Note: The grade on this FITB will result in up to 10 additional points being added to the curved
midterm exam grade. Regardless of whether you need the points, the problems should serve as
an excellent review for the final exam.
1. Input 999 if th
000-:-2- Verizon 2:21 PM
( Doc; Jun 16, 2017, 14:15
2. vii8v- Mom 13 dam.
3. Seward, Nebraska (43 55' N) and Austin Tums (3911914)th IE: on
mrIy the am tin: of lungiludc [97' W). Us: the fact that the corth's
man: Is cppmaiimmy 3999
Calculus I Online
Functions, limits, continuity, differentiation and integration of algebraic and trigonometric functions, applications of diff erentiation
and an introduction to applications of the definite integr
3.1 - Extrema on an Interval
Definition of Extrema:
Let f(x) be defined on an interval I containing c.
1) f(c) is the minimum of f on I if f(c) <= f(x) for all x in I.
2) f(c) is the maximum of f on I if f(c) >= f(x) for all x in I.
The maximum and minimu
1.5 - Infinite Limits
We will consider
as an answer for one-sided limits when
we plug in the value for c and we get nonzero divided by zero.
Vertical Asymptotes (VA)
x = 1 is a vertical asymptote
If f(x) approaches infinity (or negative infinity) as x
2.5 - Implicit Differentiation
Implicit and Explicit Form
Many implicit forms cannot be written explicitly:
Even though the function cannot
be written explicitly, we will use
a technique called implicit
Summer Calculus T12 Test 2 Review over Sections 3.5 through 3.8 and Chapter 4
Ms. Zachary- LSC- Tomball College-Mathematics
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Find the deriv
3.5 - Limits at Infinity
Defn of a Horizontal Asymptote (HA)
Thrm 3.10 - Limits at Infinity
If r is a positive rational number and c is any real number, then
Be careful to recognize what x is approaching when evaluating a limit.
Using the Squeeze Thrm:
get/3cm: EMM not WIW W
Convert the degree measure to radians. Leave answer as a multiple of n. I
1) 36 5
Use a table or a calculator to evaluate the function. Round to four decimal places. I 0 -7, 0 g
2) sec 0.2020
SHORT ANSWER. Write th
CQ" MM: t W
Trig Graphs Re"Qu1z Multlple Choice - \
(3 pomts each)
What is the minimum value of f(6) in the equation 6. What is. the amplitude of the function shown in
e) =3 sin 49? ' the accoipanying graph?
What is the maximum value of y for the equation
Review of Net/Total area, Area between two curves, Volume, length and
1. Given velocity function
V(t) = 2 6 + 8, 0 5;
a) Graph the velocity function over the given interval
b) Find the displacement
c) Find the distance traveled
2. Repeat Part
Negative Exponent Rule: (1/b)x = b-x
inverse property of logarithms: blogbx=x
x = x1/2
Graphing y=e : (Natural Log)
The x-int is always 1.
The Domain of a Logarithmic Function xy=logax is equal to the range of the
MATH 2320 Ordinary Differential Equations Exam #2 Review
Use power series to find two linearly independent solutions for the following differential equations. Credit will only be
given for using power series methods.
Calculate the Laplace
Guided Student Notes
310 Intermediate Algebra
10.1 The Square Root Property and Completing the Square
Steps for Solving an Equation by the Square Root Property
Solve each quadratic equation by using the square root property.
1) g 2 36
2 f 5