|
|
|
math21 2007s exam3.pdf
math21_2007s_exam3.pdf
Showing 1 out of 1
Applied Mathematics | 21 | Calculus of a Single Va...
Applied Mathematics | 21 | Calculus of a Single Variable I | exam |Math 21: Calculus I Midterm Exam 3 UC Merced, Spring 2007 • On the front of your blue book print (1) your name, (2) your student ID number, (3) your discussion section number, and (4) a grading table. • Show all work in your blue book and BOX IN YOUR FINAL ANSWERS where appropriate. • Please start each problem on a new page. There are a total of three problems on both s
Applied Mathematics | 21 | Calculus...
Applied Mathematics | 21 | Calculus of a Single Variable I | exam |Math 21: Calculus I Midterm Exam 3 UC Merced, Spring 2007 • On the front of your blue book print (1) your name, (2) your student ID number, (3) your discussion section number, and (4) a grading table. • Show all work in your blue book and BOX IN YOUR FINAL ANSWERS where appropriate. • Please start each problem on a new page. There are a total of three problems on both s
Page 1
Math 21: Calculus I
Midterm Exam 3
UC Merced, Spring 2007
•
On the front of your blue book print (1) your name, (2) your student ID number, (3) your discussion
section number, and (4) a grading table.
•
Show all work in your blue book and BOX IN YOUR FINAL ANSWERS where appropriate.
•
Please start each problem on a new page. There are a total of three problems on both sides of this
paper and a total of 100 points.
•
NO books, notes, crib sheets, calculators or any other electronic devices are allowed.
Show your reasoning clearly for all problems. A correct answer with no supporting work may receive
no credit while an incorrect answer with some correct work may receive partial credit.
1. Solve the following unrelated problems.
(a) (15 points) Evaluate
lim
x
→
0
x
ln(
x
)
.
(b) (15 points) Find the average value of
g
(
x
)=1+2
x
over
[0
,
2]
.
(c) (10 points)
f
is an even function. Assume that
5
-
2
f
(
x
)
d
x
=4
and
2
-
2
f
(
x
)
d
x
= 10
. Find
5
0
f
(
x
)
d
x
.
2. Solve the following unrelated problems by writing down an expression for the quantity asked for.
DO NOT EVALUATE.
(a) (10 points) A Riemann sum to estimate the definite integral
2
0
sin(
x
2
)
dx
with
n
=4
terms and
using left endpoints.
(b) (10 points) The exact area enclosed between
y
=
x
2
and
y
=
x
3
.
(c) (10 points) The median house price in California was 194.3 thousands of dollars in 1990. It is
changing at a rate of
r
(
t
)
thousands of dollars per year, where
t
is measured in number of years
since 1990. What is the median house price in 2006?
3. (30 points) A farmer has 120 meters of wire fence with which he plans to build two identical adjacent
pens, as shown in picture. What is the maximum possible total area of these two pens?
Ace your assessments! Get Better Grades
Browse thousands of Study Materials & Solutions from your Favorite Schools
University of California-...
University_of_California-Merced
School:
Calculus_of_a_Single_Variable_I
Course:
Great resource for chem class. Had all the past labs and assignments
Leland P.
Santa Clara University
Introducing Study Plan
Using AI Tools to Help you understand and remember your course concepts better and faster than any other resource.
Find the best videos to learn every concept in that course from Youtube and Tiktok without searching.
Save All Relavent Videos & Materials and access anytime and anywhere
Prepare Smart and Guarantee better grades
Know more
Students also viewed documents
lab 18.docx
lab_18.docx
Course
Course
3
Module5QuizSTA2023.d...
Module5QuizSTA2023.docx.docx
Course
Course
10
Week 7 Test Math302....
Week_7_Test_Math302.docx.docx
Course
Course
30
Chapter 1 Assigment ...
Chapter_1_Assigment_Questions.docx.docx
Course
Course
5
Week 4 tests.docx.do...
Week_4_tests.docx.docx
Course
Course
23
Week 6 tests.docx.do...
Week_6_tests.docx.docx
Course
Course
106
