1) We can't see the figure.
2) We are not going to do your homework for you. What have YOU done on this?
A steel pipe is being carried down a hallway 9 ft. wide. At the end of the hall there is a right-angled turn into a narrower hallway 6 ft. wide.
a.) Show that the length of the pipe in the figure is modeled by the function.
L(theta) = 9 csc (theta) + 6 sec (theta)
b.) Graph the function L for 0< (theta)< pi/2.
c.) Find the minimum value of the function L.
d.) Explain why the value of L you found in part (c.) is the length of the longest pipe that can be carried around the corner.
http://math.emich.edu/~enadler/cours...5_sampleQs.pdf
There is a website, if you scroll down to problem 20., thats what the problem in my book looks like.
Hello, aligator0207!
Here's part (a).
A steel pipe is being carried down a hallway 9 ft. wide.
At the end of the hall there is a right-angled turn into a narrower hallway 6 ft. wide.
a.) Show that the length of the pipe in the figure is modeled by the function:
. . . . .Code:C *-------------------------------o------ | * θ : | * :6 | B * : | o---------------o------ | * θ | E | θ * | | * | A o - - - - - - - o D | 9 | | |
The pipe is: .
Note that: .
In right triangle
In right triangle
Therefore: .