Download MA 22000 Exam 1 Spring 2012 - Mathematics Problems and more Exams Calculus in PDF only on Docsity!
Charlotte Bailey, instructor
Show sufficient work for all problems. Circle your final answers. Manage your time; don’t spend too long on any one problem.
- Given the function:
x f x x
Find the following.
(3 points each)
a)
f
^
b) f ( x 3)
- A closed rectangular box has length n 4 , width n 1 , and height n 3 (as shown). (2 pt) a) Write a polynomial function A n ( )to
represent the area of the base of the box.
(5 pt) b) Write a polynomial function V n ( )to represent the volume of the box.
(4 pt.) c) Represent the area of the base using a polynomial if both length and width are increased by 3 units.
- Find each product.
n +
^3
A ( n ) =
V ( n ) =
Area:
Charlotte Bailey, instructor
- Find each product. (5) points each)
a) (6 2 y^2^ )(6 2 y^2 ) b) (3 a 3^ 7)^2
Solve each of the next three equations. Write solutions as rational numbers. If there is more than one solution, separate solutions with commas.
- Solve: 4( a 2) 7 a 12 3(6 a )
(9 points)
- Solve:
5 x 7 x 5
(6 points)
a) b)
a =
x =
Charlotte Bailey, instructor
On the first part of a 163 mile trip, a driver averaged 62 miles per hour. Due to moderate traffic, the driver only averaged 56 miles per hour for the remainder of the trip. The total driving time of the trip was 2 hours 45 minutes. Find the amount of driving time for each part of the trip. (10 points)
The base of a triangle is one unit less than the height of the triangle. The area of the triangle is 91 square units. Write an equation to find the length of the base of the triangle. What is this length? (10 points)
Distance Rate Time
1 st^ part
2 nd^ part
1 st^ part: hours
2 nd^ part: hours
units
Charlotte Bailey, instructor
- Find the equation of a line (in slope-intercept form, y mx b ) that passes through the
point (6, 2)and has the slope
. Use your equation to graph the line.
(7 points)
Equation of line:
