Calculus
11th Edition
ISBN: 9781337275576
Author: Larson, Ron, Edwards, Bruce
Publisher: Cengage Learning,
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Textbook Question
Chapter 11, Problem 16PS
Latitude-Longitude SystemLos Angeles is located at 34.05° North latitude and 118.24° West longitude, and Rio de Janeiro, Brazil, is located at 22.90° South latitude and 43.23° West longitude (see figure). Assume that Earth is spherical and has a radius of 4000 miles.
(a) Find the spherical coordinates for the location of each city.
(b) Find the rectangular coordinates for the location of each city.
(c) Find the angle (in radians) between the
(d) Find the great-circle distance
(e) Repeat parts (a)–(d) for the cities of Boston, located at 42.36° North latitude and 71.06° West longitude, and Honolulu, located at 21.31° North latitude and 157.86° West longitude.
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Chapter 11 Solutions
Calculus
Ch. 11.1 - CONCEPT CHECK Scalar and Vector Describe the...Ch. 11.1 - Prob. 2ECh. 11.1 - Sketching a Vector In Exercises 3 and 4, (a) find...Ch. 11.1 - Prob. 4ECh. 11.1 - Prob. 5ECh. 11.1 - Prob. 6ECh. 11.1 - Prob. 7ECh. 11.1 - Prob. 8ECh. 11.1 - Prob. 9ECh. 11.1 - Writing a Vector in Different Forms In Exercises...
Ch. 11.1 - Prob. 11ECh. 11.1 - Prob. 12ECh. 11.1 - Prob. 13ECh. 11.1 - Prob. 14ECh. 11.1 - Prob. 15ECh. 11.1 - Prob. 16ECh. 11.1 - Prob. 17ECh. 11.1 - Prob. 18ECh. 11.1 - Prob. 19ECh. 11.1 - Prob. 20ECh. 11.1 - Prob. 21ECh. 11.1 - Prob. 22ECh. 11.1 - Prob. 23ECh. 11.1 - Prob. 24ECh. 11.1 - Sketching Scalar MultipliesIn Exercises 25 and 26,...Ch. 11.1 - Prob. 26ECh. 11.1 - Prob. 27ECh. 11.1 - Prob. 28ECh. 11.1 - Prob. 29ECh. 11.1 - Prob. 30ECh. 11.1 - Prob. 31ECh. 11.1 - Prob. 32ECh. 11.1 - Prob. 33ECh. 11.1 - Prob. 34ECh. 11.1 - Prob. 35ECh. 11.1 - Finding a Unit Vector In Exercises 35-38, find the...Ch. 11.1 - Prob. 37ECh. 11.1 - Prob. 38ECh. 11.1 - Finding MagnitudesIn Exercises 3942, find the...Ch. 11.1 - Finding Magnitudes In Exercises 39-42, find the...Ch. 11.1 - Prob. 41ECh. 11.1 - Prob. 42ECh. 11.1 - Prob. 43ECh. 11.1 - Prob. 44ECh. 11.1 - Prob. 45ECh. 11.1 - Prob. 46ECh. 11.1 - Prob. 47ECh. 11.1 - Prob. 48ECh. 11.1 - Prob. 49ECh. 11.1 - Prob. 50ECh. 11.1 - Prob. 51ECh. 11.1 - Prob. 52ECh. 11.1 - Finding a Vector In Exercises 53-56, find the...Ch. 11.1 - Prob. 54ECh. 11.1 - Prob. 55ECh. 11.1 - Prob. 56ECh. 11.1 - Prob. 57ECh. 11.1 - Prob. 58ECh. 11.1 - Prob. 59ECh. 11.1 - Prob. 60ECh. 11.1 - Finding Values In Exercises 61-66, And a and b...Ch. 11.1 - Prob. 62ECh. 11.1 - Prob. 63ECh. 11.1 - Prob. 64ECh. 11.1 - Prob. 65ECh. 11.1 - Prob. 66ECh. 11.1 - Prob. 67ECh. 11.1 - Prob. 68ECh. 11.1 - Prob. 69ECh. 