









Study with the several resources on Docsity
Earn points by helping other students or get them with a premium plan
Prepare for your exams
Study with the several resources on Docsity
Earn points to download
Earn points by helping other students or get them with a premium plan
This is a final examination for math 152-3 (calculus 3) at simon fraser university, department of mathematics, held on december 7th, 2005. The exam contains 13 questions covering various topics such as integration, improper integrals, region area, volume of solid of revolution, series, power series, maclaurin series, and complex numbers.
Typology: Exams
1 / 15
This page cannot be seen from the preview
Don't miss anything!










Simon Fraser University Department of Mathematics Burnaby and Surrey Campus
MATH 152 -3, Fall 2005 Final Examination December 7th, 2005
Last Name (please print): _________________________________________
First Name (please print): _________________________________________
Student Number: _________________________________________
Instructor: B. Kadonoff I. Mercer
Instructions:
Do not write in this table!
Question Marks 1 / 2 / 3 / 4 / (^5) / 6 / 7 / 8 / 9 / (^10) / 11 / 12 / 13 /
Total /
a)
2 3
1
b)
ln
e x
f)
3 1 ( 1)
∫ +
x
its value if it converges. [6 marks]
( 1) 0
∞ (^) − +
e x dx
[5 marks]
a) Sketch the region R.
b) Find the area R.
2 0 sin
π
following methods: [3 marks each = 6 marks]
a) Riemann sum with left end-points.
b) Trapezoid rule.
a)
3 2 3 0
∞
=
n n
b)
2
1
∞
=
n n n n
a) Write − 3 + i in polar form.
b) Find all the roots of z^4 = − 16.