Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN: 9781305071742
Author: James Stewart, Lothar Redlin, Saleem Watson
Publisher: Cengage Learning
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Minimization
In mathematics, traditional optimization problems are typically expressed in terms of minimization. When we talk about minimizing or maximizing a function, we refer to the maximum and minimum possible values of that function. This can be expressed in ter…
Maxima and Minima
The extreme points of a function are the maximum and the minimum points of the function. A maximum is attained when the function takes the maximum value and a minimum is attained when the function takes the minimum value.
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A derivative means a change. Geometrically it can be represented as a line with some steepness. Imagine climbing a mountain which is very steep and 500 meters high. Is it easier to climb? Definitely not! Suppose walking on the road for 500 meters. Which …
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In calculus, concavity is a descriptor of mathematics that tells about the shape of the graph. It is the parameter that helps to estimate the maximum and minimum value of any of the functions and the concave nature using the graphical method. We use the …
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Chapter 5.3, Problem 71E

APPLICATIONS

Beehives In a beehive each cell is a regular hexagonal prism, as shown in the figure. The amount of wax W in the cell depends on the apex angle θ and is given by w = 3.02 − 0.38 cot θ + 0.65 csc θ

Bees instinctively choose θ so as to use the least amount of wax possible.

(a) Use a graphing device to graph W as a function of θ for 0 < θ < π .

(b) For what value of θ does W have its minimum value? [Note: Biologists have discovered that bees rarely deviate from this value by more than a degree or two.]

Chapter 5.3, Problem 71E, APPLICATIONS Beehives In a beehive each cell is a regular hexagonal prism, as shown in the figure.

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Chapter 5 Solutions

Algebra and Trigonometry (MindTap Course List)

Ch. 5.1 - a The radian measure of an angle is the length of...Ch. 5.1 - A central angle is drawn in a circle of radius r,...Ch. 5.1 - Suppose a point moves along a circle with radius r...Ch. 5.1 - Object A is travelling along a circle of radius 2,...Ch. 5.1 - Prob. 5ECh. 5.1 - Prob. 6ECh. 5.1 - 5-16 From Degrees to Radians Find the radian...Ch. 5.1 - Prob. 8ECh. 5.1 - Prob. 9ECh. 5.1 - 5-16 From Degrees to Radians Find the radian...
