R Review Of Prerequisites 1 Functions And Relations 2 Polynomial And Rational Functions 3 Exponential And Logarithmic Functions 4 Trigonometric Functions 5 Analytic Trigonometry 6 Applications Of Trigonometric Functions 7 Trigonometry Applied To Polar Coordinate Systems And Vectors 8 Systems Of Equations And Inequalities 9 Matrices And Determinants And Applications 10 Analytic Geometry 11 Sequences, Series, Induction, And Probability expand_more
10.1 The Ellipse 10.2 The Hyperbola 10.3 The Parabola 10.4 Rotation Of Axes 10.5 Polar Equations Of Conics 10.6 Plane Curves And Parametric Equations Chapter Questions expand_more
Problem 1SP Problem 2SP: Repeat Example 2 with the equations x=t1 and y=t1 . Problem 3SP: Repeat Example 3 with the equations x=4cos and y=4sin . Problem 4SP: Write parametric equations for the curve defined by y=2x3 with the given definition for x . a. x=t... Problem 5SP: Repeat Example 5 with an ant that begins at A72,10 and walks to B20,36 in 13sec . Problem 6SP: Repeat Example 6 with a cannon ball launched from a cannon at an initial height of 1m , at an angle... Problem 1PE: If f and g are continuous functions of t over an interval l, then the set of points ft,gt is called... Problem 2PE Problem 3PE: Identify the endpoints of the curve defined by x=3t and y=2t+1 on the interval 2t1 . Problem 4PE: Suppose that an object travels along a straight path in a rectangular coordinate system with units... Problem 5PE Problem 6PE Problem 7PE: For Exercises 7-10, sketch the plane curve by plotting points. Indicate the orientation of the... Problem 8PE: For Exercises 7-10, sketch the plane curve by plotting points. Indicate the orientation of the... Problem 9PE Problem 10PE: For Exercises 7-10, sketch the plane curve by plotting points. Indicate the orientation of the... Problem 11PE: For Exercises 11-26, a. Eliminate the parameter and write an equation in rectangular coordinates. b.... Problem 12PE: For Exercises 11-26, a. Eliminate the parameter and write an equation in rectangular coordinates. b.... Problem 13PE: For Exercises 11-26, a. Eliminate the parameter and write an equation in rectangular coordinates. b.... Problem 14PE: For Exercises 11-26, a. Eliminate the parameter and write an equation in rectangular coordinates. b.... Problem 15PE Problem 16PE: For Exercises 11-26, a. Eliminate the parameter and write an equation in rectangular coordinates. b.... Problem 17PE Problem 18PE: For Exercises 11-26, a. Eliminate the parameter and write an equation in rectangular coordinates. b.... Problem 19PE Problem 20PE: For Exercises 11-26, a. Eliminate the parameter and write an equation in rectangular coordinates. b.... Problem 21PE Problem 22PE Problem 23PE Problem 24PE Problem 25PE Problem 26PE Problem 27PE Problem 28PE Problem 29PE Problem 30PE: For Exercises 27-30, eliminate the parameter and write an equation in rectangular coordinates to... Problem 31PE Problem 32PE: For Exercises 31-34, write parametric equations for the given curve for the given definitions of x .... Problem 33PE Problem 34PE: For Exercises 31-34, write parametric equations for the given curve for the given definitions of x .... Problem 35PE Problem 36PE Problem 37PE: For Exercises 35-42, use the results of Exercises 27-30 and use the parameter t to write parametric... Problem 38PE Problem 39PE: For Exercises 35-42, use the results of Exercises 27-30 and use the parameter t to write parametric... Problem 40PE: For Exercises 35-42, use the results of Exercises 27-30 and use the parameter t to write parametric... Problem 41PE: For Exercises 35-42, use the results of Exercises 27-30 and use the parameter t to write parametric... Problem 42PE: For Exercises 35-42, use the results of Exercises 27-30 and use the parameter t to write parametric... Problem 43PE: For Exercises 43-46, write parametric equations on a restricted interval for t to define the given... Problem 44PE: For Exercises 43-46, write parametric equations on a restricted interval for t to define the given... Problem 45PE: For Exercises 43-46, write parametric equations on a restricted interval for t to define the given... Problem 46PE: For Exercises 43-46, write parametric equations on a restricted interval for t to define the given... Problem 47PE: For Exercises 47-48, an object undergoes uniform linear motion on a straight path from point A to... Problem 48PE Problem 49PE Problem 50PE: A hospital is located 3mi west and 4mi north of the center of town. Suppose that a Medi-Vac... Problem 51PE Problem 52PE: A golfer tees off on level ground, and hits the ball with an initial speed of 52m/sec at an angle of... Problem 53PE: Anna hits a softball at a height of 3ft from the ground. The softball leaves her bat traveling with... Problem 54PE: Tony hits a baseball at a height of 3ft from the ground. The ball leaves his bat traveling with an... Problem 55PE Problem 56PE: Two planes flying at the same altitude are on a course to fly over a control tower. Plane A is 50mi... Problem 57PE: Suppose that a mortar is fired from ground level at an angle of 45 with an initial speed of... Problem 58PE Problem 59PE Problem 60PE Problem 61PE Problem 62PE: For Exercises 61-62, describe the differences in the graphs of C1 through C3 . C1:x=t and y=25t2... Problem 63PE: Do the parametric equations x=t and y=t+5 define a parabola? Why or why not? Problem 64PE: Is the point 16,12 on the curve defined by x=2t and y=t+1 ? Why or why not? Problem 65PE: For a short interval of time, a military supply plane flies on a hyperbolic path given by the... Problem 66PE Problem 67PE: Suppose that an imaginary string of unlimited length is attached to a point on a circle and pulled... Problem 68PE: For Exercises 68-70, use a graphing utility to graph the given curve on the recommended viewing... Problem 69PE Problem 70PE Problem 71PE: A cycloid is a curve created by rolling a circle along a line. We can also create families of curves... Problem 72PE: A cycloid is a curve created by rolling a circle along a line. We can also create families of curves... Problem 73PE: If a circle of radius r rolls around the exterior of a circle of radius Rr, a fixed point on the... Problem 74PE: If a circle of radius r rolls around the exterior of a circle of radius Rr, a fixed point on the... format_list_bulleted