.pf{position:relative;background-color:#fff;overflow:hidden;margin:0;border:0}.pc{position:absolute;border:0;padding:0;margin:0;top:0;left:0;width:100%;height:100%;overflow:hidden;display:block;transform-origin:0 0;-ms-transform-origin:0 0;-webkit-transform-origin:0 0}.bi{position:absolute;border:0;margin:0}.c{position:absolute;border:0;padding:0;margin:0;overflow:hidden;display:block}.t{position:absolute;white-space:pre;font-size:1px;transform-origin:0 100%;-ms-transform-origin:0 100%;-webkit-transform-origin:0 100%;unicode-bidi:bidi-override;-moz-font-feature-settings:"liga" 0}.t:after{content:''}.t:before{content:'';display:inline-block}.t span{position:relative;unicode-bidi:bidi-override}._{display:inline-block;color:transparent;z-index:-1}.pi{display:none}@media screen{.pf{margin:13px auto;box-shadow:1px 1px 3px 1px #333;border-collapse:separate}}.ff1{font-family:ff1;line-height:.938965;font-style:normal;font-weight:400;visibility:visible}.ff2{font-family:ff2;line-height:.929199;font-style:normal;font-weight:400;visibility:visible}.ff3{font-family:ff3;line-height:.948242;font-style:normal;font-weight:400;visibility:visible}.ff4{font-family:ff4;line-height:.938477;font-style:normal;font-weight:400;visibility:visible}.ff5{font-family:ff5;line-height:.938477;font-style:normal;font-weight:400;visibility:visible}.ff6{font-family:ff6;line-height:.938477;font-style:normal;font-weight:400;visibility:visible}.ff7{font-family:ff7;line-height:.666504;font-style:normal;font-weight:400;visibility:visible}.m0{transform:matrix(.320260,0,0,.320260,0,0);-ms-transform:matrix(.320260,0,0,.320260,0,0);-webkit-transform:matrix(.320260,0,0,.320260,0,0)}.ls7{letter-spacing:-.2112px}.ls6{letter-spacing:0}.ls4{letter-spacing:.018880px}.ls5{letter-spacing:.13532px}.ls3{letter-spacing:.1536px}.ls0{letter-spacing:.180800px}.ls2{letter-spacing:.209960px}.ls1{letter-spacing:.21152px}.sc0{text-shadow:-.015em 0 transparent,0 .015em transparent,.015em 0 transparent,0 -.015em transparent}@media screen and (-webkit-min-device-pixel-ratio:0){.sc0{-webkit-text-stroke:.015em transparent;text-shadow:none}}.ws1{word-spacing:-15.61248px}.ws0{word-spacing:-13.248px}.ws2{word-spacing:0}._3{margin-left:-4.885944px}._2{margin-left:-3.819141px}._4{margin-left:-2.079378px}._0{margin-left:-1.068140px}._5{width:1.177658px}._8{width:3.093173px}._6{width:4.098315px}._7{width:5.22268px}._9{width:6.345022px}._1{width:10.191654px}.fc1{color:transparent}.fc0{color:#000}.fs4{font-size:27.84px}.fs3{font-size:27.936px}.fs1{font-size:44.16px}.fs2{font-size:44.256px}.fs5{font-size:51.84px}.fs0{font-size:56.16px}.y1a{bottom:-11.657478px}.y18{bottom:-8.582978px}.y6{bottom:-8.544547px}.yc{bottom:-2.280254px}.ye{bottom:-2.126529px}.ya{bottom:-2.088098px}.y12{bottom:-1.972804px}.y2{bottom:.832677px}.y30{bottom:2.485221px}.y2d{bottom:2.638946px}.y34{bottom:2.792671px}.y1e{bottom:4.176196px}.y3{bottom:4.214627px}.y62{bottom:4.240248px}.y10{bottom:4.32992px}.y21{bottom:4.335045px}.y8{bottom:4.368352px}.y66{bottom:4.393973px}.y14{bottom:4.483645px}.y23{bottom:4.488642px}.y64{bottom:4.547698px}.y5b{bottom:7.622197px}.y5e{bottom:7.775922px}.y0{bottom:44.836455px}.y3a{bottom:115.293741px}.y59{bottom:119.475189px}.y20{bottom:121.289143px}.y1f{bottom:140.197189px}.y58{bottom:147.447884px}.y2b{bottom:153.110088px}.y32{bottom:153.417538px}.y2c{bottom:154.647338px}.y33{bottom:154.801063px}.y31{bottom:155.262238px}.y3d{bottom:156.030863px}.y2a{bottom:159.259087px}.y1d{bottom:159.412812px}.y2e{bottom:173.555511px}.y2f{bottom:175.246486px}.y57{bottom:175.271979px}.y1b{bottom:178.474711px}.y1c{bottom:179.858236px}.y40{bottom:196.767984px}.y17{bottom:198.920134px}.y19{bottom:200.149934px}.y16{bottom:202.455809px}.y29{bottom:203.070709px}.y56{bottom:203.250183px}.y15{bottom:203.993059px}.y13{bottom:221.363982px}.y11{bottom:222.901232px}.y55{bottom:231.074278px}.yf{bottom:240.733331px}.yd{bottom:242.270581px}.y3b{bottom:251.647805px}.y3c{bottom:253.185055px}.y54{bottom:259.051969px}.yb{bottom:261.332479px}.y7{bottom:278.703403px}.y9{bottom:280.240653px}.y53{bottom:286.914623px}.y4{bottom:293.614727px}.y3e{bottom:295.766877px}.y3f{bottom:297.304126px}.y5{bottom:299.148826px}.y1{bottom:303.145676px}.y52{bottom:310.126968px}.y51{bottom:333.339826px}.y50{bottom:356.091124px}.y4f{bottom:378.996147px}.y4e{bottom:402.208620px}.y4d{bottom:424.959918px}.y4c{bottom:463.698359px}.y4b{bottom:486.475406px}.y4a{bottom:509.380558px}.y49{bottom:541.355355px}.y63{bottom:544.186457px}.y65{bottom:546.031157px}.y61{bottom:563.402080px}.y60{bottom:581.849079px}.y5f{bottom:604.292927px}.y5d{bottom:626.583050px}.y5c{bottom:649.180624px}.y5a{bottom:671.778197px}.y48{bottom:698.308568px}.y47{bottom:736.931971px}.y46{bottom:759.836994px}.y45{bottom:782.588292px}.y44{bottom:805.493315px}.y43{bottom:828.398339px}.y42{bottom:866.983439px}.y41{bottom:905.568282px}.he{height:1.844994px}.hd{height:4.918995px}.h6{height:5.073130px}.ha{height:11.375752px}.h9{height:11.529374px}.h5{height:17.83197px}.h2{height:17.832483px}.h7{height:17.985567px}.hc{height:17.986080px}.h10{height:21.060067px}.h12{height:21.214305px}.h4{height:31.093125px}.h8{height:31.160719px}.hb{height:31.632187px}.h11{height:34.551563px}.hf{height:40.886016px}.h3{height:40.913438px}.h1{height:800.010457px}.h0{height:1014.58492px}.w10{width:.6145px}.wf{width:.615px}.w11{width:.768625px}.w5{width:1.690872px}.w6{width:1.691372px}.w12{width:1.844495px}.we{width:1.844994px}.w8{width:3.843125px}.wa{width:3.996747px}.w9{width:3.997247px}.wb{width:5.841255px}.w16{width:5.841755px}.w23{width:5.995377px}.w3{width:6.149px}.w13{width:6.302622px}.wd{width:6.303122px}.w19{width:7.532627px}.w20{width:7.686249px}.w22{width:9.069877px}.w21{width:10.145747px}.w17{width:10.299869px}.w1e{width:11.375252px}.w15{width:11.837119px}.w18{width:12.144377px}.wc{width:12.297999px}.w1a{width:13.220221px}.w1b{width:13.988846px}.w1f{width:18.139805px}.w7{width:36.278969px}.w4{width:36.433078px}.w14{width:54.111452px}.w25{width:79.783397px}.w24{width:158.183012px}.w2{width:245.959981px}.w1{width:599.527453px}.w0{width:783.997438px}.x2{left:.031129px}.xa{left:1.319473px}.x0{left:91.594472px}.x1{left:112.526435px}.x31{left:137.45576px}.xe{left:158.644187px}.xf{left:204.607959px}.x14{left:207.528734px}.x15{left:216.444783px}.x1e{left:244.576456px}.x10{left:250.87918px}.x1f{left:254.414855px}.x20{left:259.795229px}.x17{left:291.462577px}.x3{left:297.611576px}.x1c{left:300.071176px}.x4{left:309.4484px}.x1d{left:314.828775px}.x32{left:324.667174px}.xc{left:343.267898px}.x2e{left:346.957298px}.x2f{left:353.721197px}.x5{left:355.412172px}.xd{left:370.323496px}.x26{left:382.621495px}.x11{left:389.385394px}.x27{left:396.303019px}.x6{left:401.683393px}.x21{left:407.217493px}.x2d{left:414.288842px}.x22{left:417.824517px}.x12{left:435.502891px}.x28{left:437.040140px}.x33{left:443.49659px}.x29{left:445.34129px}.x7{left:447.647165px}.x18{left:479.929412px}.x13{left:481.620387px}.x19{left:488.845461px}.x8{left:493.764661px}.x23{left:496.070536px}.x24{left:504.83286px}.x34{left:508.983435px}.x25{left:510.67441px}.x9{left:521.127709px}.xb{left:522.203784px}.x16{left:527.737883px}.x35{left:568.475005px}.x2a{left:570.319705px}.x2b{left:580.158104px}.x2c{left:585.538479px}.x1a{left:605.215277px}.x1b{left:613.055251px}.x30{left:614.566681px}

