HOMEWORK #1
Directions: Complete each of the following problems, showing all work necessary to justify your
answers. This assignment is worth 10 points. Good Luck, and Dominate.
1.
For what value of k are the two parallel lines 2 x  ky  3 and x  y  1 perpendicular? [2 points]
2.
Dayton Power and Light, Inc., has a power plant on the Miami River where the river is 800 feet
wide. To lay a new cable from the plant to a location in the city 2 miles downstream on the
opposite side costs $180 per foot across the river and $100 per foot along the land.
Suppose that the cable goes from the plant to a point Q on the opposite side that is x feet from the
point P directly opposite the plant. Write a function C(x) that give the cost of laying the cable in
terms of the distance x. [2 points]
Calculus: Homework #1
3.
If f  x    x2  x and g  x   3x  3 , find the following:
(a)
f x  gx [1 point]
(b)
f ( x)
[1 point]
g ( x)
(c)
f  g ( x)  [1 point]

(d) The domain and range of (a), (b), and (c). [3 points]
f x  gx

Calculus: Homework #1
f ( x)
g ( x)
f  g ( x) 