11.1 - Prob. 70ECh. 11.1 - Finding Unit Vectors In Exercises 67-72, find a...Ch. 11.1 - Prob. 72ECh. 11.1 - Finding a Vector In Exercises 73 and 74, find the...Ch. 11.1 - Prob. 74ECh. 11.1 - Prob. 75ECh. 11.1 - Numerical and Graphical Analysis Forces with...Ch. 11.1 - Prob. 77ECh. 11.1 - Prob. 78ECh. 11.1 - Cable Tension In Exercises 79 and 80, determine...Ch. 11.1 - Cable TensionIn Exercises 79 and 80, determine the...Ch. 11.1 - Projectile Motion A gun with a muzzle velocity of...Ch. 11.1 - Prob. 82ECh. 11.1 - Navigation A plane is flying with a bearing of...Ch. 11.1 - NavigationA plane flies at a constant groundspeed...Ch. 11.1 - Prob. 85ECh. 11.1 - Prob. 86ECh. 11.1 - Prob. 87ECh. 11.1 - Prob. 88ECh. 11.1 - Prob. 89ECh. 11.1 - Prob. 90ECh. 11.1 - Prob. 91ECh. 11.1 - Prob. 92ECh. 11.1 - Prob. 93ECh. 11.1 - Prob. 94ECh. 11.1 - Prob. 95ECh. 11.1 - Prob. 96ECh. 11.1 - Prob. 97ECh. 11.1 - Prob. 98ECh. 11.1 - Prob. 99ECh. 11.1 - Prob. 100ECh. 11.2 - CONCEPT CHECK Describing Coordinates A point in...Ch. 11.2 - Prob. 2ECh. 11.2 - Prob. 3ECh. 11.2 - Prob. 4ECh. 11.2 - Prob. 5ECh. 11.2 - Prob. 6ECh. 11.2 - Prob. 7ECh. 11.2 - Prob. 8ECh. 11.2 - Prob. 9ECh. 11.2 - Prob. 10ECh. 11.2 - Finding Coordinates of a PointIn Exercises 912,...Ch. 11.2 - Prob. 12ECh. 11.2 - Prob. 13ECh. 11.2 - Prob. 14ECh. 11.2 - Prob. 15ECh. 11.2 - Prob. 16ECh. 11.2 - Prob. 17ECh. 11.2 - Prob. 18ECh. 11.2 - Prob. 19ECh. 11.2 - Prob. 20ECh. 11.2 - Prob. 21ECh. 11.2 - Prob. 22ECh. 11.2 - Prob. 23ECh. 11.2 - Prob. 24ECh. 11.2 - Prob. 25ECh. 11.2 - Prob. 26ECh. 11.2 - Prob. 27ECh. 11.2 - Prob. 28ECh. 11.2 - Classifying a TriangleIn Exercises 2932, find the...Ch. 11.2 - Prob. 30ECh. 11.2 - Prob. 31ECh. 11.2 - Prob. 32ECh. 11.2 - Finding the Midpoint In Exercises 33-36, find the...Ch. 11.2 - Prob. 34ECh. 11.2 - Prob. 35ECh. 11.2 - Prob. 36ECh. 11.2 - Prob. 37ECh. 11.2 - Prob. 38ECh. 11.2 - Prob. 39ECh. 11.2 - Prob. 40ECh. 11.2 - Prob. 41ECh. 11.2 - Prob. 42ECh. 11.2 - Finding the Equation of a SphereIn Exercises 4346,...Ch. 11.2 - Finding the Equation of a SphereIn Exercises 4346,...Ch. 11.2 - Finding the Equation of a SphereIn Exercises 4346,...Ch. 11.2 - Finding the Equation of a Sphere In Exercises...Ch. 11.2 - Prob. 47ECh. 11.2 - Prob. 48ECh. 11.2 - Prob. 49ECh. 11.2 - Prob. 50ECh. 11.2 - Finding the Component Form of a Vector in SpaceIn...Ch. 11.2 - Prob. 52ECh. 11.2 - Prob. 53ECh. 11.2 - Prob. 54ECh. 11.2 - Prob. 55ECh. 11.2 - Prob. 56ECh. 11.2 - Prob. 57ECh. 11.2 - Prob. 58ECh. 11.2 - Prob. 59ECh. 11.2 - Prob. 60ECh. 11.2 - Prob. 61ECh. 11.2 - Prob. 62ECh. 11.2 - Prob. 63ECh. 11.2 - Prob. 64ECh. 11.2 - Prob. 65ECh. 11.2 - Prob. 66ECh. 11.2 - Prob. 67ECh. 11.2 - Prob. 68ECh. 11.2 - Prob. 