Basic College Mathematics
13th Edition
ISBN: 9780134689623
Author: BITTINGER, Marvin L., BEECHER, Judith A., Johnson, Barbara L. (barbara Loreen)
Publisher: Pearson Higher Education,
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Textbook Question
Chapter 9.4, Problem 17E
Find the volume of the sphere. Use 3.14 for π in Exercises 15–18 and round to the nearest hundredth in Exercises 17 and 18. Use
17. 
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Chapter 9 Solutions
Basic College Mathematics
Ch. 9.1 - Prob. 1SRCh. 9.1 - Multiply using mixed numerals.[3.6a] Multiply....Ch. 9.1 - Prob. 1DECh. 9.1 - Prob. 2DECh. 9.1 - Prob. 3DECh. 9.1 - Prob. 4DECh. 9.1 - Prob. 5DECh. 9.1 - Prob. 6DECh. 9.1 - Prob. 7DECh. 9.1 - Prob. 8DE
Ch. 9.1 - A fence is to be built around a vegetable garden...Ch. 9.1 - Prob. 1RCCh. 9.1 - Prob. 2RCCh. 9.1 - Prob. 3RCCh. 9.1 - Prob. 4RCCh. 9.1 - Prob. 1ECh. 9.1 - Prob. 2ECh. 9.1 - Prob. 3ECh. 9.1 - Prob. 4ECh. 9.1 - Prob. 5ECh. 9.1 - Prob. 6ECh. 9.1 - Prob. 7ECh. 9.1 - Find the perimeter of each rectangle. 8. 2.5 m by...Ch. 9.1 - Find the perimeter of each rectangle. 9.312yd by...Ch. 9.1 - Prob. 10ECh. 9.1 - Prob. 11ECh. 9.1 - Prob. 12ECh. 9.1 - Prob. 13ECh. 9.1 - Prob. 14ECh. 9.1 - Prob. 15ECh. 9.1 - Prob. 16ECh. 9.1 - Prob. 17ECh. 9.1 - Prob. 18ECh. 9.1 - Prob. 19ECh. 9.1 - Prob. 20ECh. 9.1 - Prob. 21ECh. 9.1 - Prob. 22ECh. 9.1 - Prob. 23ECh. 9.1 - Prob. 24ECh. 9.1 - Prob. 25ECh. 9.1 - Prob. 26ECh. 9.1 - Prob. 27ECh. 9.1 - Prob. 28ECh. 9.1 - Prob. 29ECh. 9.1 - Prob. 30ECh. 9.1 - Prob. 31ECh. 9.1 - Prob. 32ECh. 9.2 - Prob. 1SRCh. 9.2 - Prob. 2SRCh. 9.2 - Prob. 1DECh. 9.2 - Prob. 2DECh. 9.2 - Prob. 3DECh. 9.2 - Prob. 4DECh. 9.2 - Prob. 5DECh. 9.2 - Prob. 6DECh. 9.2 - Prob. 7DECh. 9.2 - Prob. 8DECh. 9.2 - Prob. 9DECh. 9.2 - Find the area. 10. A=12bh=1211cmcm=0.5113.4cm2=cm2Ch. 9.2 - Prob. 11DECh. 9.2 - Prob. 12DECh. 9.2 - Prob. 13DECh. 9.2 - Prob. 1RCCh. 9.2 - Prob. 2RCCh. 9.2 - Prob. 3RCCh. 9.2 - Prob. 4RCCh. 9.2 - Prob. 1CCCh. 9.2 - Prob. 2CCCh. 9.2 - Prob. 1ECh. 9.2 - a.Find the area. 2.Ch. 9.2 - Prob. 3ECh. 9.2 - aFind the area. 4.Ch. 9.2 - Prob. 5ECh. 9.2 - aFind the area. 6.Ch. 9.2 - Prob. 7ECh. 9.2 - aFind the area. 8.Ch. 9.2 - Prob. 9ECh. 9.2 - Find the area of each rectangle. 10.14 yd by 8 ydCh. 9.2 - Prob. 11ECh. 9.2 - Find the area of each rectangle. 12.2.45 km by 100...Ch. 9.2 - Prob. 13ECh. 9.2 - Find the area of each rectangle. 