Ch. 5.1 - Prob. 11ECh. 5.1 - Prob. 12ECh. 5.1 - 5-16 From Degrees to Radians Find the radian...Ch. 5.1 - Prob. 14ECh. 5.1 - Prob. 15ECh. 5.1 - 5-16 From Degrees to Radians Find the radian...Ch. 5.1 - Prob. 17ECh. 5.1 - Prob. 18ECh. 5.1 - 17-28 From Radians to Degrees Find the degree...Ch. 5.1 - Prob. 20ECh. 5.1 - Prob. 21ECh. 5.1 - Prob. 22ECh. 5.1 - Prob. 23ECh. 5.1 - Prob. 24ECh. 5.1 - 17-28 From Radians to Degrees Find the degree...Ch. 5.1 - Prob. 26ECh. 5.1 - Prob. 27ECh. 5.1 - Prob. 28ECh. 5.1 - Prob. 29ECh. 5.1 - Prob. 30ECh. 5.1 - 29-34 conterminal Angles The measure of an snaggle...Ch. 5.1 - Prob. 32ECh. 5.1 - Prob. 33ECh. 5.1 - Prob. 34ECh. 5.1 - Prob. 35ECh. 5.1 - Prob. 36ECh. 5.1 - 35-40 Conterminal Angles? The measures of two...Ch. 5.1 - Prob. 38ECh. 5.1 - Prob. 39ECh. 5.1 - Prob. 40ECh. 5.1 - Prob. 41ECh. 5.1 - Prob. 42ECh. 5.1 - 41-46 Finding a Coterminal angle Find the angle...Ch. 5.1 - Prob. 44ECh. 5.1 - Prob. 45ECh. 5.1 - Prob. 46ECh. 5.1 - Prob. 47ECh. 5.1 - Prob. 48ECh. 5.1 - 47-52 Finding a Coterminal Angle Find an angle...Ch. 5.1 - Prob. 50ECh. 5.1 - Prob. 51ECh. 5.1 - Prob. 52ECh. 5.1 - 53-62 Circular Arcs Find the length s of the...Ch. 5.1 - Prob. 54ECh. 5.1 - 53-62 Circular Arcs Find the length s of the...Ch. 5.1 - Prob. 56ECh. 5.1 - Prob. 57ECh. 5.1 - Prob. 58ECh. 5.1 - Prob. 59ECh. 5.1 - Prob. 60ECh. 5.1 - 53-62 Circular Arcs Find the length s of the...Ch. 5.1 - Prob. 62ECh. 5.1 - Prob. 63ECh. 5.1 - 63-70 Area of a Circular Sector. These exercises...Ch. 5.1 - Prob. 65ECh. 5.1 - Prob. 66ECh. 5.1 - 63-70 Area of a Circular Sector. These exercises...Ch. 5.1 - Prob. 68ECh. 5.1 - Prob. 69ECh. 5.1 - The area of a circle is 600m2. Find the area of a...Ch. 5.1 - Area of a Sector of a Circle Three circles with...Ch. 5.1 - Comparing a Triangle and a Sector of a Circle Two...Ch. 5.1 - 73-74 Clocks and Angles In 1 h the minute hand on...Ch. 5.1 - 73-74 Clocks and Angles In 1 h the minute hand on...Ch. 5.1 - Travel Distance A cars wheels are 28 in. in...Ch. 5.1 - Wheel Revolutions How many revolutions will a car...Ch. 5.1 - Latitudes Pittsburgh, Pennsylvania, and Miami,...Ch. 5.1 - Prob. 78ECh. 5.1 - Orbit of the earth Find the distance that the...Ch. 5.1 - Circumference of the Earth The Greek mathematician...Ch. 5.1 - Prob. 81ECh. 5.1 - Prob. 82ECh. 5.1 - Windshield Wipers The top and bottom ends of a...Ch. 5.1 - Prob. 84ECh. 5.1 - Fan A ceiling fan with 16-in. blades rotates at...Ch. 5.1 - Prob. 86ECh. 5.1 - Which A winch of radius 2 ft is used to lift heavy...Ch. 5.1 - Prob. 88ECh. 5.1 - Speed at the Equator The earth rotates about its...Ch. 5.1 - Prob. 90ECh. 5.1 - Speed of a Current To measure the speed of a...Ch. 5.1 - Bicycle Wheel The sprockets and chain of a bicycle...Ch. 5.1 - Prob. 93ECh. 5.1 - Prob. 94ECh. 5.1 - Prob. 95ECh. 5.2 - A right triangle with an angle is shown in the...Ch. 5.2 - Prob. 2ECh. 5.2 - 3-8. Trigonometric Ratios Find the exact values of...Ch. 5.2 - Prob. 4ECh. 5.2 - 3-8. Trigonometric Ratios Find the exact values of...Ch. 5.2 - 3-8. Trigonometric Ratios Find the exact values of...Ch. 5.2 - 3-8. Trigonometric Ratios Find the exact values of...Ch. 5.2 - 3-8. Trigonometric Ratios Find the exact values of...Ch. 5.2 - Prob. 9ECh. 5.2 - 9-10.Trigonometric