Solutions for Calculus Volume 3
Problem 62E:
For the following exercises, each set of parametric equations represents a line. Without eliminating...Problem 63E:
For the following exercises, each set of parametric equations represents a line. Without eliminating...Problem 64E:
For the following exercises, each set of parametric equations represents a line. Without eliminating...Problem 65E:
For the following exercises, each set of parametric equations represents a line. Without eliminating...Problem 66E:
For the following exercises, determine the slope of the tangent line, then find the equation of the...Problem 67E:
For the following exercises, determine the slope of the tangent line, then find the equation of the...Problem 68E:
For the following exercises, determine the slope of the tangent line, then find the equation of the...Problem 69E:
For the following exercises, determine the slope of the tangent line, then find the equation of the...Problem 70E:
For the following exercises, determine the slope of the tangent line, then find the equation of the...Problem 71E:
For the following exercises, find all points on the curve that have the given slope. 71....Problem 72E:
For the following exercises, find all points on the curve that have the given slope. 72....Problem 73E:
For the following exercises, find all points on the curve that have the given slope. 73....Problem 74E:
For the following exercises, find all points on the curve that have the given slope. 74....Problem 75E:
For the following exercises, write the equation of the tangent line in Cartesian coordinates for the...Problem 76E:
For the following exercises, write the equation of the tangent line in Cartesian coordinates for the...Problem 77E:
For the following exercises, write the equation of the tangent line in Cartesian coordinates for the...Problem 78E:
For the following exercises, write the equation of the tangent line in Cartesian coordinates for the...Problem 79E:
For the following exercises, write the equation of the tangent line in Cartesian coordinates for the...Problem 80E:
For the following exercises, write the equation of the tangent line in Cartesian coordinates for the...Problem 81E:
For the following exercises, write the equation of the tangent line in Cartesian coordinates for the...Problem 82E:
For the following exercises, write the equation of the tangent line in Cartesian coordinates for the...Problem 83E:
For the following exercises, write the equation of the tangent line in Cartesian coordinates for the...Problem 84E:
For the following exercises, write the equation of the tangent line in Cartesian coordinates for the...Problem 85E:
For the following exercises, write the equation of the tangent line in Cartesian coordinates for the...Problem 86E:
For the following exercises, write the equation of the tangent line in Cartesian coordinates for the...Problem 87E:
For the following exercises, write the equation of the tangent line in Cartesian coordinates for the...Problem 91E:
For the following exercises, find points on the curve at which tangent line is horizontal or...Problem 92E:
For the following exercises, find points on the curve at which tangent line is horizontal or...Problem 93E:
For the following exercises, find dy/dx at the value of the parameter. 93. x=cost,y=sint,t=34Problem 94E:
For the following exercises, find dy/dx at the value of the parameter. 94. x=t,y=2t+4,t=9Problem 96E:
For the following exercises, find d2y/dx2 at the given point without eliminating the parameter. 96....Problem 97E:
For the following exercises, find d2y/dx2 at the given point without eliminating the parameter. 97....Problem 98E:
For the following exercises, find d2y/dx2 at the given point without eliminating the parameter. 98....Problem 99E:
For the following exercises, find d2y/dx2 at the given point without eliminating the parameter. 99....Problem 100E:
For the following exercises, find d2y/dx2 at the given point without eliminating the parameter. 100....Problem 101E:
For the following exercises, find d2y/dx2 at the given point without eliminating the parameter. 101....Problem 102E:
For the following exercises, find d2y/dx2 at the given point without eliminating the parameter. 102....Problem 103E:
For the following exercises, find d2y/dx2 at the given point without eliminating the parameter. 103....Problem 104E:
