1 Limits And Continuity 2 The Derivative 3 Topics In Differentiation 4 The Derivative In Graphing And Applications 5 Integration 6 Applications Of The Definite Integral In Geometry, Science, And Engineering 7 Principles Of Integral Evaluation 8 Mathematical Modeling With Differential Equations 9 Infinite Series 10 Parametric And Polar Curves; Conic Sections 11 Three-dimensional Space; Vectors 12 Vector-valued Functions 13 Partial Derivatives 14 Multiple Integrals 15 Topics In Vector Calculus expand_more
11.1 Rectangular Coordinates In 3-space; Spheres; Cylindrical Surfaces 11.2 Vectors 11.3 Dot Product; Projections 11.4 Cross Product 11.5 Parametric Equations Of Lines 11.6 Planes In 3-space 11.7 Quadric Surfaces 11.8 Cylindrical And Spherical Coordinates Chapter Questions expand_more
Problem 1RE: (a) What is the difference between a vector and a scalar? Give a physical example of each. (b) How... Problem 2RE: (a) Sketch vectors u and v for which u+vanduv are orthogonal. (b) How can you use vectors to... Problem 3RE: (a) Draw a picture that shows the direction angles ,, and of a vector. (b) What are the components... Problem 4RE Problem 5RE: In each part, find an equation of the sphere with center 3,5,4 and satisfying the given condition.... Problem 6RE: Find the largest and smallest distances between the point P1,1,1 and the sphere x2+y2+z22y+6z6=0 Problem 7RE Problem 8RE: Let u=3,5,1andv=2,2,3. Find a2u+5vb1vvcuduv. Problem 9RE Problem 10RE Problem 11RE Problem 12RE: Let r0=x0,y0,z0andr=x,y,z. Describe the set of all points x,y,z for which arr0=0brr0r0=0. Problem 13RE Problem 14RE: Assuming that force is in pounds and distance is in feet, find the work done by a constant force... Problem 15RE: (a) Find the area of the triangle with vertices A1,0,1,B0,2,3,andC2,1,0. (b) Use the result in part... Problem 16RE: True or false? Explain your reasoning.... Problem 17RE Problem 18RE Problem 19RE Problem 20RE Problem 21RE Problem 22RE Problem 23RE Problem 24RE Problem 25RE Problem 26RE Problem 27RE: What condition must the constants satisfy for the planes a1x+b1y+c1z=d1anda2x+b2y+c2z=d2 to be... Problem 28RE Problem 29RE: In each part, identify the surface by completing the squares.... Problem 30RE Problem 31RE: In each part, express the equation in rectangular coordinates. az=r2cos2b2sincoscos=1 Problem 32RE: Sketch the solid in 3-space that is described in cylindrical coordinates by the stated inequalities.... Problem 33RE: Sketch the solid in 3-space that is described in cylindrical coordinates by the stated inequalities.... Problem 34RE: Sketch the solid in 3-space that is described in spherical coordinates by the stated inequalities.... Problem 35RE: Sketch the solid in 3-space that is described in spherical coordinates by the stated inequalities.... Problem 36RE: Sketch the surface whose equation in spherical coordinates is =a1cos. Problem 1MC Problem 2MC Problem 3MC Problem 4MC Problem 5MC Problem 6MC format_list_bulleted