Ratios Find a sin and cos, b...Ch. 5.2 - Prob. 11ECh. 5.2 - Prob. 12ECh. 5.2 - 11-14. Using a Calculator Use a calculator to...Ch. 5.2 - Prob. 14ECh. 5.2 - Prob. 15ECh. 5.2 - Prob. 16ECh. 5.2 - 15-20 Finding an Unknown Side Find the side...Ch. 5.2 - Prob. 18ECh. 5.2 - 15-20 Finding an Unknown Side Find the side...Ch. 5.2 - Prob. 20ECh. 5.2 - 21-22Trigonometric Ratios Express x and y in terms...Ch. 5.2 - 21-22 Trigonometric Ratios Express x and y in...Ch. 5.2 - Prob. 23ECh. 5.2 - Prob. 24ECh. 5.2 - 23-28. Trigonometric Ratios Sketch a triangle that...Ch. 5.2 - 23-28. Trigonometric Ratios Sketch a triangle that...Ch. 5.2 - Prob. 27ECh. 5.2 - 23-28. Trigonometric Ratios Sketch a triangle that...Ch. 5.2 - Prob. 29ECh. 5.2 - Prob. 30ECh. 5.2 - 29-36. Evaluating an Expression Evaluate the...Ch. 5.2 - Prob. 32ECh. 5.2 - Prob. 33ECh. 5.2 - Prob. 34ECh. 5.2 - Prob. 35ECh. 5.2 - Prob. 36ECh. 5.2 - 37-44. Solving a Right Triangle Solve the right...Ch. 5.2 - Prob. 38ECh. 5.2 - Prob. 39ECh. 5.2 - Prob. 40ECh. 5.2 - Prob. 41ECh. 5.2 - Prob. 42ECh. 5.2 - 37-44. Solving a Right Triangle Solve the right...Ch. 5.2 - Prob. 44ECh. 5.2 - Prob. 45ECh. 5.2 - Prob. 46ECh. 5.2 - 47-50. Finding an Unknown side Find x rounded to...Ch. 5.2 - 47-50. Finding an Unknown Side Find x rounded to...Ch. 5.2 - 47-50. Finding an Unknown Side Find x rounded to...Ch. 5.2 - Prob. 50ECh. 5.2 - Trigonometric Ratios Express the length x in terms...Ch. 5.2 - Trigonometric Ratios Express the lengths a,b,c and...Ch. 5.2 - Prob. 53ECh. 5.2 - Gateway Arch A plane is flying within sight of the...Ch. 5.2 - Deviation of a Laser Beam A Laser beam is to be...Ch. 5.2 - Distance at Sea From the top of a 200-ft...Ch. 5.2 - Leaning Ladder A 20-ft ladder leans against a...Ch. 5.2 - Height of a Tower A 600-ft guy wire is attached to...Ch. 5.2 - Prob. 59ECh. 5.2 - Determining a Distance A woman standing on a hill...Ch. 5.2 - Height of a Tower A water tower is located 325 ft...Ch. 5.2 - Prob. 62ECh. 5.2 - Prob. 63ECh. 5.2 - Height of a Balloon A hot-air balloon is floating...Ch. 5.2 - Prob. 65ECh. 5.2 - Height of Cloud Cover To measure the height of the...Ch. 5.2 - Distance to the Sun When the moon is exactly half...Ch. 5.2 - Distance to the moon To find the distance to the...Ch. 5.2 - Radius of the Earth In Exercise 80 of Section 5.1...Ch. 5.2 - Parallax To find the distance to nearby stars, the...Ch. 5.2 - Prob. 71ECh. 5.2 - Prob. 72ECh. 5.3 - CONCEPTS If the angle is in standard position and...Ch. 5.3 - Prob. 2ECh. 5.3 - Prob. 3ECh. 5.3 - Prob. 4ECh. 5.3 - SKILLS 512. Reference Angle Find the reference...Ch. 5.3 - Prob. 6ECh. 5.3 - SKILLS 512. Reference Angle Find the reference...Ch. 5.3 - SKILLS 512. Reference Angle Find the reference...Ch. 5.3 - SKILLS 512. Reference Angle Find the reference...Ch. 5.3 - Prob. 10ECh. 5.3 - Prob. 11ECh. 5.3 - SKILLS 512. Reference Angle Find the reference...Ch. 5.3 - SKILLS 13-36 Values of Trigonometric