EDUCATION Lecture 1: PreCal-ELLIPSES notes

Philippines

Education

Siena College of Taytay

Education major in English

<picture><source srcset="https://prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/73/7322612.webp" type="image/webp"></source><img src="https://prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/73/7322612.png" alt=""></picture> <div id="hvl" class="hidden">9 5 + 4 cos 8. Consider the ellipse r= (a) [4 pts] Find the distance between the two foci of this ellipse. (b) [4 pts] Find the rectangular coordinates of both vertices of this ellipse. (c) [4 pts] Find the equation of this ellipse in rectangular coordinates in its standard form ind the equation of this ellipse in rectangular coordinates in ts standard torm. </div>

Kepler found the orbits of planets are ellipses, not circles. True or False.

For a point P on an ellipse, let d be the distance from the center of the ellipse to the line tangent to
the ellipse at P. Prove that <picture><source srcset="https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/329255571418511/question/0.webp?img=e118cb506fc4c714fe3e2c4af6b20695" type="image/webp"><img src="https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/329255571418511/question/0.png?img=fffa039b8411ad1ca840d408c4b7e55d" data-mlang="latex" data-equation="%28%7BPF_%7B1%7D%7D%29%28%7BPF_%7B2%7D%7D%29d%5E%7B2%7D"></picture> is constant as P varies on the ellipse, where <picture><source srcset="https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/329255571418511/question/1.webp?img=3a5170736905092afea5fbc8186b22ef" type="image/webp"><img src="https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/329255571418511/question/1.png?img=c40da1b8c9fdd67034ec02b98c2fa0e0" data-mlang="latex" data-equation="PF_%7B1%7D"></picture> and <picture><source srcset="https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/329255571418511/question/2.webp?img=ba73e86c36ebf792981a989c7f00bfd1" type="image/webp"><img src="https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/329255571418511/question/2.png?img=cc0d3608de4db0e9a1250b924836cc1a" data-mlang="latex" data-equation="PF_%7B2%7D"></picture> are the distances from P to the foci <picture><source srcset="https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/329255571418511/question/3.webp?img=b18c1f22ffa6754d9ea9097c49f031da" type="image/webp"><img src="https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/329255571418511/question/3.png?img=5681e23052497815bc868ad54259072e" data-mlang="latex" data-equation="F_%7B1%7D"></picture> and <picture><source srcset="https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/329255571418511/question/4.webp?img=870a16691dee613139e13a67202c8eb3" type="image/webp"><img src="https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/329255571418511/question/4.png?img=5e6d88c35ead3c577e750cbfa5931783" data-mlang="latex" data-equation="F_%7B2%7D"></picture> of the ellipse.

EDUCATION Lecture 1: PreCal-ELLIPSES notes

Get access

Related Documents

Astronomy 2021A/B Final: Astronomy 2021A/B Final Exam Cheat Sheet

ACS 300 Lecture Notes - Lecture 8: Cartesian Coordinate System, Scholasticism, Gottfried Wilhelm Leibniz

ASTR 1101 Chapter Notes - Chapter 3: Semi-Major And Semi-Minor Axes, Ellipse, Orbital Speed

Related Questions