1 Preparation For Calculus 2 Limits And Their Properties 3 Differentiation 4 Applications Of Differentiation 5 Integration 6 Differential Equations 7 Applications Of Integration 8 Integration Techniques And Improper Integrals 9 Infinite Series 10 Conics, Parametric Equations, And Polar Coordinates 11 Vectors And The Geometry Of Space 12 Vector-valued Functions 13 Functions Of Several Variables 14 Multiple Integration 15 Vector Analysis expand_more
10.1 Conics And Calculus 10.2 Plane Curves And Parametric Equations 10.3 Parametric Equations And Calculus 10.4 Polar Coordinates And Polar Graphs 10.5 Area And Arc Length In Polar Coordinates 10.6 Polar Equations Of Conics And Kepler's Laws Chapter Questions expand_more
Problem 1E: Parametric Form of the Derivative What does the parametric form of the derivative represent? Problem 2E Problem 3E Problem 4E: Arc Length Why does the arc length formula require that the curve not intersect itself on an... Problem 5E: Finding a Derivative In Exercises 5-8, find dy/dx. x=t2,y=76t Problem 6E: Finding a Derivative x=t3,y=4t Problem 7E: Finding a Derivative dy/dx x=sin2,y=cos2 Problem 8E: Finding a Derivative dy/dx. x=2e,y=e/2 Problem 9E Problem 10E Problem 11E Problem 12E Problem 13E Problem 14E Problem 15E Problem 16E Problem 17E Problem 18E Problem 19E: Finding Equations of Tangent Lines In Exercises 19-22, find an equation of the tangent line to the... Problem 20E: Finding Equations of Tangent Lines In Exercises 19-22, find an equation of the tangent line to the... Problem 21E: Finding Equations of Tangent Lines In Exercises 19-22, find an equation of the tangent line to the... Problem 22E: Finding Equations of Tangent Lines In Exercises 19-22. find an equation of the tangent line to the... Problem 23E: Finding an Equation of a Tangent Line In Exercises 23-26. (a) use a graphing utility to graph the... Problem 24E: Finding an Equation of a Tangent Line In Exercises 23-26. (a) use a graphing utility to graph the... Problem 25E: Finding an Equation of a Tangent Line In Exercises 23-26. (a) use a graphing utility to graph the... Problem 26E Problem 27E Problem 28E Problem 29E: Finding Equations of Tangent Lines In Exercises 27-30, find the equations of the tangent lines at... Problem 30E Problem 31E Problem 32E Problem 33E: Horizontal and Vertical Tangency In Exercises 35-42, find all points (if any) of horizontal and... Problem 34E Problem 35E: Horizontal and Vertical Tangency In Exercises 33-42, find all points (if any) of horizontal and... Problem 36E: Horizontal and Vertical Tangency In Exercises 35-42, find all points (if any) of horizontal and... Problem 37E: Horizontal and Vertical Tangency In Exercises 35-42, find all points (if any) of horizontal and... Problem 38E: Horizontal and Vertical Tangency In Exercises 35-42, find all points (if any) of horizontal and... Problem 39E Problem 40E Problem 41E Problem 42E Problem 43E Problem 44E Problem 45E Problem 46E Problem 47E Problem 48E Problem 49E: Arc Length In Exercises 49-54, find the arc length of the curve on the given interval. Parametric... Problem 50E: Arc Length In Exercises 49-54, find the arc length of the curve on the given interval. Parametric... Problem 51E: Arc Length In Exercises 49-54, find the arc length of the curve on the given interval. Parametric... Problem 52E: Arc Length In Exercises 49-54, find the arc length of the curve on the given interval. Parametric... Problem 53E: Arc Length In Exercises 49-54, find the arc length of the curve on the given interval. Parametric... Problem 54E: Arc Length In Exercises 49-54, find the arc length of the curve on the given interval. Parametric... Problem 55E Problem 56E: Arc Length In Exercises 55-58, find the arc length of the curve on the interval [0,2]. Involute of a... Problem 57E Problem 58E Problem 59E Problem 60E Problem 61E Problem 62E Problem 63E: Surface Area In Exercises 63-68, find the area of the surface generated by revolving the curve about... Problem 64E: Surface Area In Exercises 63-68, find the area of the surface generated by revolving the curve about... Problem 65E: Surface Area In Exercises 63-68, find the area of the surface generated by revolving the curve about... Problem 66E: Surface Area In Exercises 63-68, find the area of the surface generated by revolving the curve about... Problem 67E Problem 68E: Surface Area In Exercises 63-68, find the area of the surface generated by revolving the curve about... Problem 69E Problem 70E Problem 71E Problem 72E: Surface Area In Exercises 69-72, write an integral that represents the area of the surface generated... Problem 73E Problem 74E Problem 75E Problem 76E: HOW DO YOU SEE IT? Using the graph of /. (a) determine whether dy/dt is positive or negative given... Problem 77E: Integration by Substitution Use integration by substitution to show that if y is a continuous... Problem 78E Problem 79E: Area In Exercises 79 and 80. find the area of the region. (Use the result of Exercise 77.)... Problem 80E Problem 81E Problem 82E Problem 83E: Areas of Simple Closed Curves In Exercises 81-86, use a computer algebra system and the result of... Problem 84E: Areas of Simple Closed Curves In Exercises 81-86, use a computer algebra system and the result of... Problem 85E: Areas of Simple Closed Curves In Exercises 81-86, use a computer algebra system and the result of... Problem 86E: Areas of Simple Closed Curves In Exercises 81-86, use a computer algebra system and the result of... Problem 87E: Centroid In Exercises 87 and 88. find the centroid of the region hounded by the graph of the... Problem 88E: Centroid In Exercises 87 and 88. find the centroid of the region hounded by the graph of the... Problem 89E: Volume In Exercises 89 and 90, find the volume of the solid formed by revolving the region bounded... Problem 90E Problem 91E Problem 92E Problem 93E Problem 94E Problem 95E Problem 96E Problem 97E Problem 98E Problem 99E Problem 100E format_list_bulleted