14.1013mi. by...Ch. 9.2 - Prob. 15ECh. 9.2 - Prob. 16ECh. 9.2 - Prob. 17ECh. 9.2 - Prob. 18ECh. 9.2 - Prob. 19ECh. 9.2 - Prob. 20ECh. 9.2 - Prob. 21ECh. 9.2 - Prob. 22ECh. 9.2 - Prob. 23ECh. 9.2 - Prob. 24ECh. 9.2 - Prob. 25ECh. 9.2 - Prob. 26ECh. 9.2 - Prob. 27ECh. 9.2 - bFind the area. 28.Ch. 9.2 - Prob. 29ECh. 9.2 - bFind the area. 30.Ch. 9.2 - Prob. 31ECh. 9.2 - bFind the area. 32.Ch. 9.2 - Prob. 33ECh. 9.2 - bFind the area. 34.Ch. 9.2 - Prob. 35ECh. 9.2 - cSolve. 36.Area of a Field. A field is 240.8 m by...Ch. 9.2 - Prob. 37ECh. 9.2 - cSolve. 38.Beckys rectangular swimming pool...Ch. 9.2 - Prob. 39ECh. 9.2 - Maravene is planning a wildflower border around...Ch. 9.2 - Prob. 41ECh. 9.2 - Carpeting Costs. A restaurant owner wants to...Ch. 9.2 - Prob. 43ECh. 9.2 - Find the area of the shaded region in each figure....Ch. 9.2 - Prob. 45ECh. 9.2 - Find the area of the shaded region in each figure....Ch. 9.2 - Prob. 47ECh. 9.2 - Find the area of the shaded region in each figure....Ch. 9.2 - Prob. 49ECh. 9.2 - Prob. 50ECh. 9.2 - Prob. 51ECh. 9.2 - Prob. 52ECh. 9.2 - Prob. 53ECh. 9.2 - Prob. 54ECh. 9.2 - Prob. 55ECh. 9.2 - Prob. 56ECh. 9.2 - Prob. 57ECh. 9.2 - Prob. 58ECh. 9.2 - Prob. 59ECh. 9.2 - Prob. 60ECh. 9.2 - Prob. 61ECh. 9.2 - Prob. 62ECh. 9.2 - Prob. 63ECh. 9.2 - Prob. 64ECh. 9.2 - Prob. 65ECh. 9.2 - Prob. 66ECh. 9.2 - Prob. 67ECh. 9.2 - Prob. 68ECh. 9.3 - Multiply and simplify using fraction...Ch. 9.3 - Multiply and simplify using fraction...Ch. 9.3 - Prob. 1DECh. 9.3 - Find the length of a diameter.Ch. 9.3 - Prob. 3DECh. 9.3 - Find the circumference of this circle. Use 227 for...Ch. 9.3 - Prob. 5DECh. 9.3 - Find the area of this circle. Use 227 for . ...Ch. 9.3 - Prob. 7DECh. 9.3 - Which is larger and by how much: a 10-ft-square...Ch. 9.3 - Complete each statement with the correct word from...Ch. 9.3 - Complete each statement with the correct word from...Ch. 9.3 - Prob. 3RCCh. 9.3 - Prob. 4RCCh. 9.3 - Prob. 1CCCh. 9.3 - Select from choices (a)-(d) the closest...Ch. 9.3 - Prob. 1ECh. 9.3 - Prob. 2ECh. 9.3 - Prob. 3ECh. 9.3 - Prob. 4ECh. 9.3 - Prob. 5ECh. 9.3 - Prob. 6ECh. 9.3 - Prob. 7ECh. 9.3 - Prob. 8ECh. 9.3 - Prob. 9ECh. 9.3 - Prob. 10ECh. 9.3 - Areas of Pizza Pans. How much larger is a pizza...Ch. 9.3 - Prob. 12ECh. 9.3 - Prob. 13ECh. 9.3 - Prob. 14ECh. 9.3 - Prob. 15ECh. 9.3 - Prob. 16ECh. 9.3 - Prob. 17ECh. 9.3 - Prob. 18ECh. 9.3 - Find the perimeter of each figure. Use 3.14 for ....Ch. 9.3 - Find the perimeter of each figure. Use 3.14 for ....Ch. 9.3 - Prob. 21ECh. 9.3 - Find the perimeter of each figure. Use 3.14 for ....Ch. 9.3 - Prob. 23ECh. 9.3 - Find the perimeter of each figure. Use 3.14 for ....Ch. 9.3 - Prob. 25ECh. 9.3 - Find the area of the