69ECh. 11.2 - Prob. 70ECh. 11.2 - Prob. 71ECh. 11.2 - Prob. 72ECh. 11.2 - Prob. 73ECh. 11.2 - Prob. 74ECh. 11.2 - Prob. 75ECh. 11.2 - Prob. 76ECh. 11.2 - Prob. 77ECh. 11.2 - Prob. 78ECh. 11.2 - Prob. 79ECh. 11.2 - Prob. 80ECh. 11.2 - Prob. 81ECh. 11.2 - Prob. 82ECh. 11.2 - Prob. 83ECh. 11.2 - Prob. 84ECh. 11.2 - Prob. 85ECh. 11.2 - Prob. 86ECh. 11.2 - Prob. 87ECh. 11.2 - Sketching a Vector In Exercises 87 und 88, sketch...Ch. 11.2 - Prob. 89ECh. 11.2 - Prob. 90ECh. 11.2 - Prob. 91ECh. 11.2 - Prob. 92ECh. 11.2 - Prob. 93ECh. 11.2 - Prob. 94ECh. 11.2 - Prob. 95ECh. 11.2 - Prob. 96ECh. 11.2 - Prob. 97ECh. 11.2 - Prob. 98ECh. 11.2 - Auditorium Lights The lights in an auditorium are...Ch. 11.2 - Prob. 100ECh. 11.2 - Load Supports Find the tension in each of the...Ch. 11.2 - Prob. 102ECh. 11.2 - Prob. 103ECh. 11.3 - Prob. 1ECh. 11.3 - Prob. 2ECh. 11.3 - Finding Dot ProductsIn Exercises 310, find (a) uv...Ch. 11.3 - Prob. 4ECh. 11.3 - Prob. 5ECh. 11.3 - Prob. 6ECh. 11.3 - Prob. 7ECh. 11.3 - Prob. 8ECh. 11.3 - Prob. 9ECh. 11.3 - Prob. 10ECh. 11.3 - Prob. 11ECh. 11.3 - Finding the Angle Between Two Vectors In Exercises...Ch. 11.3 - Finding the Angle Between Two Vectors In Exercises...Ch. 11.3 - Prob. 14ECh. 11.3 - Finding the Angle Between Two Vectors In Exercises...Ch. 11.3 - Finding the Angle Between Two Vectors In Exercises...Ch. 11.3 - Prob. 17ECh. 11.3 - Prob. 18ECh. 11.3 - Prob. 19ECh. 11.3 - Prob. 20ECh. 11.3 - Comparing VectorsIn Exercises 2126, determine...Ch. 11.3 - Prob. 22ECh. 11.3 - Prob. 23ECh. 11.3 - Comparing VectorsIn Exercises 2126, determine...Ch. 11.3 - Comparing VectorsIn Exercises 2126, determine...Ch. 11.3 - Prob. 26ECh. 11.3 - Prob. 27ECh. 11.3 - Prob. 28ECh. 11.3 - Prob. 29ECh. 11.3 - Prob. 30ECh. 11.3 - Prob. 31ECh. 11.3 - Prob. 32ECh. 11.3 - Prob. 33ECh. 11.3 - Prob. 34ECh. 11.3 - Prob. 35ECh. 11.3 - Prob. 36ECh. 11.3 - Prob. 37ECh. 11.3 - Finding the Projection of u onto v In Exercises...Ch. 11.3 - Prob. 39ECh. 11.3 - Prob. 40ECh. 11.3 - Prob. 41ECh. 11.3 - Prob. 42ECh. 11.3 - Prob. 43ECh. 11.3 - Prob. 44ECh. 11.3 - Prob. 45ECh. 11.3 - Projection What can be said about the vectors u...Ch. 11.3 - Projection When the projection of u onto v has the...Ch. 11.3 - Prob. 48ECh. 11.3 - Revenue The vector u= 3240,1450,2235 gives the...Ch. 11.3 - RevenueRepeat Exercises 49 after decreasing the...Ch. 11.3 - Prob. 51ECh. 11.3 - Prob. 52ECh. 11.3 - Prob. 53ECh. 11.3 - Prob. 54ECh. 11.3 - Prob. 55ECh. 11.3 - Prob. 56ECh. 11.3 - Prob. 57ECh. 11.3 - Prob. 58ECh. 11.3 - Prob. 59ECh. 11.3 - Prob. 60ECh. 11.3 - Prob. 61ECh. 11.3 - Prob. 62ECh. 11.3 - Prob. 63ECh. 11.3 - Prob. 64ECh. 11.3 - Prob. 65ECh. 11.3 - Prob. 66ECh. 11.3 - Prob. 67ECh. 11.3 - Prob. 