For the following exercises, find the area of the regions bounded by the parametric curves and the...Problem 105E:
For the following exercises, find the area of the regions bounded by the parametric curves and the...Problem 106E:
For the following exercises, find the area of the regions bounded by the parametric curves and the...Problem 107E:
For the following exercises, find the area of the regions bounded by the parametric curves and the...Problem 108E:
For the following exercises, find the arc length of the curve on the indicated interval of the...Problem 109E:
For the following exercises, find the arc length of the curve on the indicated interval of the...Problem 110E:
For the following exercises, find the arc length of the curve on the indicated interval of the...Problem 111E:
For the following exercises, find the arc length of the curve on the indicated interval of the...Problem 112E:
For the following exercises, find the arc length of the curve on the indicated interval of the...Problem 113E:
For the following exercises, find the arc length of the curve on the indicated interval of the...Problem 114E:
For the following exercises, find the arc length of the curve on the indicated interval of the...Problem 115E:
For the following exercises, find the arc length of the curve on the indicated interval of the...Problem 116E:
For the following exercises, find the arc length of the curve on the indicated interval of the...Problem 117E:
For the following exercises, find the arc length of the curve on the indicated interval of the...Problem 118E:
For the following exercises, find the arc length of the curve on the indicated interval of the...Problem 119E:
For the following exercises, find the area of the surface obtained by rotating the given curve about...Problem 120E:
For the following exercises, find the area of the surface obtained by rotating the given curve about...Problem 121E:
For the following exercises, find the area of the surface obtained by rotating the given curve about...Problem 122E:
For the following exercises, find the area of the surface obtained by rotating the given curve about...Browse All Chapters of This Textbook
Chapter 1 - Parametric Equations And Polar CoordinatesChapter 1.1 - Parametric EquationsChapter 1.2 - Calculus Of Parametric CurvesChapter 1.3 - Polar CoordinatesChapter 1.4 - Area And Arc Length In Polar CoordinatesChapter 1.5 - Conic SectionsChapter 2 - Vectors In SpaceChapter 2.1 - Vectors In The PlaneChapter 2.2 - Vectors In Three DimensionsChapter 2.3 - The Dot Product
Chapter 2.4 - The Cross ProductChapter 2.5 - Equations Of Lines And Planes In SpaceChapter 2.6 - Quadric SurfacesChapter 2.7 - Cylindrical And Spherical CoordinatesChapter 3 - Vector-valued FunctionsChapter 3.1 - Vector-valued Functions And Space CurvesChapter 3.2 - Calculus Of Vector-valued FunctionsChapter 3.3 - Arc Length And CurvatureChapter 3.4 - Motion In SpaceChapter 4 - Differentiation Of Functions Of Several VariablesChapter 4.1 - Functions Of Several VariablesChapter 4.2 - Limits And ContinuityChapter 4.3 - Partial DerivativesChapter 4.4 - Tangent Planes And Linear ApproximationsChapter 4.5 - The Chain RuleChapter 4.6 - Directional Derivatives And The GradientChapter 4.7 - Maxima/minima ProblemsChapter 4.8 - Lagrange MultipliersChapter 5 - Multiple IntegrationChapter 5.1 - Double Integrals Over Rectangular RegionsChapter 5.2 - Double Integrals Over General RegionsChapter 5.3 - Double Integrals In Polar CoordinatesChapter 5.4 - Triple IntegralsChapter 5.5 - Triple Integrals In Cylindrical And Spherical CoordinatesChapter 5.6 - Calculating Centers Of Mass And Moments Of InertiaChapter 5.7 - Change Of Variables In Multiple IntegralsChapter 6 - Vector CalculusChapter 6.1 - Vector FieldsChapter 6.2 - Line IntegralsChapter 6.3 - Conservative Vector FieldsChapter 6.4 - Green's TheoremChapter 6.5 - Divergence And CurlChapter 6.6 - Surface IntegralsChapter 6.7 - Stokes' TheoremChapter 6.8 - The Divergence TheoremChapter 7 - Second-order Differential EquationsChapter 7.1 - Second-order Linear EquationsChapter 7.2 - Nonhomogeneous Linear EquationsChapter 7.3 - ApplicationsChapter 7.4 - Series Solutions Of Differential Equations
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