University of Toronto at Scarborough Department of Computer and Mathematical Sciences MATA37 Calculus II for Mathematical Sciences Assignment #7 Work on the text material and the problems below in preparation for your tutorial on Tuesday, July 17. You wil
University of Toronto at Scarborough Department of Computer and Mathematical Sciences MATA37 Calculus II for Mathematical Sciences Summer 2007
Assignment #8
Work on the text material and the problems below in preparation for your tutorial on Tuesday, July
University of Toronto at Scarborough Department of Computer and Mathematical Sciences MATA37 Calculus II for Mathematical Sciences Summer 2007
Assignment #9
This is the last assignment. Work on the text material and the problems below in preparation for t
1. Find the arc length of the following curve: the graph of the function f (x) = 12 (ex + ex ) for
x [0, ln(2)]. (Hint: the integrand will simplify in the end to something that does not involve
a square root.)
The first thing to do is to parametrize the c
514 CHAPTER 7 - INTEGRATION TECHNIQUES
The integral is evaluated as follows:
L
l+ cosx
1
_—cotx + cscx + C.
1 1_Cosxd Mlt'l bl
————-——— x .
l+cosx1—cosx Ulpy y
1 — cosx
/—-—2dx Simplify.
l — cos x
l — cosx
/———. 2 dx l—C052x=sin2x
Sin 3:
1 cosx
/ I 2
University of Toronto at Scarborough Department of Computer and Mathematical Sciences MATA37 Calculus II for Mathematical Sciences Assignment #6 Work on the text material and the problems below. You will have a quiz on the material in Assignment 5 or 6 (a
University of Toronto at Scarborough Department of Computer and Mathematical Sciences MATA37 Calculus II for Mathematical Sciences Summer 2007
Assignment #1
Work on the text material, current lectures and the problems below in preparation for your 1st tut
University of Toronto at Scarborough Department of Computer and Mathematical Sciences MATA37 Calculus II for Mathematical Sciences Summer 2007
Assignment #2
Work on the text material, current lectures and the problems below in preparation for your 2nd tut
University of Toronto at Scarborough Department of Computer and Mathematical Sciences MATA37 Calculus II for Mathematical Sciences Summer 2007
Assignment #3
Work on the text and lecture material and the problems below in preparation for your 3rd tutorial
University of Toronto at Scarborough Department of Computer and Mathematical Sciences MATA37 Calculus II for Mathematical Sciences Summer 2007
Assignment #4
Work on the text material and the problems below in preparation for your 4th tutorial, which takes
University of Toronto at Scarborough Department of Computer and Mathematical Sciences MATA37 Calculus II for Mathematical Sciences Summer 2007
Assignment #5
Work on the text material and the problems below in preparation for your 5th tutorial on Tuesday,
Name: iéx Group Members:
Math 1 1320 Worksheet: II . Date: ‘
\
Objective: Volume by Slicing
Instructions: For each problem, sketch the region. For solids of revolution, clearlylable the axis of rotation and identify
the radius for a disc and inner and o