Math 1007, Fall 2006
(These slides replace neither the text book nor the lectures.)
Part IV: Applications of Derivatives & Curve Sketching
27. Maximum and Minimum Values (p. 76-82) 28. Critical Number
Test 4, Wednesday,March 18, 2009
MATH 1007 G
Last Name :_ ID #:_
First Name:_
No Calculators are allowed. Show your work Question 1. [5 marks] Use LHospitals rule to evaluate the following limits. For
MATHEMATICAL TRIPOS
Monday 6 June 2005
Part II
1.30 to 4.30
PAPER 1
Before you begin read these instructions carefully.
The examination paper is divided into two sections. Each question in Section II
MATHEMATICAL TRIPOS
Tuesday 1st June 2004
Part IA
1.30 to 4.30
PAPER 3
Before you begin read these instructions carefully.
Each question in Section II carries twice the number of marks of each questio
MATHEMATICAL TRIPOS
Monday 6 June 2005
Part IA
9 to 12
PAPER 4
Before you begin read these instructions carefully.
The examination paper is divided into two sections. Each question in Section II
carri
MATHEMATICAL TRIPOS
Thursday 29 May 2003
Part IA
9 to 12
PAPER 1
Before you begin read these instructions carefully.
Each question in Section II carries twice the credit of each question in Section I.
MATHEMATICAL TRIPOS
Friday 9th June, 2006
Part IB
1.30 to 4.30
PAPER 4
Before you begin read these instructions carefully.
Each question in Section II carries twice the number of marks of each questio
MATHEMATICAL TRIPOS
Friday 4 June 2004
Part IB
1.30 to 4.30
PAPER 4
Before you begin read these instructions carefully.
Each question in Section II carries twice the credit of each question in Section
MATHEMATICAL TRIPOS
Monday 31 May 2004
Part II
Alternative B
1.30 to 4.30
PAPER 1
Before you begin read these instructions carefully.
The number of marks for each question is the same.
Additional cred
MATHEMATICAL TRIPOS
Wednesday 8 June 2005
Part IB
1.30 to 4.30
PAPER 2
Before you begin read these instructions carefully.
Each question in Section II carries twice the number of marks of each questio
MATHEMATICAL TRIPOS
Tuesday 6th June, 2006
Part IA
1.30 to 4.30
PAPER 3
Before you begin read these instructions carefully.
The examination paper is divided into two sections. Each question in Section
MATHEMATICAL TRIPOS
Friday 2nd June, 2006
Part IA
1.30 to 4.30
PAPER 2
Before you begin read these instructions carefully.
The examination paper is divided into two sections. Each question in Section
MATHEMATICAL TRIPOS
Friday 28th May 2004
Part IA
1.30 to 4.30
PAPER 2
Before you begin read these instructions carefully.
Each question in Section II carries twice the number of marks of each question
MATHEMATICAL TRIPOS
Wednesday 2 June 2004
Part IB
1.30 to 4.30
PAPER 2
Before you begin read these instructions carefully.
Each question in Section II carries twice the credit of each question in Sect
MATHEMATICAL TRIPOS
Tuesday 1 June 2004
Part IB
9 to 12
PAPER 1
Before you begin read these instructions carefully.
Each question in Section II carries twice the credit of each question in Section I.
MATHEMATICAL TRIPOS
Friday 30 May 2003
Part IA
1.30 to 4.30
PAPER 2
Before you begin read these instructions carefully.
Each question in Section II carries twice the credit of each question in Section
MATHEMATICAL TRIPOS
Thursday 2 June 2005
Part IA
9 to 12
PAPER 1
Before you begin read these instructions carefully.
The examination paper is divided into two sections. Each question in Section II
car
MATHEMATICAL TRIPOS
Thursday 5 June 2003
Part IB
9 to 12
PAPER 3
Before you begin read these instructions carefully.
Each question in Section II carries twice the credit of each question in Section I.
MATHEMATICAL TRIPOS
Thursday 9 June 2005
Part IB
9 to 12
PAPER 3
Before you begin read these instructions carefully.
Each question in Section II carries twice the number of marks of each question in
S
MATHEMATICAL TRIPOS
Tuesday 7 June 2005
Part IA
1.30 to 4.30
PAPER 3
Before you begin read these instructions carefully.
The examination paper is divided into two sections. Each question in Section II
MATHEMATICAL TRIPOS
Wednesday 2 June 2004
Part II
Alternative A
9 to 12
PAPER 2
Before you begin read these instructions carefully.
Each question is divided into Part (i) and Part (ii), which may or m
MATHEMATICAL TRIPOS
Thursday 1st June, 2006
Part IA
9 to 12
PAPER 1
Before you begin read these instructions carefully.
The examination paper is divided into two sections. Each question in Section II
MATHEMATICAL TRIPOS
Monday 5th June, 2006
Part IA
1.30 to 4.30
PAPER 4
Before you begin read these instructions carefully.
The examination paper is divided into two sections. Each question in Section
MATHEMATICAL TRIPOS
Thursday 9 June 2005
Part II
1.30 to 4.30
PAPER 3
Before you begin read these instructions carefully.
The examination paper is divided into two sections. Each question in Section I
MATHEMATICAL TRIPOS
Monday 2 June 2003
Part II
Alternative A
1.30 to 4.30
PAPER 1
Before you begin read these instructions carefully.
Each question is divided into Part (i) and Part (ii), which may or
MATH 1007 Review Problems sin x x . x2
December 2005
Page 1
Prepared by S. Alaca, A.A. Jrai and A.B. Mingarelli a 1. Find lim 2. Find lim
x0
ln(x + 1) x . x0 x2
x
3. Find lim xex . 4. What is lim x2 l
MATH 1007 A First Name: Student No:
Tutorial #4 Last Name: No Calculators!
Nov 10, 2006
You must show your work for all questions!
1. [4 marks] Use substititution to nd the required integrals: (a) (4
MATH 1007 A
Tutorial #4
Nov 10, 2006
Solutions
1. [4 marks] Use substititution to nd the required integrals: (a) (4 + x2 )10 (2x) dx
Hint: Set u = 4 + x2 Solution: Then
du dx
= 2x = du = 2x dx u10 du
MATH 1007 A First Name: Student No:
Tutorial #5 Last Name: No Calculators!
Nov 24, 2006
You must show your work for all questions!
1. [4 marks] Find the area between y = 3x2 and y = 3x + 6. (Show alge
MATH 1007 A
Tutorial #5
Nov 24, 2006
SOLUTIONS
1. [4 marks] Find the area between y = 3x2 and y = 3x + 6. (Show algebraically where these 2 functions meet, and give a rough sketch of the functions in