shaded region in each figure....Ch. 9.3 - Prob. 27ECh. 9.3 - Find the area of the shaded region in each figure....Ch. 9.3 - Prob. 29ECh. 9.3 - Find the area of the shaded region in each figure....Ch. 9.3 - Prob. 31ECh. 9.3 - Prob. 32ECh. 9.3 - Prob. 33ECh. 9.3 - Prob. 34ECh. 9.3 - Prob. 35ECh. 9.3 - Prob. 36ECh. 9.3 - Prob. 37ECh. 9.3 - Prob. 38ECh. 9.3 - Prob. 39ECh. 9.3 - Prob. 40ECh. 9.4 - Prob. 1SRCh. 9.4 - Prob. 2SRCh. 9.4 - Prob. 1DECh. 9.4 - Carry-on Luggage.The largest piece of luggage that...Ch. 9.4 - Prob. 3DECh. 9.4 - Find the volume of the cylinder. Use 3.14 for ....Ch. 9.4 - Prob. 5DECh. 9.4 - Prob. 6DECh. 9.4 - Prob. 7DECh. 9.4 - Prob. 8DECh. 9.4 - Prob. 9DECh. 9.4 - Prob. 10DECh. 9.4 - Prob. 1RCCh. 9.4 - Prob. 2RCCh. 9.4 - Prob. 3RCCh. 9.4 - Prob. 4RCCh. 9.4 - Prob. 1CCCh. 9.4 - Prob. 2CCCh. 9.4 - Prob. 1ECh. 9.4 - Find the volume of the rectangular solid. 2.Ch. 9.4 - Prob. 3ECh. 9.4 - Find the volume of the rectangular solid. 4.Ch. 9.4 - Prob. 5ECh. 9.4 - Prob. 6ECh. 9.4 - Prob. 7ECh. 9.4 - Prob. 8ECh. 9.4 - Prob. 9ECh. 9.4 - Find the volume of the circular cylinder. Use 3.14...Ch. 9.4 - Prob. 11ECh. 9.4 - Find the volume of the circular cylinder. Use 3.14...Ch. 9.4 - Prob. 13ECh. 9.4 - Prob. 14ECh. 9.4 - Prob. 15ECh. 9.4 - Find the volume of the sphere. Use 3.14 for in...Ch. 9.4 - Find the volume of the sphere. Use 3.14 for in...Ch. 9.4 - Find the volume of the sphere. Use 3.14 for in...Ch. 9.4 - Prob. 19ECh. 9.4 - Find the volume of the sphere. Use 3.14 for in...Ch. 9.4 - Prob. 21ECh. 9.4 - Find the volume of the circular cone. Use 3.14 for...Ch. 9.4 - Prob. 23ECh. 9.4 - Find the volume of the circular cone. Use 3.14 for...Ch. 9.4 - Prob. 25ECh. 9.4 - Find the volume of the circular cone. Use 3.14 for...Ch. 9.4 - Oak Log. An oak log has a diameter of 12 cm and a...Ch. 9.4 - Gas Pipeline. The 638-mi Rockies ExpressEast...Ch. 9.4 - Prob. 29ECh. 9.4 - Prob. 30ECh. 9.4 - Prob. 31ECh. 9.4 - Culinary Arts. Raena often makes individual...Ch. 9.4 - Prob. 33ECh. 9.4 - Prob. 34ECh. 9.4 - Prob. 35ECh. 9.4 - Prob. 36ECh. 9.4 - Prob. 37ECh. 9.4 - Prob. 38ECh. 9.4 - Prob. 39ECh. 9.4 - Prob. 40ECh. 9.4 - Prob. 41ECh. 9.4 - Prob. 42ECh. 9.4 - Prob. 43ECh. 9.4 - Prob. 44ECh. 9.4 - Prob. 45ECh. 9.4 - Prob. 46ECh. 9.4 - Prob. 47ECh. 9.4 - Prob. 48ECh. 9.4 - A sphere with diameter 1 m is circumscribed by a...Ch. 9.5 - Prob. 1DECh. 9.5 - Prob. 2DECh. 9.5 - Prob. 3DECh. 9.5 - Prob. 4DECh. 9.5 - Prob. 5DECh. 9.5 - Prob. 6DECh. 9.5 - Prob. 7DECh. 9.5 - Prob. 8DECh. 9.5 - Identify each pair of complementary angles.Ch. 9.5 - Find the measure of a complement of each angle....Ch. 9.5 - Prob. 11DECh. 9.5 - Prob. 12DECh. 9.5 - Prob. 13DECh. 9.5 - Prob. 14DECh. 9.5 - Prob. 15DECh. 9.5 - Prob. 16DECh. 9.5 - Prob. 17DECh. 9.5 - Prob. 18DECh. 9.5 - Prob. 19DECh. 9.5 - Are all equilateral triangles isosceles?Ch. 9.5 - Prob. 21DECh. 9.5 - Prob. 22DECh. 9.5 - Prob. 23DECh. 9.5 - Prob. 24DECh. 9.5 - Prob. 1RCCh. 9.5 - Prob. 2RCCh. 9.5 - Prob. 3RCCh. 9.5 - Prob. 4RCCh. 9.5 - Prob. 5RCCh. 9.5 - Prob. 6RCCh. 9.5 - Prob. 7RCCh. 9.5 - Prob. 8RCCh. 9.5 - Prob. 9RCCh. 9.5 - Prob. 10RCCh. 9.5 - Prob. 1ECh. 9.5 - aName each angle in five different ways. 2.Ch. 9.5 - Prob. 3ECh. 9.5 - Prob. 4ECh. 9.5 - Prob. 5ECh. 9.5 - Prob. 6ECh. 9.5 - Prob. 7ECh. 9.5 - Prob. 8ECh. 9.5 - Prob. 9ECh. 9.5 - Prob. 10ECh. 9.5 - Prob. 11ECh. 9.5 - Prob. 12ECh. 9.5 - Prob. 13ECh. 9.5 - Prob. 14ECh. 9.5 - Prob. 15ECh. 9.5 - Prob. 16ECh. 9.5 - Prob. 17ECh. 9.5 - Prob. 18ECh. 9.5 - Prob. 19ECh. 9.5 - Prob. 20ECh. 9.5 - Prob. 21ECh. 9.5 - CFind the measure of a complement of each angle....Ch. 9.5 - Prob. 23ECh. 9.5 - CFind the measure of a complement of each angle....Ch. 9.5 - Prob. 25ECh. 9.5 - CFind the measure of a complement of each angle....Ch. 9.5 - Prob. 27ECh. 9.5 - CFind the measure of a complement of each angle....Ch. 9.5 - Prob. 29ECh. 9.5 - Find the measure of a supplement of each angle....Ch. 9.5 - Prob. 31ECh. 9.5 - Find the measure of a supplement of each angle....Ch. 9.5 - Prob. 33ECh. 9.5 - Find the measure of a supplement of each angle....Ch. 9.5 - Prob. 35ECh. 9.5 - Find the measure of a supplement of each angle....Ch. 9.5 - Prob. 37ECh. 9.5 - Prob. 38ECh. 9.5 - Prob. 39ECh. 9.5 - Prob. 40ECh. 9.5 - Prob. 41ECh. 9.5 - Prob. 42ECh. 9.5 - Prob. 43ECh. 9.5 - Prob. 44ECh. 9.5 - Prob. 45ECh. 9.5 - Prob. 46ECh. 9.5 - Prob. 47ECh. 9.5 - Prob. 48ECh. 9.5 - Prob. 49ECh. 9.5 - Prob. 50ECh. 9.5 - Prob. 51ECh. 9.5 - Prob. 52ECh. 9.5 - Prob. 53ECh. 9.5 - Prob. 54ECh. 9.5 - Prob. 55ECh. 9.5 - Prob. 56ECh. 9.5 - Prob. 57ECh. 9.5 - Prob. 58ECh. 9.5 - Prob. 59ECh. 9.5 - Prob. 60ECh. 9.5 - Prob. 61ECh. 9.6 - Prob. 1SRCh. 9.6 - Prob. 2SRCh. 9.6 - Prob. 1DECh. 9.6 - Prob. 2DECh. 9.6 - Prob. 3DECh. 9.6 - Prob. 4DECh. 9.6 - Prob. 5DECh. 9.6 - Prob. 6DECh. 9.6 - Prob. 7DECh. 9.6 - Prob. 8DECh. 9.6 - Prob. 9DECh. 9.6 - Prob. 10DECh. 9.6 - Prob. 11DECh. 9.6 - Prob. 12DECh. 9.6 - Prob. 13DECh. 9.6 - Prob. 14DECh. 9.6 - Prob. 15DECh. 9.6 - Prob. 16DECh. 9.6 - Prob. 17DECh. 9.6 - Prob. 18DECh. 9.6 - Prob. 19DECh. 9.6 - Prob. 20DECh. 9.6 - Prob. 21DECh. 9.6 - Prob. 22DECh. 9.6 - Prob. 23DECh. 