Functions...Ch. 5.3 - Prob. 14ECh. 5.3 - Prob. 15ECh. 5.3 - Prob. 16ECh. 5.3 - Prob. 17ECh. 5.3 - Prob. 18ECh. 5.3 - SKILLS 13-36 Values of Trigonometric Functions...Ch. 5.3 - Prob. 20ECh. 5.3 - Prob. 21ECh. 5.3 - SKILLS 13-36 Values of Trigonometric Functions...Ch. 5.3 - Prob. 23ECh. 5.3 - Prob. 24ECh. 5.3 - SKILLS 13-36 Values of Trigonometric Functions...Ch. 5.3 - Prob. 26ECh. 5.3 - Prob. 27ECh. 5.3 - Prob. 28ECh. 5.3 - Prob. 29ECh. 5.3 - Prob. 30ECh. 5.3 - SKILLS 13-36 Values of Trigonometric Functions...Ch. 5.3 - Prob. 32ECh. 5.3 - Prob. 33ECh. 5.3 - Prob. 34ECh. 5.3 - Prob. 35ECh. 5.3 - Prob. 36ECh. 5.3 - SKILLS 3740. Quadrant in Which an Angle Lies Find...Ch. 5.3 - Prob. 38ECh. 5.3 - Prob. 39ECh. 5.3 - Prob. 40ECh. 5.3 - Prob. 41ECh. 5.3 - SKILLS 4146. Expressing One Trigonometric Function...Ch. 5.3 - SKILLS 4146. Expressing One Trigonometric Function...Ch. 5.3 - SKILLS 4146. Expressing One Trigonometric Function...Ch. 5.3 - Prob. 45ECh. 5.3 - Prob. 46ECh. 5.3 - Prob. 47ECh. 5.3 - SKILLS 47-54 Values of Trigonometric Function Find...Ch. 5.3 - SKILLS 47-54 Values of Trigonometric Function Find...Ch. 5.3 - Prob. 50ECh. 5.3 - SKILLS 47-54 Values of Trigonometric Function Find...Ch. 5.3 - SKILLS 47-54 Values of Trigonometric Function Find...Ch. 5.3 - Prob. 53ECh. 5.3 - SKILLS 47-54 Values of Trigonometric Function Find...Ch. 5.3 - SKILLS 55-56 Values of Expression If =3, find the...Ch. 5.3 - Prob. 56ECh. 5.3 - Prob. 57ECh. 5.3 - Prob. 58ECh. 5.3 - Prob. 59ECh. 5.3 - Prob. 60ECh. 5.3 - SKILLS Finding an Angle of a Triangle A Triangle...Ch. 5.3 - Prob. 62ECh. 5.3 - Prob. 63ECh. 5.3 - SKILLS PLUS 6364. Area of a Region Find the area...Ch. 5.3 - Prob. 65ECh. 5.3 - APPLICATIONS Rain Gutter A rain gutter is to be...Ch. 5.3 - Prob. 67ECh. 5.3 - APPLICATIONS Strength of a Beam The strength of a...Ch. 5.3 - Prob. 69ECh. 5.3 - Prob. 70ECh. 5.3 - APPLICATIONS Beehives In a beehive each cell is a...Ch. 5.3 - APPLICATIONS 72. Turning a Corner A steel pipe is...Ch. 5.3 - APPLICATIONS Rainbows Rainbows are created when...Ch. 5.3 - Prob. 74ECh. 5.3 - DISCUSS DISCOVER PROVE WRITE DISCUSS DISCOVER:...Ch. 5.3 - Prob. 76ECh. 5.3 - Prob. 77ECh. 5.4 - For a function to have an inverse, it must be...Ch. 5.4 - Prob. 2ECh. 5.4 - In the triangle shown we can find the angle as...Ch. 5.4 - Prob. 4ECh. 5.4 - Prob. 5ECh. 5.4 - Prob. 6ECh. 5.4 - 5-8 Evaluating Inverse Trigonometric Functions...Ch. 5.4 - Prob. 8ECh. 5.4 - Prob. 9ECh. 5.4 - Prob. 10ECh. 5.4 - Prob. 11ECh. 5.4 - Prob. 12ECh. 5.4 - Prob. 13ECh. 5.4 - 9-16 Evaluating Inverse Trigonometric Functions...Ch. 5.4 - Prob. 15ECh. 5.4 - Prob. 16ECh. 5.4 - 17-22 Finding Angles in Right Triangles Find the...Ch. 5.4 - 17-22 Finding Angles in Right Triangles Find the...Ch. 5.4 - Prob. 19ECh. 5.4 - Prob. 20ECh. 5.4 - Prob. 21ECh. 5.4 - Prob. 22ECh. 5.4 - 23-28 Basic Trigonometric Equations Find all...Ch. 5.4 - Prob. 24ECh. 5.4 - Prob. 25ECh. 5.4 - Prob. 26ECh. 