68ECh. 11.3 - Proof Use vectors to prove that the diagonals of a...Ch. 11.3 - Proof Use vectors to prove that a parallelogram is...Ch. 11.3 - Bond AngleConsider a regular tetrahedron with...Ch. 11.3 - Prob. 72ECh. 11.3 - Prob. 73ECh. 11.3 - Prob. 74ECh. 11.3 - Proof Prove the Cauchy-Schwarz Inequality, uv u v...Ch. 11.4 - CONCEPT CHECK Vectors Explain what uv represents...Ch. 11.4 - CONCEPT CHECK Area Explain how to find the area of...Ch. 11.4 - Prob. 3ECh. 11.4 - Prob. 4ECh. 11.4 - Prob. 5ECh. 11.4 - Prob. 6ECh. 11.4 - Prob. 7ECh. 11.4 - Prob. 8ECh. 11.4 - Prob. 9ECh. 11.4 - Prob. 10ECh. 11.4 - Prob. 11ECh. 11.4 - Prob. 12ECh. 11.4 - Prob. 13ECh. 11.4 - Prob. 14ECh. 11.4 - Prob. 15ECh. 11.4 - Prob. 16ECh. 11.4 - Prob. 17ECh. 11.4 - Prob. 18ECh. 11.4 - Prob. 19ECh. 11.4 - Prob. 20ECh. 11.4 - Prob. 21ECh. 11.4 - Prob. 22ECh. 11.4 - Prob. 23ECh. 11.4 - Area In Exercises 23 and 24, verify that the...Ch. 11.4 - Prob. 25ECh. 11.4 - Prob. 26ECh. 11.4 - Torque The brakes on a bicycle are applied using a...Ch. 11.4 - Prob. 28ECh. 11.4 - Optimization A force of 180 pounds acts on the...Ch. 11.4 - Optimization A force of 56 pounds acts on the pipe...Ch. 11.4 - Prob. 31ECh. 11.4 - Prob. 32ECh. 11.4 - Prob. 33ECh. 11.4 - Prob. 34ECh. 11.4 - Volume In Exercises 35 and 36, use t triple scalar...Ch. 11.4 - Volume In Exercises 35 and 36, use t triple scalar...Ch. 11.4 - Volume In Exercises 37 and 38, find the volume of...Ch. 11.4 - Volume In Exercises 37 and 38, find the volume of...Ch. 11.4 - Prob. 39ECh. 11.4 - Prob. 40ECh. 11.4 - Prob. 41ECh. 11.4 - Prob. 42ECh. 11.4 - Prob. 43ECh. 11.4 - Prob. 44ECh. 11.4 - Prob. 45ECh. 11.4 - Prob. 46ECh. 11.4 - Prob. 47ECh. 11.4 - Prob. 48ECh. 11.4 - Prob. 49ECh. 11.4 - Prob. 50ECh. 11.4 - Proof In Exercises 47-52, prove the property of...Ch. 11.4 - Prob. 52ECh. 11.4 - Proof Prove that uv=uv if u and v are orthogonal.Ch. 11.4 - Prob. 54ECh. 11.4 - Prob. 55ECh. 11.5 - CONCEPT CHECK Parametric and Symmetric...Ch. 11.5 - Prob. 2ECh. 11.5 - Prob. 3ECh. 11.5 - CONCEPT CHECK Parallel Planes Explain how to find...Ch. 11.5 - Prob. 5ECh. 11.5 - Prob. 6ECh. 11.5 - Prob. 7ECh. 11.5 - Prob. 8ECh. 11.5 - Prob. 9ECh. 11.5 - Finding Parametric and Symmetric Equations In...Ch. 11.5 - Prob. 11ECh. 11.5 - Prob. 12ECh. 11.5 - Prob. 13ECh. 11.5 - Prob. 14ECh. 11.5 - Finding Parametric and Symmetric Equations In...Ch. 11.5 - Prob. 16ECh. 11.5 - Prob. 17ECh. 11.5 - Prob. 18ECh. 11.5 - Prob. 19ECh. 11.5 - Prob. 20ECh. 11.5 - Prob. 21ECh. 11.5 - Prob. 22ECh. 11.5 - Prob. 23ECh. 11.5 - Prob. 24ECh. 11.5 - Prob. 25ECh. 11.5 - Prob. 26ECh. 11.5 - Prob. 27ECh. 11.5 - Prob. 28ECh. 11.5 - Determining Parallel Lines In Exercises 29-32,...Ch. 11.5 - Determining