TAREA ACADMICA N 01
FILOSOFA
UNIVERSIDAD CONTINENTAL DE CIENCIAS E INGENIERA
MODALIDAD VIRTUAL
PROGRAMA DE INGENIERA INDUSTRIAL
ASIGNATURA DE
FILOSOFIA
ELABORADO POR:
SAMAN CCERES, BARNABY JHON
DOCENTE:
RONAL BOLIVAR HUANCA
AREQUIPA PER
2017
TAREA ACADMIC
Name
Date
Math 10250 Activity 9: Compound Interest and the Number e (Sec. 2.2)
Last time: Let A(t) be the balance at time t (years) of a bank account earning interest at an annual
rate r (in decimals) compounded n times a year. Then we have:
A(t) = P 1 +
Name
Date
Math 10250 Activity 8: Exponential Functions (sect. 2.1)
GOAL: Learn exponential functions with dierent bases and use them to model real-world situtations.
Exponential functions are of the form : f (x) = bx , where b > 0 is called base, like f (
Name
Date
Math 10250 Activity 7: Continuity (Sec. 1.3)
GOAL: Understand the concept of continuity and its basic properties, including the intermediate value
theorem.
y
Idea of Continuity: A function is continuous if you
never have to lift your pencil whil
Name
Date
Math 10250 Activity 6: Limits.(sect. 1.2 cont.), and Continuity (sect. 1.3)
GOAL: Understand behavior of functions at and horizontal asymptotes. For rational functions
the behavior at is determined by the leading tearms.
Limits at innity and hor
Name
Date
Math 10250 Activity 5: One-sided and Innite Limits (sect. 1.1 cont. & sect. 1.2)
GOAL: To learn about the limit of a function f (x) as x approaches to a number a from one side (left
or right), get an understanding of innite limits and relate the
Name
Date
Math 10250 Activity 3: Polynomial, Rational, and Power Functions (sect. 0.6)
GOAL: To learn the basic properties and beheavior of Polynomial, Rational, and Power Functions.
Q1: Write an example of a function which is:
linear:
quadratic:
cubic
Name
Date
Math 10250 Activity 4: Limits (Sect. 1.1)
GOAL: To obtain an intuitive understanding of the fundamental concept of limit and learn rules for
computing it.
x2 2x 3
Q1: Using your intuition, how would you interpret the statement: The function f (x
Name
Date
Math 10250 Activity 2: Linear and Quadratic Functions (sect. 0.4 and 0.5)
GOAL: Understand the concept of slope for lines and linear functions and learn how to visualize
quadratic functions by completing the square.
y
A linear function is a func
Name
Date
Math 10250 Activity 1: Functions and their Geometric Properties1 (Sec. 0.20.3)
GOAL: Understand the fundamental concept of function as a relation between variables expressed by
a formula, a graph, or a table and use it to model change.
Q1: What
Math 10250 Exam 1 Solutions Fall 2008
1 At t = 0 wind energy production was w = 16.8 MW and was growing at the rate (slope) 5.2 MW/year. Using
the point-slope formula we obtain the equation w 16.8 = 5.2(t 0), or w = 5.2t + 16.8.
2 At t = 0 wind energy pro
Math 10250 Exam 2 Solutions Fall 2008
1. Applying the product rule we obtain f (x) = 2x ln x + x = x(2 ln x + 1). Setting f (x) = 0 gives
x(2 ln x + 1) = 0. Since x is in the domain of ln x we must have x > 0. Thus, we get the equation
2 ln x + 1 = 0, or
Math 1250 Final Exam Solutions Fall 2008
1.) We need to nd the equation of the line passing from the points (t1 = 0, E1 = 20, 000) and
,
(t2 = 5, E2 = 135, 000). The slope of this line is E = 135,000020,000 = 1155000 = 23, 000. Therefore
t
5
busing the po
Math 10250 Exam 3 Solutions Fall 2006
1. R(q ) =
72q
,
q +2
q 0; R (q ) =
144
(q +2)2
288
(q +3)3
> 0, R (q ) =
72q
2. P (q ) = q+2 4q , q 0; P (q ) =
answer is (a).
144
(q +2)2
< 0; the answer is (c).
4 and P is maximum at q = 4 with P (4) = 32; the
3.
Math 10250 Exam 3 Solutions Fall 2006
1. R(q ) =
72q
,
q +2
q 0; R (q ) =
144
(q +2)2
288
(q +3)3
> 0, R (q ) =
72q
2. P (q ) = q+2 4q , q 0; P (q ) =
answer is (a).
