M025 Take-Home Quiz XI & XII
Due on Thursday 11/8/12
If you solve 30 of the following problems completely correctly, you will
receive a full credit. These 30 must include at least 3 problems from each
I strongly suggest you to solve all the
M025 Exam Contract
I, _ (print full name), understand that, since the exams times
were contained in the IU registration system when I enrolled in M025, I have already agreed to
take the following departmental exams at the times spe
MATH M025 Precalculus Mathematics
Fall Semester, 2012
Class and departmental M025 policies can be found online at
Two years of high school
M025 Written Homework I
Due on Wednesday Aug.29
Verify the following formulas, that is, start from one side of the equation and end up with the other
side using algebraic operations.
1. x2 y 2 = (x y)(x + y)
Solution. (x y)(x + y) = x2 + xy yx y
Due on Wednesday 12/5/12
Properties of exponents: Let a, b be positive and r, s be arbitrary real numbers.
Properties of logarithms: Let u, v > 0 and a, b =f. 1 be positive real numbers.
1. loga 1 = 0, loga a
2. loga uv
Due on Tuesday 10/09/12
Please use the back of the pages if you need more space. Well-organized papers will be compensated for
points lost on simple mistakes. You can post under "Midterm" topic if you get stuck on som
M025 Quiz V
1. Solve the equation 3x2/3 + 4x1/3 4 = 0.
Letting u = x1/3 , we have 3u2 + 4u 4 = 0 (3u 2)(u + 2) = 0 u =
x1/3 = 3 or x1/3 = 2 x = 27 or x = 8.
2. Solve the inequality
or u = 2. Therefore,
> 0 and expres
Due on Monday 10/01/12
1. Given A( -3, 1) and B(5, -2), find the point on the segment AB that is one-fourth of the way from
A to B.
Let C be the midpoint of A and B. We calculate C
= ( - 32
Due on Halloween 10/31/12
1. Use the intermediate value theorem to show that f(x) = -2x 4 +5x3 -2x 2 +7x-5 has a zero between
2 and 3. Can you say that f(c) = -4 for some c such that 0 ~ c ~ 1?