Download Exam 1A Spring 2012 MA 22000 - Mathematics Problems and more Exams Calculus in PDF only on Docsity!
Charlotte Bailey, instructor
b)
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: ( ) 3 2 1
f x x x
Find the following.
a)^3 2
f ^
b)
) x x x
f
x x
x
x
- A closed rectangular box has length n 4 , width n 1 , and height n 3 (as shown). a) Write a polynomial function A n ( )to represent the area of the base of the box.
b) Write a polynomial function V n ( )to represent the volume of the box.
n +
^3
A ( n ) =
V ( n ) =
Charlotte Bailey, instructor
c) Represent the area of the base using a polynomial if both length and width are increased by 3 units.
- Find each product.
a)
2 2 2 2 4
2 6 (
y
y
y
y
b)^3 2
3 2 6 3
2 (3 ) 2(3 )
a a a
a
a
Solve each of the next three equations. Write solutions as rational numbers. If there is more than one solution, separate solutions with commas.
- Solve:
a a a a
a
a
a a
a a
- Solve:^7 5 x 7 x 5
Area:
Charlotte Bailey, instructor
11 4
9 3 11 3 11 6 5 6 2 4 2 4 4 4 1 1 2 4
time for 1st part: 1 hr., time for 2nd part: 1 hr.
x x x x x x
- 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?
2 2
1 1 2 2 1 1 91 2 ( 1) 91 2 ( 1) 1
height of triangle,
1 = base or base, 1 heig
ht
h h b b A bh A bh h h b b h h b b h h b b h h b b h h b b
13 is not reasonable. Height: 14 units 14 is not reasonable. Base = 13 units Base: 13 units
h h b b
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^2 3
. Use your equation to graph the line.
- An entry level job at a certain business had an annual salary of $30,000 in 2008 and an annual salary of $36,300 in 2011. Assume the annual salary for this job can be modeled by a linear equation in terms of time in number of years since 2005. a) Write an equation for the annual salary S in terms of the year. Let t = 3 represent 2008.
Point (3, 30000) represents $30000 in 2008 (year 3 after 2005) Point (6, 36300) represent $36300 in 2011