9.6 - Prob. 24DECh. 9.6 - Prob. 25DECh. 9.6 - Prob. 26DECh. 9.6 - Prob. 27DECh. 9.6 - Prob. 28DECh. 9.6 - Prob. 29DECh. 9.6 - Prob. 30DECh. 9.6 - Prob. 31DECh. 9.6 - Prob. 32DECh. 9.6 - Prob. 33DECh. 9.6 - Prob. 1RCCh. 9.6 - Prob. 2RCCh. 9.6 - Prob. 3RCCh. 9.6 - Prob. 4RCCh. 9.6 - Prob. 1CCCh. 9.6 - Prob. 2CCCh. 9.6 - Prob. 3CCCh. 9.6 - Prob. 4CCCh. 9.6 - Prob. 1ECh. 9.6 - Prob. 2ECh. 9.6 - Prob. 3ECh. 9.6 - aSimplify. 4.225Ch. 9.6 - Prob. 5ECh. 9.6 - Prob. 6ECh. 9.6 - Prob. 7ECh. 9.6 - Prob. 8ECh. 9.6 - Prob. 9ECh. 9.6 - Prob. 10ECh. 9.6 - Prob. 11ECh. 9.6 - Prob. 12ECh. 9.6 - Prob. 13ECh. 9.6 - Prob. 14ECh. 9.6 - Prob. 15ECh. 9.6 - Prob. 16ECh. 9.6 - Prob. 17ECh. 9.6 - Prob. 18ECh. 9.6 - Prob. 19ECh. 9.6 - bUse a calculator to approximate to three decimal...Ch. 9.6 - Prob. 21ECh. 9.6 - Prob. 22ECh. 9.6 - Prob. 23ECh. 9.6 - Prob. 24ECh. 9.6 - Prob. 25ECh. 9.6 - Prob. 26ECh. 9.6 - Prob. 27ECh. 9.6 - Prob. 28ECh. 9.6 - Prob. 29ECh. 9.6 - Prob. 30ECh. 9.6 - Prob. 31ECh. 9.6 - Prob. 32ECh. 9.6 - Prob. 33ECh. 9.6 - Prob. 34ECh. 9.6 - Prob. 35ECh. 9.6 - Prob. 36ECh. 9.6 - Prob. 37ECh. 9.6 - Prob. 38ECh. 9.6 - Prob. 39ECh. 9.6 - Prob. 40ECh. 9.6 - Prob. 41ECh. 9.6 - Prob. 42ECh. 9.6 - Prob. 43ECh. 9.6 - Prob. 44ECh. 9.6 - Prob. 45ECh. 9.6 - Prob. 46ECh. 9.6 - Prob. 47ECh. 9.6 - Prob. 48ECh. 9.6 - Prob. 49ECh. 9.6 - Prob. 50ECh. 9.6 - Prob. 51ECh. 9.6 - Prob. 52ECh. 9.6 - Prob. 53ECh. 9.6 - Prob. 54ECh. 9.6 - Prob. 55ECh. 9.6 - Prob. 56ECh. 9.6 - Prob. 57ECh. 9.6 - Prob. 58ECh. 9.6 - Prob. 59ECh. 9.6 - Prob. 60ECh. 9 - Determine whether each statement is true or false....Ch. 9 - Prob. 2MCCh. 9 - Prob. 3MCCh. 9 - Prob. 4MCCh. 9 - Prob. 5MCCh. 9 - Prob. 6MCCh. 9 - Prob. 7MCCh. 9 - Find the circumference and the area. Use 3.14 for...Ch. 9 - Prob. 9MCCh. 9 - Prob. 10MCCh. 9 - Prob. 11MCCh. 9 - Prob. 12MCCh. 9 - Prob. 13MCCh. 9 - Prob. 14MCCh. 9 - Prob. 15MCCh. 9 - Prob. 16MCCh. 9 - Prob. 1VRCh. 9 - Prob. 2VRCh. 9 - Prob. 3VRCh. 9 - Prob. 4VRCh. 9 - Prob. 5VRCh. 9 - Prob. 6VRCh. 9 - Prob. 1CRCh. 9 - Prob. 2CRCh. 9 - Prob. 3CRCh. 9 - Prob. 4CRCh. 9 - Prob. 1PECh. 9 - Prob. 2PECh. 9 - Prob. 3PECh. 9 - Prob. 4PECh. 9 - Prob. 5PECh. 9 - Prob. 6PECh. 9 - Prob. 7PECh. 9 - Prob. 8PECh. 9 - Prob. 9PECh. 9 - Prob. 10PECh. 9 - Prob. 11PECh. 9 - Prob. 12PECh. 9 - Prob. 13PECh. 9 - Prob. 1RECh. 9 - Prob. 2RECh. 9 - Prob. 3RECh. 9 - Prob. 4RECh. 9 - Prob. 5RECh. 9 - Prob. 6RECh. 9 - Prob. 7RECh. 9 - Prob. 8RECh. 9 - Prob. 9RECh. 9 - Prob. 10RECh. 9 - Prob. 11RECh. 9 - Prob. 12RECh. 9 - Prob. 13RECh. 9 - Prob. 14RECh. 9 - Prob. 15RECh. 9 - Prob. 