Parallel Lines In Exercises 29-32,...Ch. 11.5 - Prob. 31ECh. 11.5 - Determining Parallel Lines In Exercises 29-32,...Ch. 11.5 - Finding a Point of IntersectionIn Exercises 3336,...Ch. 11.5 - Prob. 34ECh. 11.5 - Prob. 35ECh. 11.5 - Prob. 36ECh. 11.5 - Prob. 37ECh. 11.5 - Prob. 38ECh. 11.5 - Prob. 39ECh. 11.5 - Finding an Equation of a PlaneIn Exercises 3944,...Ch. 11.5 - Finding an Equation of a PlaneIn Exercises 3944,...Ch. 11.5 - Prob. 42ECh. 11.5 - Prob. 43ECh. 11.5 - Finding an Equation of a PlaneIn Exercises 3944,...Ch. 11.5 - Finding an Equation of a PlaneIn Exercises 4556,...Ch. 11.5 - Finding an Equation of a PlaneIn Exercises 4556,...Ch. 11.5 - Finding an Equation of a PlaneIn Exercises 4556,...Ch. 11.5 - Finding an Equation of a PlaneIn Exercises 4556,...Ch. 11.5 - Finding an Equation of a PlaneIn Exercises 4556,...Ch. 11.5 - Finding an Equation of a PlaneIn Exercises 4556,...Ch. 11.5 - Finding an Equation of a PlaneIn Exercises 4556,...Ch. 11.5 - Finding an Equation of a PlaneIn Exercises 4556,...Ch. 11.5 - Finding an Equation of a PlaneIn Exercises 4556,...Ch. 11.5 - Finding an Equation of a PlaneIn Exercises 4556,...Ch. 11.5 - Finding an Equation of a PlaneIn Exercises 4556,...Ch. 11.5 - Finding an Equation of a PlaneIn Exercises 4556,...Ch. 11.5 - Finding an Equation of a PlaneIn Exercises 5760,...Ch. 11.5 - Prob. 58ECh. 11.5 - Prob. 59ECh. 11.5 - Prob. 60ECh. 11.5 - Prob. 61ECh. 11.5 - Prob. 62ECh. 11.5 - Parallel PlanesIn Exercises 6164, determine...Ch. 11.5 - Prob. 64ECh. 11.5 - Intersection of PlanesIn Exercises 6568, (a) find...Ch. 11.5 - Intersection of PlanesIn Exercises 6568, (a) find...Ch. 11.5 - Intersection of PlanesIn Exercises 6568, (a) find...Ch. 11.5 - Prob. 68ECh. 11.5 - Prob. 69ECh. 11.5 - Prob. 70ECh. 11.5 - Prob. 71ECh. 11.5 - Prob. 72ECh. 11.5 - Prob. 73ECh. 11.5 - Prob. 74ECh. 11.5 - Prob. 75ECh. 11.5 - Prob. 76ECh. 11.5 - Prob. 77ECh. 11.5 - Prob. 78ECh. 11.5 - Prob. 79ECh. 11.5 - Prob. 80ECh. 11.5 - Prob. 81ECh. 11.5 - Prob. 82ECh. 11.5 - Intersection of a Plane and a LineIn Exercises...Ch. 11.5 - Prob. 84ECh. 11.5 - Prob. 85ECh. 11.5 - Prob. 86ECh. 11.5 - Prob. 87ECh. 11.5 - Prob. 88ECh. 11.5 - Prob. 89ECh. 11.5 - Prob. 90ECh. 11.5 - Prob. 91ECh. 11.5 - Prob. 92ECh. 11.5 - Prob. 93ECh. 11.5 - Finding the Distance Between Two Parallel PlanesIn...Ch. 11.5 - Prob. 95ECh. 11.5 - Prob. 96ECh. 11.5 - Prob. 97ECh. 11.5 - Prob. 98ECh. 11.5 - Prob. 99ECh. 11.5 - Prob. 100ECh. 11.5 - EXPLORING CONCEPTS PlanesConsider a line and a...Ch. 11.5 - Prob. 102ECh. 11.5 - Prob. 103ECh. 11.5 - HOW DO YOU SEE IT? Match the general equation with...Ch. 11.5 - Prob. 105ECh. 11.5 - Mechanical Design The figure shows a chute at the...Ch. 11.5 - DistanceTwo insects are crawling along different...Ch. 11.5 - Prob. 108ECh. 11.5 - Finding a Point of IntersectionFind the point of...Ch. 11.5 - Prob. 110ECh. 11.5 - Finding Parametric EquationsFind a set of...Ch. 11.5 - Prob. 112ECh. 11.5 - Prob. 113ECh. 11.5 - True or False? In Exercises 113118, determine...Ch. 11.5 - Prob. 115ECh. 11.5 - Prob. 116ECh. 11.5 - Prob. 117ECh. 11.5 - Prob. 118ECh. 11.6 - Prob. 1ECh. 11.6 - Prob. 2ECh. 11.6 - Prob. 3ECh. 11.6 - Prob. 4ECh. 11.6 - Prob. 5ECh. 11.6 - Matching In Exercises 5-10, match the equation...Ch. 11.6 - Prob. 7ECh. 11.6 - Prob. 8ECh. 11.6 - Prob. 9ECh. 11.6 - Prob. 10ECh. 11.6 - Prob. 11ECh. 11.6 - Prob. 12ECh. 11.6 - Prob. 13ECh. 11.6 - Sketching a Surface in SpaceIn Exercises 1114,...Ch. 11.6 - Prob. 15ECh. 11.6 - Prob. 16ECh. 11.6 - Prob. 17ECh. 11.6 - Prob. 18ECh. 11.6 - Prob. 19ECh. 11.6 - Prob. 20ECh. 11.6 - Prob. 21ECh. 11.6 - Prob. 22ECh. 11.6 - Prob. 23ECh. 11.6 - Prob. 24ECh. 11.6 - Prob. 25ECh. 11.6 - Prob. 26ECh. 11.6 - EXPLORING CONCEPTS HyperboloidExplain how to...Ch. 11.6 - Prob. 28ECh. 11.6 - Prob. 29ECh. 11.6 - Prob. 30ECh. 11.6 - Prob. 31ECh. 11.6 - Finding an Equation for a Surface of RevolutionIn...Ch. 11.6 - Finding an Equation for a Surface of RevolutionIn...Ch. 11.6 - Prob. 34ECh. 11.6 - Prob. 35ECh. 11.6 - Prob. 36ECh. 11.6 - Finding a Generating CurveIn Exercises 3740, find...Ch. 11.6 - Prob. 38ECh. 11.6 - Prob. 39ECh. 11.6 - Prob. 40ECh. 11.6 - Prob. 41ECh. 11.6 - Prob. 42ECh. 11.6 - Prob. 43ECh. 11.6 - Analyzing a TraceIn Exercises 43 and 44, analyze...Ch. 11.6 - Prob. 45ECh. 11.6 - Prob. 46ECh. 11.6 - Prob. 47ECh. 11.6 - Machine Design The top of a rubber bushing...Ch. 11.6 - Using a Hyperbolic ParaboloidDetermine the...Ch. 11.6 - Prob. 50ECh. 11.6 - Prob. 51ECh. 11.7 - Prob. 1ECh. 11.7 - Prob. 2ECh. 11.7 - Cylindrical-to-Rectangular ConversionIn Exercises...Ch. 11.7 - Cylindrical-to-Rectangular ConversionIn Exercises...Ch. 11.7 - Prob. 5ECh. 11.7 - Prob. 6ECh. 11.7 - Cylindrical-to-Rectangular ConversionIn Exercises...Ch. 11.7 - Prob. 8ECh. 11.7 - Prob. 9ECh. 11.7 - Prob. 10ECh. 11.7 - Prob. 11ECh. 11.7 - Prob. 12ECh. 11.7 - Prob. 13ECh. 11.7 - Prob. 14ECh. 11.7 - Prob. 15ECh. 11.7 - Prob. 16ECh. 11.7 - Prob. 17ECh. 11.7 - Rectangular-to-Cylindrical Conversion In Exercises...Ch. 11.7 - Prob. 19ECh. 11.7 - Prob. 20ECh. 11.7 - Prob. 21ECh. 11.7 - Prob. 22ECh. 11.7 - Cylindrical-to-Rectangular ConversionIn Exercises...Ch. 11.7 - Prob. 24ECh. 11.7 - Prob. 25ECh. 11.7 - Prob. 26ECh. 11.7 - Prob. 27ECh. 11.7 - Prob. 28ECh. 11.7 - Cylindrical-to-Rectangular ConversionIn Exercises...Ch. 11.7 - Prob. 30ECh. 11.7 - Prob. 31ECh. 11.7 - Rectangular-to-Spherical ConversionIn Exercises...Ch. 