5.4 - Prob. 27ECh. 5.4 - Prob. 28ECh. 5.4 - Prob. 29ECh. 5.4 - 29-34 Value of an Expression Find the exact value...Ch. 5.4 - 29-34 Value of an Expression Find the exact value...Ch. 5.4 - Prob. 32ECh. 5.4 - Prob. 33ECh. 5.4 - Prob. 34ECh. 5.4 - Prob. 35ECh. 5.4 - Prob. 36ECh. 5.4 - 35-38 Algebraic Expressions Rewrite the expression...Ch. 5.4 - Prob. 38ECh. 5.4 - Leaning Ladder A 20-ft ladder is leaning against a...Ch. 5.4 - Prob. 40ECh. 5.4 - Height of the Space Shuttle An observer views the...Ch. 5.4 - Height of a Pole A 50-ft pole casts a shadow as...Ch. 5.4 - Height of a Balloon A 680-ft rope anchors a...Ch. 5.4 - View from a Satellite The figures on the next page...Ch. 5.4 - Surfing the Perfect Wave For a wave to be...Ch. 5.4 - Prob. 46ECh. 5.5 - In triangle ABC with sides a,b, and c the Law of...Ch. 5.5 - The four cases in which we can solve a triangle...Ch. 5.5 - 3-8. Finding an Angle or Side Use the Law of Sines...Ch. 5.5 - Prob. 4ECh. 5.5 - Prob. 5ECh. 5.5 - 3-8. Finding an Angle or Side Use the Law of Sines...Ch. 5.5 - 3-8. Finding an Angle or Side Use the Law of Sines...Ch. 5.5 - Prob. 8ECh. 5.5 - Prob. 9ECh. 5.5 - Prob. 10ECh. 5.5 - Prob. 11ECh. 5.5 - 9-12. Solving a Triangle Solve the triangle using...Ch. 5.5 - 13-18. Solving a Triangle Sketch each triangle,...Ch. 5.5 - Prob. 14ECh. 5.5 - Prob. 15ECh. 5.5 - 13-18. Solving a Triangle Sketch each triangle,...Ch. 5.5 - Prob. 17ECh. 5.5 - 13-18. Solving a Triangle Sketch each triangle,...Ch. 5.5 - 19-28. Solving a Triangle Use the Law of Sines to...Ch. 5.5 - Prob. 20ECh. 5.5 - Prob. 21ECh. 5.5 - 19-28. Solving a Triangle Use the Law of Sines to...Ch. 5.5 - Prob. 23ECh. 5.5 - Prob. 24ECh. 5.5 - Prob. 25ECh. 5.5 - 19-28. Solving a Triangle Use the Law of Sines to...Ch. 5.5 - Prob. 27ECh. 5.5 - Prob. 28ECh. 5.5 - Finding Angles For the triangle shown, find a BCD...Ch. 5.5 - Prob. 30ECh. 5.5 - Tracking a Satellite The path of a satellite...Ch. 5.5 - Flight of a Plane A pilot is flying over a...Ch. 5.5 - Prob. 33ECh. 5.5 - Distance Across a Lake Points A and B are...Ch. 5.5 - The Learning Tower of Pisa The bell tower of the...Ch. 5.5 - Radio Antenna A short-wave radio antenna is...Ch. 5.5 - Height of a Tree A tree on a hillside casts a...Ch. 5.5 - Length of a Guy Wire A communications tower is...Ch. 5.5 - Calculating a Distance Observers at P and Q are...Ch. 5.5 - Calculating an Angle A water tower 30 m tall is...Ch. 5.5 - Distances to Venus The elongation of a planet is...Ch. 5.5 - Soap Bubbles When two bubbles cling together in...Ch. 5.5 - Prob. 43ECh. 5.5 - Prob. 44ECh. 5.5 - Prob. 45ECh. 5.6 - CONCEPTS For triangle ABC with sides a, b, and c...Ch. 5.6 - Prob. 2ECh. 5.6 - Prob. 3ECh. 5.6 - Prob. 4ECh. 5.6 - Prob. 5ECh. 5.6 - Prob. 6ECh. 5.6 - Prob. 7ECh. 5.6 - 3-10 Finding an Angle or Side Use the Law of...Ch. 5.6 - Prob. 9ECh. 5.6 - Prob. 10ECh. 5.6 - Prob. 11ECh. 5.6 - 11-20Solving a Triangle Solve triangle ABC.Ch. 5.6 - 11-20 