Learning Materials
Features
Discover
Chapter 7: Q.10 (page 473)
Rewrite in terms of sine and cosine functions:
The simplified expression can be given as
Over 30 million students worldwide already upgrade their learning with 91影视!
All the tools & learning materials you need for study success - in one app.
Get started for free
Constructing a Rain Gutter A rain gutter is to be constructed of aluminum sheets inches wide. After marking off a length of inches from each edge, this length is bent up at an angle . See the illustration. The area of the opening as a function of is given by
(a) In calculus, you will be asked to find the angle that maximizes by solving the equation
Solve this equation for
(b)What is the maximum area of the opening?
(c)Graph , and find the angle that maximizes the area . Also find the maximum area. Compare the results to the answer found earlier.
Angle of Repose: Deicing Salt Due to potential transportation issues (for example, frozen waterways) deicing salt used by highway departments in the Midwest must be ordered early and stored for future use. When deicing salt is stored in a pile feet high, the diameter of the base of the pile is feet.
(a) Find the angle of repose for deicing salt.
(b) What is the base diameter of a pile that is feet high?
(c) What is the height of a pile that has a base diameter of approximatelyfeet?
In Problems 57鈥� 80, solve each equation on the interval
Movie Theater Screens Suppose that a movie theater has a screen that is feet tall. When you sit down, the bottom of the screen is feet above your eye level. The angle formed by drawing a line from your eye to the bottom of the screen and your eye and the top of the screen is called the viewing angle. In the figure, is the viewing angle. Suppose that you sit feet from the screen. The viewing angle is given by the function:
(a) What is your viewing angle if you sit feet from the screen? feet? feet?
(b) If there is feet between the screen and the first row of seats and there is feet between each row, which row results in the largest viewing angle?
(c) Using a graphing utility, graph
.
Projectile Motion A golfer hits a golf ball with an initial velocity of 100 miles per hour. The range R of the ball as a function of the angle to the horizontal is given by where R is measured in feet.
(a) At what angle should the ball be hit if the golfer wants the ball to travel 450 feet (150 yards)?
(b) At what angle should the ball be hit if the golfer wants the ball to travel 540 feet (180 yards)?
(c) At what angle should the ball be hit if the golfer wants the ball to travel at least 480 feet (160 yards)?
(d) Can the golfer hit the ball 720 feet (240 yards)?
What do you think about this solution?
We value your feedback to improve our textbook solutions.
Explanations 
Textbooks 
Flashcards 
91影视 AI 
Notes 
Study Plans 
Study Sets 
Find a degree 
Magazine