11.7 - Prob. 33ECh. 11.7 - Prob. 34ECh. 11.7 - Prob. 35ECh. 11.7 - Prob. 36ECh. 11.7 - Prob. 37ECh. 11.7 - Prob. 38ECh. 11.7 - Prob. 39ECh. 11.7 - Prob. 40ECh. 11.7 - Prob. 41ECh. 11.7 - Prob. 42ECh. 11.7 - Prob. 43ECh. 11.7 - Prob. 44ECh. 11.7 - Prob. 45ECh. 11.7 - Prob. 46ECh. 11.7 - Prob. 47ECh. 11.7 - Prob. 48ECh. 11.7 - Prob. 49ECh. 11.7 - Rectangular-to-Spherical ConversionIn Exercises...Ch. 11.7 - Prob. 51ECh. 11.7 - Prob. 52ECh. 11.7 - Prob. 53ECh. 11.7 - Prob. 54ECh. 11.7 - Prob. 55ECh. 11.7 - Prob. 56ECh. 11.7 - Prob. 57ECh. 11.7 - Prob. 58ECh. 11.7 - Prob. 59ECh. 11.7 - Prob. 60ECh. 11.7 - Prob. 61ECh. 11.7 - Prob. 62ECh. 11.7 - Prob. 63ECh. 11.7 - Prob. 64ECh. 11.7 - Prob. 65ECh. 11.7 - Prob. 66ECh. 11.7 - Prob. 67ECh. 11.7 - Prob. 68ECh. 11.7 - Prob. 69ECh. 11.7 - Prob. 70ECh. 11.7 - Prob. 71ECh. 11.7 - Prob. 72ECh. 11.7 - Prob. 73ECh. 11.7 - Prob. 74ECh. 11.7 - Prob. 75ECh. 11.7 - Prob. 76ECh. 11.7 - Spherical Coordinates Explain why in spherical...Ch. 11.7 - Prob. 78ECh. 11.7 - Prob. 79ECh. 11.7 - Prob. 80ECh. 11.7 - Prob. 81ECh. 11.7 - Prob. 82ECh. 11.7 - Prob. 83ECh. 11.7 - Prob. 84ECh. 11.7 - Prob. 85ECh. 11.7 - Prob. 86ECh. 11.7 - Prob. 87ECh. 11.7 - Prob. 88ECh. 11.7 - Prob. 89ECh. 11.7 - Prob. 90ECh. 11.7 - Prob. 91ECh. 11.7 - Sketching a Solid In Exercises 9194, sketch the...Ch. 11.7 - Prob. 93ECh. 11.7 - Prob. 94ECh. 11.7 - Prob. 95ECh. 11.7 - Prob. 96ECh. 11.7 - Prob. 97ECh. 11.7 - Prob. 98ECh. 11.7 - Prob. 99ECh. 11.7 - Prob. 100ECh. 11.7 - Prob. 101ECh. 11.7 - Prob. 102ECh. 11.7 - Intersection of SurfaceIdentify the curve of...Ch. 11.7 - Prob. 104ECh. 11 - Writing Vectors in Different Forms In Exercises 1...Ch. 11 - Prob. 2RECh. 11 - Prob. 3RECh. 11 - Prob. 4RECh. 11 - Prob. 5RECh. 11 - Prob. 6RECh. 11 - Prob. 7RECh. 11 - Prob. 8RECh. 11 - Prob. 9RECh. 11 - Prob. 10RECh. 11 - Prob. 11RECh. 11 - Prob. 12RECh. 11 - Prob. 13RECh. 11 - Prob. 14RECh. 11 - Prob. 15RECh. 11 - Prob. 16RECh. 11 - Prob. 17RECh. 11 - Prob. 18RECh. 11 - Prob. 19RECh. 11 - Prob. 20RECh. 11 - Prob. 21RECh. 11 - Prob. 22RECh. 11 - Prob. 23RECh. 11 - Prob. 24RECh. 11 - Prob. 25RECh. 11 - Prob. 26RECh. 11 - Prob. 27RECh. 11 - Prob. 28RECh. 11 - Prob. 29RECh. 11 - Prob. 30RECh. 11 - Prob. 31RECh. 11 - Prob. 32RECh. 11 - Finding a Unit VectorFind a unit vector that is...Ch. 11 - Prob. 34RECh. 11 - Prob. 35RECh. 11 - VolumeUse the triple scalar product to find the...Ch. 11 - Prob. 37RECh. 11 - Prob. 38RECh. 11 - Prob. 39RECh. 11 - Prob. 40RECh. 11 - Prob. 41RECh. 11 - Prob. 42RECh. 11 - Prob. 43RECh. 11 - Prob. 44RECh. 11 - Prob. 45RECh. 11 - Prob. 46RECh. 11 - Distance Find the distance between the planes...Ch. 11 - Prob. 48RECh. 11 - Prob. 49RECh. 11 - Prob. 