Solving a Triangle Solve triangle ABC....Ch. 5.6 - Prob. 14ECh. 5.6 - 11-20 Solving a Triangle Solve triangle ABC....Ch. 5.6 - 11-20 Solving a Triangle Solve triangle ABC....Ch. 5.6 - Prob. 17ECh. 5.6 - Prob. 18ECh. 5.6 - Prob. 19ECh. 5.6 - Prob. 20ECh. 5.6 - Prob. 21ECh. 5.6 - 21-28Law of Sines or Law of Cosines? Find the...Ch. 5.6 - Prob. 23ECh. 5.6 - 21-28Law of Sines or Law of Cosines? Find the...Ch. 5.6 - Prob. 25ECh. 5.6 - 21-28Law of Sines or Law of Cosines? Find the...Ch. 5.6 - 21-28Law of Sines or Law of Cosines? Find the...Ch. 5.6 - Prob. 28ECh. 5.6 - Prob. 29ECh. 5.6 - Prob. 30ECh. 5.6 - 29-32Herons Formula Find the area of the triangle...Ch. 5.6 - 29-32Herons Formula Find the area of the triangle...Ch. 5.6 - Prob. 33ECh. 5.6 - 33-36Herons Formula Find the area of the shaded...Ch. 5.6 - 33-36Herons Formula Find the area of the shaded...Ch. 5.6 - 33-36Herons Formula Find the area of the shaded...Ch. 5.6 - Area of a Region Three circles of radii 4,5, and...Ch. 5.6 - Finding a Length In the figure, triangle ABC is a...Ch. 5.6 - Surveying To find the distance across a small...Ch. 5.6 - Prob. 40ECh. 5.6 - Calculating Distance Two straight roads diverge at...Ch. 5.6 - Prob. 42ECh. 5.6 - Dead Reckoning A pilot flies in a straight path...Ch. 5.6 - Navigation Two boats leave the same port at the...Ch. 5.6 - Navigation A fisherman leaves his home port and...Ch. 5.6 - Navigation Airport B is 300mi from airport A at a...Ch. 5.6 - Triangular Field A triangular field has sides of...Ch. 5.6 - Towing a Barge Two tugboats that are 120ft apart...Ch. 5.6 - Flying kites A boy is flying two kites at the same...Ch. 5.6 - Securing a Tower A 125-ft tower is located on the...Ch. 5.6 - Cable Car A steep mountain is inclined 74 to the...Ch. 5.6 - CN Tower The CN Tower in Toronto, Canada, is the...Ch. 5.6 - Prob. 53ECh. 5.6 - Prob. 54ECh. 5.6 - PROVE: Projection laws Prove that in triangle ABC...Ch. 5.CR - Prob. 1CCCh. 5.CR - a When is an angle in standard position?...Ch. 5.CR - Prob. 3CCCh. 5.CR - a Let an acute angle in a right triangle....Ch. 5.CR - Prob. 5CCCh. 5.CR - Prob. 6CCCh. 5.CR - Prob. 7CCCh. 5.CR - Prob. 8CCCh. 5.CR - Prob. 9CCCh. 5.CR - Prob. 10CCCh. 5.CR - a Define the inverse sine function, the inverse...Ch. 5.CR - Prob. 12CCCh. 5.CR - Prob. 13CCCh. 5.CR - Prob. 1ECh. 5.CR - Prob. 2ECh. 5.CR - Prob. 3ECh. 5.CR - Prob. 4ECh. 5.CR - Prob. 5ECh. 5.CR - Prob. 6ECh. 5.CR - Prob. 7ECh. 5.CR - Prob. 8ECh. 5.CR - Prob. 9ECh. 5.CR - Prob. 10ECh. 5.CR - Prob. 11ECh. 5.CR - 11-14 Area of Circular SectorThese exercises...Ch. 5.CR - Prob. 13ECh. 5.CR - Prob. 14ECh. 5.CR - Angular Speed and Linear Speed A potters wheel...Ch. 5.CR - Prob. 16ECh. 5.CR - Prob. 17ECh. 5.CR - Prob. 18ECh. 5.CR - Prob. 19ECh. 5.CR - Prob. 20ECh. 5.CR - Prob. 21ECh. 5.CR - Prob. 22ECh. 5.CR - Prob. 23ECh. 5.CR - Prob. 24ECh. 5.CR - Prob. 25ECh. 5.CR - Prob. 26ECh. 5.CR - Prob. 27ECh. 5.CR - Prob. 28ECh. 5.CR - Prob. 