Algebra-Trigonometry-CynthiaYoung-3ed125.pdf - c11g.qxd 7:24 PM Page 1211 Review Exercises Determine the angle of rotation necessary to transform the

# Algebra-Trigonometry-CynthiaYoung-3ed125.pdf - c11g.qxd...

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Review Exercises1211Determine the angle of rotation necessary to transform the equation in x andyinto an equation in X andYwith no XY-term.85.86.Graph the second-degree equation.87.88.11.8Polar Equations of ConicsFind the polar equation that represents the conic described.89.An ellipse with eccentricity and directrix 90.A parabola with directrix Identify the conic (parabola, ellipse, or hyperbola) that eachpolar equation represents.91.92.For the given polar equations, find the eccentricity andvertex (or vertices), and graph the curve.93.94.11.9Parametric Equations and GraphsGraph the curve defined by the parametric equations.95.96.97.98.The given parametric equations define a plane curve. Findan equation in rectangular form that also corresponds to theplane curve.99.100.101.102.Technology ExercisesSection 11.2103.In your mind, picture the parabola given byWhere is the vertex? Whichway does this parabola open? Now plot the parabola with agraphing utility.(x-0.6)2= -4(y+1.2).x=3t2+4, y=3t2-5x=2tan2t, y=4sec2tx=5sin2t, y=2cos2tx=4-t2, y=tx=t+3, y=4 for tin [-4, 4]x=4-t2, y=t2for tin [-3, 3]x=5 sin2t, y=2cos2tfor tin [-p, p]x=sint, y=4costfor tin [-p, p]r=61-sinur=42+cosur=25+3sinur=64-5cosux=2y= -7e=3776x2+4813xy+28y2-100=0x2+2xy+y2+12x-12y+8=04x2+5xy+4y2-11=04x2+213xy+6y2-9=0104.In your mind, picture the parabola given byWhere is the vertex? Which waydoes this parabola open? Now plot the parabola with agraphing utility.105.Given is the parabola a.Solve the equation for y, and use a graphing utility to plot the parabola. b.Transform the equation into the form Find the vertex. Which way does the parabola open? c.Do (a) and (b) agree with each other?106.Given is the parabola a.Solve the equation for y, and use a graphing utility to plotthe parabola. b.Transform the equation into the formFind the vertex. Which way doesthe parabola open? c.Do (a) and (b) agree with each other?Section 11.3107.Graph the following three ellipses:and What can be said tohappen to ellipse as increases?108.Graph the following three ellipses:and What can be said tohappen to ellipse as increases?Section 11.4109.Graph the following three hyperbolas:and What can be said tohappen to hyperbola as increases?110.Graph the following three hyperbolas:and What can be said tohappen to hyperbola as increases?Section 11.5With a graphing utility, solve the following systems of equations.111.112.Section 11.6With a graphing utility, graph the following systems ofnonlinear inequalities.113.114.yÚexy1-x2x2+4y236yÚ10x-1x3y=3-3x34x2+2xy+3y2=12x2y=17.5x2+1.5y2=12.25cx2-4(cy)2=1x2-4(3y)2=1.x2-4(2y)2=1,x2-4y2=1,c4(cx)2-y2=14(3x)2-y2=1.4(2x)2-y2=1,4x2-y2=1,cx2+4(cy)2=1x2+4(3y)2=1.x2+4(2y)2=1,x2+4y2=1,c4(cx)2+y2=14(3x)2+y2=1.4(2x)2+y2=1,4x2+y2=1,(x-h)2=4p(y-k).

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• Summer '17
• juan alberto
• Arithmetic progression, Geometric progression, Conic section, general term, graphing utility