16RECh. 9 - Find the area of the circle in Exercise 11. Use...Ch. 9 - Prob. 18RECh. 9 - Prob. 19RECh. 9 - Prob. 20RECh. 9 - Prob. 21RECh. 9 - Prob. 22RECh. 9 - Find the volume. Use 3.14 for . [9.4b, c, d] 23.Ch. 9 - Prob. 24RECh. 9 - Prob. 25RECh. 9 - Prob. 26RECh. 9 - Prob. 27RECh. 9 - Prob. 28RECh. 9 - Prob. 29RECh. 9 - Prob. 30RECh. 9 - Prob. 31RECh. 9 - Prob. 32RECh. 9 - Prob. 33RECh. 9 - Prob. 34RECh. 9 - Prob. 35RECh. 9 - Prob. 36RECh. 9 - Prob. 37RECh. 9 - Prob. 38RECh. 9 - Prob. 39RECh. 9 - Prob. 40RECh. 9 - Prob. 41RECh. 9 - Prob. 42RECh. 9 - Prob. 43RECh. 9 - Prob. 44RECh. 9 - Prob. 45RECh. 9 - Prob. 46RECh. 9 - Prob. 47RECh. 9 - Prob. 48RECh. 9 - Prob. 49RECh. 9 - Prob. 50RECh. 9 - Prob. 51RECh. 9 - Prob. 52RECh. 9 - Prob. 53RECh. 9 - Prob. 1TCh. 9 - Prob. 2TCh. 9 - Prob. 3TCh. 9 - Prob. 4TCh. 9 - Prob. 5TCh. 9 - Prob. 6TCh. 9 - Prob. 7TCh. 9 - Prob. 8TCh. 9 - Prob. 9TCh. 9 - Prob. 10TCh. 9 - Prob. 11TCh. 9 - Prob. 12TCh. 9 - Prob. 13TCh. 9 - Prob. 14TCh. 9 - Prob. 15TCh. 9 - Prob. 16TCh. 9 - Prob. 17TCh. 9 - Prob. 18TCh. 9 - Prob. 19TCh. 9 - Prob. 20TCh. 9 - Prob. 21TCh. 9 - Prob. 22TCh. 9 - Prob. 23TCh. 9 - Prob. 24TCh. 9 - Prob. 25TCh. 9 - Prob. 26TCh. 9 - Prob. 27TCh. 9 - Prob. 28TCh. 9 - Prob. 29TCh. 9 - Prob. 30TCh. 9 - Prob. 31TCh. 9 - Prob. 32TCh. 9 - Prob. 33TCh. 9 - Prob. 34TCh. 9 - Prob. 35TCh. 9 - Prob. 36TCh. 9 - Prob. 37TCh. 9 - Prob. 38TCh. 9 - Prob. 39TCh. 9 - Prob. 40TCh. 9 - Prob. 1CURCh. 9 - Prob. 2CURCh. 9 - Prob. 3CURCh. 9 - Prob. 4CURCh. 9 - Prob. 5CURCh. 9 - Prob. 6CURCh. 9 - Prob. 7CURCh. 9 - Prob. 8CURCh. 9 - Prob. 9CURCh. 9 - Prob. 10CURCh. 9 - Prob. 11CURCh. 9 - Prob. 12CURCh. 9 - Prob. 13CURCh. 9 - Prob. 14CURCh. 9 - Prob. 15CURCh. 9 - Prob. 16CURCh. 9 - Prob. 17CURCh. 9 - Prob. 18CURCh. 9 - Prob. 19CURCh. 9 - Prob. 20CURCh. 9 - Prob. 21CURCh. 9 - Prob. 22CURCh. 9 - Prob. 23CURCh. 9 - Prob. 24CURCh. 9 - Prob. 25CURCh. 9 - Prob. 26CURCh. 9 - Prob. 27CURCh. 9 - Prob. 28CURCh. 9 - Prob. 29CURCh. 9 - Prob. 30CURCh. 9 - Prob. 31CURCh. 9 - Prob. 32CURCh. 9 - Prob. 33CURCh. 9 - It is 710 km from Marias dormitory to the library....Ch. 9 - Prob. 35CURCh. 9 - Prob. 36CURCh. 9 - Prob. 37CURCh. 9 - Prob. 38CURCh. 9 - Prob. 39CUR