144
(q +2)2
< 0; the answer is (c).
4 and P is maximum at q = 4 with P (4) = 32; the
3.
Math 10250 Exam 2 Solutions Fall 2008
1. Applying the product rule we obtain f (x) = 2x ln x + x = x(2 ln x + 1). Setting f (x) = 0 gives
x(2 ln x + 1) = 0. Since x is in the domain of ln x we must have x > 0. Thus, we get the equation
2 ln x + 1 = 0, or
Math 10250 Exam 1 Solutions Fall 2013
1.) We are given that V (0) = 12, 000 and V (5) = 2, 000. Therefore the slope is m =
2000. Therefore, V (t) = 2000t + 12, 000.
V
t
= 10, 000/5 =
2.) Since the minimum cost occurs at q = 10, we know that h = 10 (this i
Math 10250 Exam 1 Solutions Fall 2008
1 At t = 0 wind energy production was w = 16.8 MW and was growing at the rate (slope) 5.2 MW/year. Using
the point-slope formula we obtain the equation w 16.8 = 5.2(t 0), or w = 5.2t + 16.8.
2 At t = 0 wind energy pro
First Midterm Exam - Matthl 005 Fall 2010
Friday - October First 2010
Instructions:
The exam consists of 6 questions and 2 bonus questions. You can choose any 5 whole problems
to answer. If you answered all of them, only the rst 5 problems will be graded.
Math 212 Fall 2016 Midterm 1
Your section (circle one):
Dr. Hoang
10 a.m.
Dr. Hoang
11 a.m.
Dr. Lukic
Dr. Mukamel Inst. Wolff
Your name (print):
Honor Pledge (sign):
On my honor, I have neither given nor received any unauthorized aid on this
exam.
Number
First Midterm Exam
Math 101 Fall 2011
Instructions: This is a 75 minute exam. You may not consult any notes or books during the
exam, and no calculators are allowed. Show all of your work on each problem. Attach extra
paper if you need more space.
Name:
S
Practice Midterm Exam 1 - Solutions
1. Let
f (x) =
1
.
2x + 3
(a) Draw the graph of f . Label all the asymptotes and axis intercepts. [5 points]
y
x
(b) Compute a formula for f 1 (x). [3 points]
Solution: We exchange x and y and solve for y:
x=
1
2y + 3
=
Math 101 Section 001
Midterm 1 September 24th 2010
Page 1 of 8
This midterm exam has 5 questions on 8 pages, for a total of 39 points.
Duration: 50 minutes
Full Name:
Student-No:
On my Honor, I have neither given nor received any unauthorized aid on this
First Midterm Exam
Math 101 Fall 2013
Instructions:
This is a 75 minute exam.
You may not consult any notes or books during the exam, and no calculators are allowed.
Show all of your work and justify your steps on each problem. We reserve the right to
Math 212 Section 006: Multivariable Calculus
Instructor: Dr. Vu Hoang
Office:
HBH 454
Email:
[email protected]
Class Webpage: TBA
Time:
Classroom:
Office Hours:
Fall 2016
MWF 2:00-2:50PM
HUM 117
TBA
TA sessions: TBA.
Text: James Stewart: Calculus. Early T
Math101 Section 001: Single Variable Calculus I
9:00-9:50am 2/16/2011
Exam 1
Instructions: Answer all questions to the best of your ability, justifying your answers as much as you
can. Show your work! Answers without any justification will receive very li
1. Let
f (x) =
1
.
2x + 3
(a) Draw the graph of y = f (x). Label all the asymptotes and axis intercepts. Use the
grid provided below for your final answer. [5 points]
y
x
3
(b) Compute a formula for f
1
(c) What is the range of y = f
(x). [3 points]
1
(x)
2017 Spring - Math 212 - Homework 04
Due: Friday, February 3. Notice that this pdf consists of three pages.
(1) Consider the plane
H1 : x y + z = 4
(a) Show that the line described by the parametric equation
L : (t, 3 + 4t, 7 + 5t)
is contained in H1 .
(b
Math 10250 Final Exam Solutions Fall 2009
1. The slope is m =
q = 20p + 190.
q
50 90
40
=
=
= 20, and the equation is q 90 = 20(p 5), or
p
75
2
2. The revenue function is R = q p = q (0.1q + 40) = 0.1q 2 + 40q , while the cost function is
C = 5q . Therefo