 10.R - Prob. 30ECh. 10.R - Find the area enclosed by the curve r2=9cos5.Ch. 10.R - Prob. 32ECh. 10.R - Prob. 33ECh. 10.R - Prob. 34ECh. 10.R - Prob. 35ECh. 10.R - Find the area of the region that lies inside the...Ch. 10.R - 3740 Find the length of the curve. x=3t2,y=2t3,0t2Ch. 10.R - Prob. 38ECh. 10.R - 3740 Find the length of the curve. r=1/,2Ch. 10.R - Prob. 40ECh. 10.R - 4142 Find the area of the surface obtained by...Ch. 10.R - Prob. 42ECh. 10.R - Prob. 43ECh. 10.R - Prob. 44ECh. 10.R - Prob. 45ECh. 10.R - Prob. 46ECh. 10.R - Prob. 47ECh. 10.R - Prob. 48ECh. 10.R - Prob. 49ECh. 10.R - Find an equation of the parabola with focus (2,1)...Ch. 10.R - Prob. 51ECh. 10.R - Prob. 52ECh. 10.R - Prob. 53ECh. 10.R - Prob. 54ECh. 10.R - Prob. 55ECh. 10.R - Prob. 56ECh. 10.R - In the figure the circle of radius a is...Ch. 10.R - A curve called the folium of Descartes is defined...Ch. 10.P - The outer circle in the figure has radius 1 and...Ch. 10.P - a Find the highest and lowest points on the curve...Ch. 10.P - What is the smallest viewing rectangle that...Ch. 10.P - Four bugs are placed at the four corners of a...Ch. 10.P - Show that any tangent line to a hyperbola touches...Ch. 10.P - A circle C of radius 2r has its center at the...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.Similar questions
- Write the equation for the ellipse rotatedπ6 radian clockwise from the ellipse r = 8/(8 + 5 cos) .arrow_forwardPluto travels around the sun in an elliptical path with eccen- tricity e = 0.25 with the sun at one focus. The minor axis of its orbit is 10,000,000,000 km. Find the distance between Pluto and the sun at perihelion, the vertex closest to the sun. Then find the distance between Pluto and the sun at aphelion, the further vertex from the sun.arrow_forwardThe first artificial satellite to orbit the earth was Sputnik I. Its highest point above earth's surface was 947 km, and its lowest point was 228 km. The center of the earth was at one focus of the elliptical orbit. The radius of the earth is 6378 km. Find the eccentricity ofthe orbit.arrow_forward
- Consider the following. 409x² + 576xy + 241y² = 625 (a) Use the discriminant to determine whether the graph of the equation is a parabola, an ellipse, or a hyperbola. O parabola Ⓒellipse O hyperbola (b) Use a rotation of axes to eliminate the xy-term. (Write an equation in XY-coordinates. Use equation in XY-coordinates. Use a rotation angle that satisfies 0 ≤ ≤ π/2.) (c) Sketch the graph. -10 Y -10 -5 -5 y 10 5 -5 -10 y 10 5 -10 10 X -10 -5 y 10 - 10 y +* 10 -10 -5 -5 10 X - 10 10 X 10arrow_forwardgive the eccentricities of conic sections with one focus at the origin along with the directrix corresponding to that focus. Find a polar equation for each conic section. e = 1/5, y = -10arrow_forwardA semielliptical arch over a tunnel for a one-way road through a mountain has a major axis of 50 feet and a height at the center of 10 feet. Find an equation of the semielliptical archarrow_forward
- give the eccentricities of conic sections with onefocus at the origin along with the directrix corresponding to that focus.Find a polar equation for each conic section. e = 1/2, x = 1arrow_forwardThe path of a dolphin jumping is shaped like a semi-ellipse. The maximum height above the water at the center is 44 ft. Its height is 22 ft at a point 9 ft from the center. Find an equation for the elliptical path.arrow_forwardFind the half of its major axis. eccentricity of an ellipse- 2 a + y² b² = 1 whose latus rectum isarrow_forward
- A communications satellite is to be put into an elliptical orbit around the earth so that the earth is at one focus. The maximum and minimum distances of the satellite from the earth occur at the vertices of the ellipse. The maximum distance is 20 miles and the minimum distance is 15 miles. Determine an equation of the elliptical orbit of the satellite if the center of the orbit is at the origin of the coordinate plane.arrow_forwardThe moon orbits Earth in an elliptical path with the center of Earth at one focus, as shown. The major and minor axes of the orbit have lengths of 768,800 kilometers and 767,641 kilometers, respectively. Find the greatest and least distances (the apogee and perigee) from Earth’s center to the moon’s center.arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- Trigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
Trigonometry (MindTap Course List)
Trigonometry
ISBN:9781337278461
Author:Ron Larson
Publisher:Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
What is Ellipse?; Author: Don't Memorise;https://www.youtube.com/watch?v=nzwCInIMlU4;License: Standard YouTube License, CC-BY