1 Foundations 2 Solving Linear Equations 3 Graphs And Functions 4 Systems Of Linear Equations 5 Polynomials And Polynomial Functions 6 Factoring 7 Rational Expressions And Functions 8 Roots And Radicals 9 Quadratic Equations And Functions 10 Exponential And Logarithmic Functions 11 Conics 12 Sequences, Series And Binomial Theorem Chapter11: Conics
11.1 Distance And Midpoint Formulas; Circles 11.2 Parabolas 11.3 Ellipses 11.4 Hyperbolas 11.5 Solve Systems Of Nonlinear Equations Chapter Questions Section11.3: Ellipses
Problem 11.39TI: Graph: x24+y216=1. Problem 11.40TI: Graph: x29+y216=1. Problem 11.41TI: Graph 9x2+16y2=144. Problem 11.42TI: Graph 16x2+25y2=400. Problem 11.43TI: Find the equation of the ellipse shown. Problem 11.44TI: Find the equation of the ellipse shown. Problem 11.45TI: Graph: ( x+3)24+( y5)216=1. Problem 11.46TI: Graph: ( x1)225+( y+3)216=1. Problem 11.47TI: Graph ( x5)29+( y+4)24=1 by translation. Problem 11.48TI: Graph ( x+6)216+( y+2)225=1 by transaction. Problem 11.49TI: (a) Write the equation 6x2+4y2+12x32y+34=0 in standard form and (b) graph. Problem 11.50TI: (a) Write the equation 4x2+y216x6y+9=0 in standard form and (b) graph. Problem 11.51TI: A planet moves in an elliptical orbit around its sun. The closest the planet gets to the sun is... Problem 11.52TI: A planet moves in an elliptical orbit around its sun. The closest the planet gets to the sun is... Problem 99E: In the following exercises, graph each ellipse. 99. x24+y225=1 Problem 100E: In the following exercises, graph each ellipse. 100. x29+y225=1 Problem 101E: In the following exercises, graph each ellipse. 101. x225+y236=1 Problem 102E: In the following exercises, graph each ellipse. 102. x216+y236=1 Problem 103E: In the following exercises, graph each ellipse. 103. x236+y216=1 Problem 104E: In the following exercises, graph each ellipse. 104. x225+y29=1 Problem 105E: In the following exercises, graph each ellipse. 105. x2+y24=1 Problem 106E: In the following exercises, graph each ellipse. 106. x29+y2=1 Problem 107E: In the following exercises, graph each ellipse. 107. 4x2+25y2=100 Problem 108E: In the following exercises, graph each ellipse. 108. 16x2+9y2=144 Problem 109E: In the following exercises, graph each ellipse. 109. 16x2+36y2=576 Problem 110E: In the following exercises, graph each ellipse. 110. 9x2+25y2=225 Problem 111E: In the following exercises, find the equation of the ellipse shown in the graph. Problem 112E: In the following exercises, find the equation of the ellipse shown in the graph. Problem 113E: In the following exercises, find the equation of the ellipse shown in the graph. Problem 114E: In the following exercises, find the equation of the ellipse shown in the graph. Problem 115E: In the following exercises, graph each ellipse. 115. ( x+1)24+( y+6)225=1 Problem 116E: In the following exercises, graph each ellipse. 116. ( x3)225+( y+2)29=1 Problem 117E: In the following exercises, graph each ellipse. 117. ( x+4)24+( y2)29=1 Problem 118E: In the following exercises, graph each ellipse. 118. ( x4)29+( y1)216=1 Problem 119E: In the following exercises, graph each ellipse. 119. ( x3)24+( y7)225=1 Problem 120E: In the following exercises, graph each ellipse. 120. ( x+6)216+( y+5)24=1 Problem 121E: In the following exercises, graph each ellipse. 121. ( x5)29+( y+4)225=1 Problem 122E: In the following exercises, graph each ellipse. 122. ( x+5)236+( y3)216=1 Problem 123E: In the following exercises, (a) write the equation in standard form and (b) graph. 123.... Problem 124E: In the following exercises, (a) write the equation in standard form and (b) graph. 124.... Problem 125E: In the following exercises, (a) write the equation in standard form and (b) graph. 125.... Problem 126E: In the following exercises, (a) write the equation in standard form and (b) graph. 126.... Problem 127E: In the following exercises, graph the equation. 127. x=2(y1)2+2 Problem 128E: In the following exercises, graph the equation. 128. x2+y2=49 Problem 129E: In the following exercises, graph the equation. 129. (x+5)2+(y+2)2=4 Problem 130E: In the following exercises, graph the equation. 130. y=x2+8x15 Problem 131E: In the following exercises, graph the equation. 131. ( x+3)216+( y+1)24=1 Problem 132E: In the following exercises, graph the equation. 132. (x2)2+(y3)2=9 Problem 133E: In the following exercises, graph the equation. 133. x225+y236=1 Problem 134E: In the following exercises, graph the equation. 134. x=4(y+1)24 Problem 135E: In the following exercises, graph the equation. 135. x2+y2=64 Problem 136E: In the following exercises, graph the equation. 136. x29+y225=1 Problem 137E: In the following exercises, graph the equation. 137. y=6x2+2x1 Problem 138E: In the following exercises, graph the equation. 138. ( x2)29+( y+3)225=1 Problem 139E: A planet moves in an elliptical orbit around its sun. The closest the planet gets to the sun is... Problem 140E: A planet moves in an elliptical orbit around its sun. The closest the planet gets to the sun is... Problem 141E: A comet moves in an elliptical orbit around a sun. The closest the comet gets to the sun is... Problem 142E: A comet moves in an elliptical orbit around a sun. The closest the comet gets to the sun is... Problem 143E: In your own words, define an ellipse and write the equation of an ellipse centered at the origin in... Problem 144E: Explain in your own words how to get the axes from the equation in standard form. Problem 145E: Compare and contrast the graphs of the equations x24+y29=1 and x29+y24=1. Problem 146E: Explain in your own words, the difference between a vertex and a focus of the ellipse. Problem 11.41TI: Graph 9x2+16y2=144.
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