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- (10) (16 points) Let R>0. Consider the truncated sphere S given as x² + y² + (z = √15R)² = R², z ≥0. where F(x, y, z) = −yi + xj . (a) (8 points) Consider the vector field V (x, y, z) = (▼ × F)(x, y, z) Think of S as a hot-air balloon where the vector field V is the velocity vector field measuring the hot gasses escaping through the porous surface S. The flux of V across S gives the volume flow rate of the gasses through S. Calculate this flux. Hint: Parametrize the boundary OS. Then use Stokes' Theorem. (b) (8 points) Calculate the surface area of the balloon. To calculate the surface area, do the following: Translate the balloon surface S by the vector (-15)k. The translated surface, call it S+ is part of the sphere x² + y²+z² = R². Why do S and S+ have the same area? ⚫ Calculate the area of S+. What is the natural spherical parametrization of S+?arrow_forward(1) (8 points) Let c(t) = (et, et sint, et cost). Reparametrize c as a unit speed curve starting from the point (1,0,1).arrow_forward(9) (16 points) Let F(x, y, z) = (x² + y − 4)i + 3xyj + (2x2 +z²)k = - = (x²+y4,3xy, 2x2 + 2²). (a) (4 points) Calculate the divergence and curl of F. (b) (6 points) Find the flux of V x F across the surface S given by x² + y²+2² = 16, z ≥ 0. (c) (6 points) Find the flux of F across the boundary of the unit cube E = [0,1] × [0,1] x [0,1].arrow_forward
- (8) (12 points) (a) (8 points) Let C be the circle x² + y² = 4. Let F(x, y) = (2y + e²)i + (x + sin(y²))j. Evaluate the line integral JF. F.ds. Hint: First calculate V x F. (b) (4 points) Let S be the surface r² + y² + z² = 4, z ≤0. Calculate the flux integral √(V × F) F).dS. Justify your answer.arrow_forwardDetermine whether the Law of Sines or the Law of Cosines can be used to find another measure of the triangle. a = 13, b = 15, C = 68° Law of Sines Law of Cosines Then solve the triangle. (Round your answers to four decimal places.) C = 15.7449 A = 49.9288 B = 62.0712 × Need Help? Read It Watch Itarrow_forward(4) (10 points) Evaluate √(x² + y² + z²)¹⁄² exp[}(x² + y² + z²)²] dV where D is the region defined by 1< x² + y²+ z² ≤4 and √√3(x² + y²) ≤ z. Note: exp(x² + y²+ 2²)²] means el (x²+ y²+=²)²]¸arrow_forward
- (2) (12 points) Let f(x,y) = x²e¯. (a) (4 points) Calculate Vf. (b) (4 points) Given x directional derivative 0, find the line of vectors u = D₁f(x, y) = 0. (u1, 2) such that the - (c) (4 points) Let u= (1+3√3). Show that Duƒ(1, 0) = ¦|▼ƒ(1,0)| . What is the angle between Vf(1,0) and the vector u? Explain.arrow_forwardFind the missing values by solving the parallelogram shown in the figure. (The lengths of the diagonals are given by c and d. Round your answers to two decimal places.) a b 29 39 66.50 C 17.40 d 0 54.0 126° a Ꮎ b darrow_forwardAnswer the following questions related to the following matrix A = 3 ³).arrow_forward
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