Calculus 152, Section 41
Instructor: Chris Skalit
Quiz 5
Name:
1. (3 points) Consider the region, , enclosed by y = x2 and y = 2 x. Compute the
volume of the solid resulting from rotating about the x-axis.
Solution: To nd the x bounds of the region, we so
REVIEW SHEET FOR FIRST MIDTERM
MATH 15200, SECTION 21
This review sheet begins from the material covered this quarter. You may also nd it helpful to ip
through review sheets prepared for the previous quarter, particularly the review sheet for the nal. Som
REVIEW SHEET FOR FINAL
MATH 15200, SECTION 21
This review sheet covers the material that was covered after the second midterm. Please supplement this
material with review sheets prepared for the two midterms.
1. One-to-one functions
1.1. Vague generalitie
QUIZ ON CHAPTER 5
MATH 15200, SECTION 21
This quiz comprises only multiple choice questions. The quiz is divided into sections corresponding to
sections in the book. Before trying the questions in a section, please review homework problems and material
fr
QUIZ ON CHAPTER 4
MATH 15200, SECTION 21
This quiz comprises only multiple choice questions. The quiz is divided into sections corresponding to
sections in the book. Before trying the questions in a section, please review homework problems and material
fr
QUIZ ON CHAPTER 5
MATH 15200, SECTION 21
This quiz comprises only multiple choice questions. The quiz is divided into sections corresponding to
sections in the book. Before trying the questions in a section, please review homework problems and material
fr
QUIZ ON CHAPTER 6
MATH 15200, SECTION 21
This quiz comprises only multiple choice questions. These are meant to brush up your visualization skills
and most of them are not computationally heavy.
1. Analogy questions
These questions are meant to brush up y
QUIZ ON CHAPTER 4
MATH 15200, SECTION 21
This quiz comprises only multiple choice questions. The quiz is divided into sections corresponding to
sections in the book. Before trying the questions in a section, please review homework problems and material
fr
QUIZ ON CHAPTER 6
MATH 15200, SECTION 21
This quiz comprises only multiple choice questions. These are meant to brush up your visualization skills
and most of them are not computationally heavy.
1. Analogy questions
These questions are meant to brush up y
Calculus 152, Section 43
Instructor: Chris Skalit
Final Examination
Use of calculators, cell phones, notes, and the like is prohibited. If you nd yourself
completely stymied by a particular question, simply write I DONT KNOW
to receive 25% of the total po
Calculus 152, Section 43
Instructor: Chris Skalit
Second Hour Exam
Please attempt all questions and write your answers in the blanks provided. The use of
calculators, cellphones, notebooks, etc. is strictly prohibited. You have 50 minutes in total.
Good l
Calculus 152, Section 41
Instructor: Chris Skalit
Quiz 6
Name:
1. To train for a bouldering competition - or comp as its often, unfortunately, called - a
150lb climber clips a 5ft chain to his harness. Assume that the chain has a mass-density
of 10lb/ft.
Calculus 152, Section 41
Instructor: Chris Skalit
The Quiz That Never Was
Name:
1. Compute each of the following:
2
(a)
xex dx
(b)
logx 2
dx
x
(c)
log2 x
dx
x
(d)
53x+1 dx
2. Consider the function f (x) = xx , dened for x > 0. Where is this function incre
Calculus 152, Section 41
Instructor: Chris Skalit
Quiz 4
Name:
1. Evaluate the following denite integrals:
(a) (2 points)
cos x sin x + 8 dx
0
Solution: Putting u = sin x + 8 with du = cos x dx, we get
cos x sin x + 8 dx =
0
8
u du = 0
8
2x
dx
+ 8)3
Solut
Calculus 152, Section 41
Instructor: Chris Skalit
Quiz 3
Name:
1. Compute each of the following:
1
2x + 3x2 dx
(a) (2 points)
1
Solution: By simply computing the antiderivative of the integrand, we nd
1
2x + 3x2 dx = x2 + x3
1
(b) (2 points)
1
1
=2
cos x
Calculus 152, Section 41
Instructor: Chris Skalit
Second Hour Exam
You have 50 minutes to complete the exam. The use of calculators, cellphones, notebooks,
etc. is strictly prohibited. Partial credit will be awarded for answers that are either incomplete
Calculus 152, Section 41
Instructor: Chris Skalit
Quiz 1
Name:
1. (4 points) A particle is moving around the ellipse, y 2 + 4x2 = 1. As it passes through
the point, (0, 1), its x-coordinate is changing at a rate of 2 units/second. How fast is
its distance
Calculus 152, Section 41
Instructor: Chris Skalit
Quiz 2
Name:
1. Let f (x) = 1 x3 x2
3
(a) (3 points) Find the local maxima, minima, and inection point(s) of f .
Solution: We compute f (x) = x2 2x = x(x 2) from which we see that f
increases on (, 0) (2,
Calculus 152, Section 41
Instructor: Chris Skalit
First Hour Exam
You have 50 minutes to complete the exam. The use of calculators, cellphones, notebooks,
etc. is strictly prohibited. Partial credit will be awarded for answers that are either incomplete o
Calculus 152, Section 43
Instructor: Chris Skalit
First Hour Exam
Please attempt all questions and write your answers in the blanks provided. The use of
calculators, cellphones, notebooks, etc. is strictly prohibited. You have 50 minutes in total.
Good lu
Inserting Page Numbers
1. Open the Insert menu and select Page Numbers to open the Page Numbers dialog
box.
2. Click the down arrow next to the Position field and select whether you want the page
number at the top or bottom of the page. (You could also pu