50RECh. 11 - Prob. 51RECh. 11 - Prob. 52RECh. 11 - Prob. 53RECh. 11 - Prob. 54RECh. 11 - Prob. 55RECh. 11 - Prob. 56RECh. 11 - Prob. 57RECh. 11 - Prob. 58RECh. 11 - Prob. 59RECh. 11 - Prob. 60RECh. 11 - Prob. 61RECh. 11 - Prob. 62RECh. 11 - Prob. 63RECh. 11 - Prob. 64RECh. 11 - Prob. 65RECh. 11 - Prob. 66RECh. 11 - Prob. 67RECh. 11 - Prob. 68RECh. 11 - Prob. 69RECh. 11 - Prob. 70RECh. 11 - Prob. 71RECh. 11 - Prob. 72RECh. 11 - Prob. 1PSCh. 11 - Prob. 2PSCh. 11 - Prob. 3PSCh. 11 - Prob. 4PSCh. 11 - Prob. 5PSCh. 11 - Prob. 6PSCh. 11 - Volume (a) Find the volume of the solid bounded...Ch. 11 - Prob. 8PSCh. 11 - Prob. 9PSCh. 11 - Prob. 10PSCh. 11 - Sketching Graphs Sketch the graph of each equation...Ch. 11 - Prob. 12PSCh. 11 - Tetherball A tetherball weighing 1 pound is pulled...Ch. 11 - Towing A loaded barge is being towed by two...Ch. 11 - Prob. 15PSCh. 11 - Latitude-Longitude SystemLos Angeles is located at...Ch. 11 - Distance Between a Point and a PlaneConsider the...Ch. 11 - Prob. 18PSCh. 11 - Prob. 19PS
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- There are three options for investing $1150. The first earns 10% compounded annually, the second earns 10% compounded quarterly, and the third earns 10% compounded continuously. Find equations that model each investment growth and use a graphing utility to graph each model in the same viewing window over a 20-year period. Use the graph to determine which investment yields the highest return after 20 years. What are the differences in earnings among the three investment? STEP 1: The formula for compound interest is A = nt = P(1 + − − ) n², where n is the number of compoundings per year, t is the number of years, r is the interest rate, P is the principal, and A is the amount (balance) after t years. For continuous compounding, the formula reduces to A = Pert Find r and n for each model, and use these values to write A in terms of t for each case. Annual Model r=0.10 A = Y(t) = 1150 (1.10)* n = 1 Quarterly Model r = 0.10 n = 4 A = Q(t) = 1150(1.025) 4t Continuous Model r=0.10 A = C(t) =…arrow_forwardUse a graphing utility to find the point of intersection, if any, of the graphs of the functions. Round your result to three decimal places. (Enter NONE in any unused answer blanks.) y = 100e0.01x (x, y) = y = 11,250 ×arrow_forward5. For the function y-x³-3x²-1, use derivatives to: (a) determine the intervals of increase and decrease. (b) determine the local (relative) maxima and minima. (e) determine the intervals of concavity. (d) determine the points of inflection. (e) sketch the graph with the above information indicated on the graph.arrow_forward
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