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Name: is E Y Mathl9l MW Exam #1 Fall 17 Citrus College Jesus Gutierrez
Instructions: To receive credit, you must show the work leading to the problems solution.
(10 points) (6 points)
1. Find and simplify the exact area bounded by the given 3. Please W
Product, quotient and chain rules, first and second derivatives, effect on the graph, curve sketching,
L'Hopital's rule, Maxima and minima, Newton's Method, antiderivatives.
You should have read all the sections from 3.1 to 3.9 and by now know all the exa
Math 191 Calculus with Analytic Geometry II
Spring 2016 - Citrus College
Instructor:
Email:
Office hours:
Edward Pang
[email protected]
M 9:40 10:10 am
(CI 235/236)
Lectures:
Classroom:
CRN:
Section:
MTWR 7:00 am 8:10 am
MA 124
32879 (5 credits)
003
Test 5 Study Guide
Math 191 Calculus with Analytic Geometry II
Spring 2016 Citrus College
Test 5 will be on Thursday, May 5, 2016. A scientific or graphing calculator will be allowed. There will be
10 questions on the following topics. We will review the
Study Guide Math 190 Test 2: Product, quotient and chain rules, first and second derivatives, effect on
the graph, curve sketching, L'Hopital's rule, Maxima and minima, Newton's Method, antiderivatives.
You should have read all the sections from 3.1 to 3.
Test 3 Study Guide
Math 191 Calculus with Analytic Geometry II
Spring 2016 Citrus College
Test 3 will be on Tuesday, April 5, 2016. No calculators will be allowed.
There will be 12 questions on the following topics. We will be reviewing the listed problem
Test 2 Study Guide
Math 191 Calculus with Analytic Geometry II
Spring 2016 Citrus College
Test 2 will be on Thursday, March 17, 2016. No calculator will be allowed.
There will be 10 questions on the following topics. We will be reviewing the listed proble
Obviously I can't put all this stuff on the test. So this guide covers what is fair game for the test, that is
anything here might show up on the test. To study effectively, read the referenced sections for deep
understanding. That means work through the
Solve the equation.
2
m 7m 60 = 0
Rearrange the terms in descending order of the variable, if
necessary. This expression, m2 7m 60, is already in
descending order.
Combine any like terms and factor the expression.
m2 7m 60 = 0
(m 12)(m + 5) = 0
Use the ze
Complete the trinomial so that it is a perfect square. Then factor the trinomial.
b2 + 40b
2
To complete the square for b + 40b, begin by taking half of the coefficient of b.
In the expression, the coefficient of b is 40.
Half of the coefficient of b is 2
Lial: Beginning Algebra, 11e
MATH 030
CRN #
Ch. O: Orientation Questions for Students
O.1 Answering Exercises Orientation
Become familiar with the exercise area and practice entering answers.
Ch. 1: The Real Number System
1.1 Fractions
Identify numbers as
2
Write the equation in the form ax + bx + c = 0 where a > 0, if necessary. Then identify the values of a, b, and c. Do not
actually solve the equation.
2
6x + 7x + 11 = 0
2
2
First, remember that a is the coefficient of x in the equation 6x + 7x + 11 = 0
Write the expression using exponents.
20 20 20 20 20 20 20 20
An exponential expression has two parts, the base and the
exponent. The base tells what number is being multiplied by
itself.
In this product the base is 20. It is the number being
multiplied b
Find the numerical value of the rational expression when (a)
x = 2 and (b) x = 3.
Substitute 2 for x in the expression
9x 14
2x
9 (2) 14 4
=
2 (2)
4
9x 14
.
2x
Since the numerator and denominator are equal, the
rational expression equals 1 when x = 2.
N
Identify the following number as prime, composite, or neither. If the number is composite, write it as the product of prime
factors.
23
A natural number greater than 1 is prime if it has only itself and 1 as factors. A natural number greater than 1 that i
Identify the following number as prime, composite, or neither. If the number is composite, write it as the product of prime
factors.
23
A natural number greater than 1 is prime if it has only itself and 1 as factors. A natural number greater than 1 that i
The difference in price over a period of time is the difference
between the price at the beginning of the period and the
price at the end of the period. Subtract the lower price from
the higher price.
Because the graph rises by the largest amount from 200
Simplify the expression.
5t + 17 9
Calculate 17 9.
17 9 = 8
Thus 5t + 17 9 = 5t + 8
Since 5t and 8 are not like terms, they cannot be combined. Therefore the problem has been fully simplified.
The answer is 5t + 8.
Simplify the expression.
7 + 2(s 5t)
Use
Multiply.
This exercise asks you to multiply two numbers together.
( 9)(5)
The first step is to multiply the absolute values, that is,
multiply the numbers without considering the signs.
9 5 = 45
Now, your final answer will either be positive 45 or negati
Identify the following number as prime, composite, or neither. If the number is composite, write it as the product of prime
factors.
23
A natural number greater than 1 is prime if it has only itself and 1 as factors. A natural number greater than 1 that i
Add.
4 + ( 6)
This exercise asks you to add two numbers with the same
sign without using a number line. When adding two
numbers with the same sign, you must take the sum of their
absolute values.
The absolute value of 4 is 4.
The absolute value of 6 is 6
Tell which real number corresponds to the situation.
During a game show, a person wins 900 dollars.
In this problem you are asked to identify the integer which corresponds to the given situation. In particular, you must
decide whether a positive or a nega
Evaluate
cd
for c = 28 and d = 4.
2
To evaluate an expression, substitute the given numbers for the variables, and carry out the calculations.
Substitute 28 for c in the expression.
Substitute 4 for d in the expression.
Substitute and perform the calculat
Use the indicated property to write a new expression that is equal to the given expression. Then simplify the new
expression.
(w + 7) + ( 5); associative
The statement of the associative property is (a + b) + c = a + (b + c).
Use this property to rewrite
Write the word statement in symbols.
Seventeen is five plus twelve.
To translate a statement in words into symbols, begin by translating the statements involving numbers into the symbols for
those numbers.
seventeen is five plus twelve
17 is 5 plus 12
Nex
NAME: _
Review WS for Math 150 Intermediate Algebra
Linear equation: Solve the following linear equation and label it as conditional, identity or contradiction
1/ (2 x 7) 15 2(3 x 5) 2(3 2 x) 18
ans : x , no solution
2 x 1 3 x 4 x
3/
3
2
4
ans : x 2, cond