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
DOCENT
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)
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 f
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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 i
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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 det
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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
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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 exam
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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, h
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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
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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
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
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 ha
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 = 135,0000
Math 10250 Exam 2 Solutions Fall 2006
dp
100 200
100
=
=
= 10.
dq
25 15
10
2
2
2
2
(x + h) 3 x 3
21
2. The answer is (a). Indeed, lim
= (x 3 ) = x 3 . Hence the desired limit is the value of (x 3 ) at
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 ha
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 min
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
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 answer
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
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 prob
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]
Solut
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 n
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 justi
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!
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
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 e
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) = 0.1