Derivative Cookbook
Rule
Constant
Function
k (any constant)
Derivative
0
Single Variable
x
1
Constant Multiple
c f(x)
c f(x)
Sum and/or Difference
f(x) g(x)
f(x) g(x)
(Add/Subtract the derivatives)
Power Rule
xn
nxn1
(Bring exponent up front and subtract
MATH 103 Spring 2015 Test #3 Info
Test #3 is Thursday, April 16, 2015
Topics:
Graphing (Sect. 12.1 and 12.2)
Marginal Revenue, Cost, Profit (Sect. 10.7)
Max/Min Problems (Sect. 12.5 and 12.6)
Note that you may be asked to find derivatives using the proper
DIBUJO MECNICO
( MEC266 )
PROYECCIONES ORTOGONALES
O DE VISTAS MULTIPLES
PROFESOR: ING. FERNANDO QUEVEDO
Sistema de Proyeccin
Es un sistema por medio del cual puede ser definida la proyeccin
de un objeto sobre una superficie. Intervienen cuatro
elementos,
DIBUJO MECNICO
( MEC266 )
TOLERANCIAS
PROFESOR: ING. FERNANDO QUEVEDO
Tolerancias
La tolerancia es la cantidad total que le es permitido variar a
una dimensin especificada, donde es la diferencia entre los
lmites superior e inferior especificados.
_Las di
DIBUJO MECNICO
( MEC266 )
ELEMENTOS ROSCADOS Y
ACOTADO
PROFESOR: ING. FERNANDO QUEVEDO
Videos de procesos de fabricacin
Fabricacin de Tornillos
Varios de Torneado
http:/www.measurecontrol.com/comosefab http:/www.youtube.com/watch?
v=Beopq2r6j8k&feature=
Solving Linear Equations
I.
Introduction
A. An equation is a statement that two expressions are equal (it will always contain and equal
sign)
B. Root of the equation, makes the value of a variable true
C. A linear equation in one variable is an equation t
Today Shante was working in the jewelry
section of Nordstrom Rack when a customer
approached her
BROKEN WATCH!
The customer, Lola watch was
broken. Since the watch was a bit
outdated she made it clear that she
refused to spend no more than $75
on repairs.
The perimeter of a rectangle is 38 inches. If the length of a rectangle is six inches
less than four times the width, find the area of the rectangle.
Start out using the formula of perimeter.
2L+2W=38
38 was already given to us in the problem.
L = 4W  6
A Shoe In
A Shoe In, makes two different kinds of footwear, sandals and sneakers.
The material can make at least 240 pairs every day. The sneakers take 2
hours to make and the sandals take 1 hour to make. There are only 320
hours available to make these s
Math 103 Test #3 Key Formulas and Concepts
f(x) is increasing f(x) is positive
f(x) is decreasing f(x) is negative
f(x) is concave up f(x) is increasing f(x) is positive
f(x) is concave down f(x) is decreasing f(x) is negative
Critical value: Value of x i
MATH 103 Spring 2015 Test #1 Info
Test #1 is Thursday, February 12, 2015
Topics:
Sect. 10.110.5
You should be able to do problems similar to the MyMathLab Hw #1, #2.
You should be able to do the following: (Homework problems assigned)
Find the limit of a
MATH 103 Spring 2015 Test #2 Info
Test #2 is Thursday, March 5
Topics:
Sect. 11.1 to 11.4
You should be able to do problems similar to MyMathLab Hw #3 and Hw #4
You should be able to do the following: (Homework problems assigned)
Solve problems involving
Derivative Cookbook
Rule
Constant
Function
k (any constant)
Derivative
0
Single Variable
x
1
Constant Multiple
c f(x)
c f(x)
Sum and/or
Difference
f(x) g(x)
f(x) g(x)
(Add/Subtract the derivatives)
Power Rule
xn
nxn1
(Bring exponent up front and subtract
Derivative Cookbook
Rule
Constant
Function
k (any constant)
Derivative
0
Single Variable
x
1
Constant Multiple
c f(x)
c f(x)
Sum and/or
Difference
f(x) g(x)
f(x) g(x)
(Add/Subtract the derivatives)
Power Rule
xn
nxn1
(Bring exponent up front and
subtract
Math 103 Practice Test Fall 2014 Form B Answers
1)
2)
3)
VA: x = 0 (x = 3 is NOT a VA), HA: y = 0
4)
a) f(1) = 3
b) does not exist, = 3, = 1
c) f(x) is not continuous if x = 1 because dne
5)
a) f(1) = 1
b) = 1
c) f(x) is not continuous at x = 1 since f(1
Math 103 Fall 2014 Test #3 Form C Answers
1)
f(x) is increasing if x < 5, x > 1, f(x) is decreasing if 5 < x < 1
Local Max: x = 5, Local Min: x = 1
2)
f(x) is increasing if x < 0, x > 6, f(x) is decreasing if 0 < x < 3, 3 <
x<6
Local Max: x = 0, Local
MATH 103, Fall 2014, Test #3, Form C
Thur. Nov. 13
Mr. Wong
Name_
Show all work as partial credit may be given. Correct answers without proper work will not receive
full credit. All applicable derivatives and equations must be shown.
All answers must cont
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MATH 103, Fall 2014, Test #1, Form B
Thur. Sept. 18
Mr. Wong
Name_
Show all work as partial credit may be given. Write your final answers on the lines provided.
All answers must contain only positive exponents.
Problems 18 are worth 8 points each. Proble
MATH 103, Fall 2014, Test #2, Form A
Thur. Oct. 9
Mr. Wong
Name_
Show all work as partial credit may be given. Write your final answers on the lines/spaces provided.
All answers must contain only positive exponents except an e may have a negative exponent
Problem: An isosceles right triangle has legs measuring (x
+ 1) cm each. The hypotenuse has measure (x + 5) cm.
Find x.
Use the Pythagorean Theorem
a2 +b 2=c 2
a and b are both (x+1) and c is (x+5)
Plugin values that we know and solve for x
(x+ 1)2 +( x +