29ECh. 5.CR - Radius of the Moon As viewed from the earth, the...Ch. 5.CR - Distance Between Two Ships A pilot measures the...Ch. 5.CR - Prob. 33ECh. 5.CR - Prob. 34ECh. 5.CR - Prob. 35ECh. 5.CR - Prob. 36ECh. 5.CR - Prob. 37ECh. 5.CR - Prob. 38ECh. 5.CR - 33-44 Values Trigonometric Functions Find the...Ch. 5.CR - Prob. 40ECh. 5.CR - Prob. 41ECh. 5.CR - Prob. 42ECh. 5.CR - Prob. 43ECh. 5.CR - Prob. 44ECh. 5.CR - Prob. 45ECh. 5.CR - Prob. 46ECh. 5.CR - Prob. 47ECh. 5.CR - Values of Trigonometric Functions Find the six...Ch. 5.CR - Prob. 49ECh. 5.CR - Prob. 50ECh. 5.CR - Prob. 51ECh. 5.CR - Prob. 52ECh. 5.CR - Prob. 53ECh. 5.CR - Prob. 54ECh. 5.CR - Prob. 55ECh. 5.CR - Prob. 56ECh. 5.CR - Prob. 57ECh. 5.CR - Prob. 58ECh. 5.CR - Prob. 59ECh. 5.CR - 57-60 Values of an Expression Find the values of...Ch. 5.CR - Prob. 61ECh. 5.CR - Prob. 62ECh. 5.CR - Prob. 63ECh. 5.CR - Prob. 64ECh. 5.CR - Prob. 65ECh. 5.CR - Prob. 66ECh. 5.CR - Prob. 67ECh. 5.CR - Prob. 68ECh. 5.CR - Prob. 69ECh. 5.CR - Prob. 70ECh. 5.CR - Prob. 71ECh. 5.CR - Prob. 72ECh. 5.CR - Prob. 73ECh. 5.CR - Prob. 74ECh. 5.CR - Prob. 75ECh. 5.CR - Prob. 76ECh. 5.CR - Prob. 77ECh. 5.CR - Prob. 78ECh. 5.CR - Prob. 79ECh. 5.CR - Height of a Building From a point A on the ground,...Ch. 5.CR - Prob. 81ECh. 5.CR - Distance Between a Boat and the Shore A boat is...Ch. 5.CR - Prob. 83ECh. 5.CR - Herons Formula Find the area of a triangle with...Ch. 5.CT - Find the radian measures that correspond to the...Ch. 5.CT - Find the degree measures that correspond to the...Ch. 5.CT - Prob. 3CTCh. 5.CT - Prob. 4CTCh. 5.CT - Prob. 5CTCh. 5.CT - Express the lengths a and b shown in the figure in...Ch. 5.CT - If cos=13 and is in Quadrant III, find...Ch. 5.CT - If sin=513 and tan=512, find sec.Ch. 5.CT - Express tan in terms of sec for in Quadrant II.Ch. 5.CT - The base of the ladder in the figure is 6 ft from...Ch. 5.CT - Express in each figure in terms of x.Ch. 5.CT - Find the exact value of cos(tan1940)Ch. 5.CT - 13-18 Find the side labeled x or the angle labeled...Ch. 5.CT - Prob. 14CTCh. 5.CT - 13-18 Find the side labeled x or the angle labeled...Ch. 5.CT - Prob. 16CTCh. 5.CT - Prob. 17CTCh. 5.CT - Prob. 18CTCh. 5.CT - Refer to the figure below. a Find the area of the...Ch. 5.CT - Refer to the figure below. a Find the angle...Ch. 5.CT - Two wires tether a balloon to the ground, as...Ch. 5.FOM - Completing the Map Find the distance between the...Ch. 5.FOM - Completing the Map Find the distance between the...Ch. 5.FOM - Determining a Distance A surveyor on one side of a...Ch. 5.FOM - Height of a Cliff To measure the height of an...Ch. 5.FOM - Height of a Mountain To calculate the height h of...Ch. 5.FOM - Prob. 6PCh. 5.FOM - Prob. 7P
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Finding Local Maxima and Minima by Differentiation; Author: Professor Dave Explains;https://www.youtube.com/watch?v=pvLj1s7SOtk;License: Standard YouTube License, CC-BY