Math 110College Algebra
Pretest A, Form: A
This 34 problem test is given as a tool to help you determine if you are properly prepared for Math 110 at BYUIdaho. You should work these problems without a calculator. Be completely honest in taking this test.
Practice Test #1 MAT 242
(1) Identify (a) the order of the DE, (b) the dependent and independent variables, (c)
whether the DE is linear or non-linear:
(a)
d3y
dy
sin(t ) y 0
3
dt
dt
(b)
d2y
dy
y 3 0
2
dx
dx
(2) Draw the slope field for the DE, and class
Practice Problems Test #6 MAT 242
(1) Determine the first three terms in the Taylor polynomial approximations for the given
initial value problem.
(a) y x 3 y 2 ; y (0) 1
(b) y y 0, y (0) 0, y(0) 1
(2) Determine the convergence set for the given series:
(
Practice for Test #2 MAT 242
(1) A brine solution of salt flows at a constant rate of 2L/min into a large tank that
initially held 200L of pure water. The solution inside the tank is kept well stirred and
flows out of the tank at a rate of 1L/min. If the
Practice Final MAT 242
(1) Solve by separation:
dy (1 2 x)
dx
y
(2) An object of mass 10kg is released from rest 1500m above the ground and allowed to fall under the
influence of gravity. Assuming the force due to air resistance is proportional to the vel
Practice MAT 242(1) Find the general solution of the Differential equation:
For Spring 2005 class, you can disregard #8(c) and (d), but you might try doing these
problems with the variation of parameters method instead, since I would consider such a
probl
(1) Evaluate the improper integral: ce-st dt.
(2) Find the Laplace Transform Lcfw_ t , directly (i.e. by calculating the improper integral
0 te-st dt. )
(3) Find the Laplace transform by using table 6.2.1 on p. 304:
(a) Lcfw_ t2 + cos 4t
(b) Lcfw_ e2t -
(1) Find the Laplace transform of the function:
(a) f (t ) u2 (t )(t 2)
0, t 3
(b) f (t )
2
(t 3) , t 3
(2) Use Laplace transforms to solve the DE:
y 2 y 2 y u (t ) u2 (t ), y(0) = 0, y'(0) =0.
Solutions:
(1) (a) notice that (t - 2) is the function g(t)
Consider the two tanks shown in the figure below. Assume that tank A contains 50 gallons of water in
which 25 pounds of salt is dissolved. Suppose tank B contains 50 gallons of pure water. Liquid is pumped
into and out of the tanks as indicated in the fig
Homework chapter 4.1-5.2
Use the following to answer question 1:
A certain species of tree has an average life span of 130 years. A researcher has noticed a large
number of trees of this species washing up along a beach as driftwood. She takes core sample
Name_
Date_
MAT 110 College Algebra Test 2
Spring 2015
1. For each polynomial, state the degree, the leading term, and the leading coefficient
4
2
a.
f ( x)=x 2 x +1
b.
f ( x)=2 x 35 x2 +3 x +2
2. For the following polynomial, state the end behavior and r
MAT 110
Practice Exam
Name:_
1.
If the initial velocity of a projectile is 150 feet per second, then its height h,
in feet, above the ground is a function of time t, in seconds. This function is given
2
by h ( t ) =16 t +150 t . When will the projectile h