Essential Calculus, Early Transcendentals 2nd Edition, James Stewart
Section 2.6 number 25. Find y by implicit dierentiation.
9x2 + y 2 = 9.
Solution. Dierentiating both sides of the equals sign gives;
18x + 2yy = 0
=
y=
9x
y
Dierentiating once more, and
Essential Calculus, Early Transcendentals 2nd Edition, James Stewart
Section 2.7 number 38. A lighthouse is located on an island 5 km away from the nearest point P on a
straight shoreline and its light makes 4 revolutions per minute. How fast is the beam
Section 3.5 Solutions to select homework exercises
1. Find the exact value of
(a) sin1 3/2
(b) cos1 (1)
Solution. (a) We need to nd the angle between /2 and /2 (because this is the domain
of arcsin) such that the sine of the angle is 3/2; i.e.
3/2
sin y =
DBMS LAB Week 1
1. Create an ER diagram for the simple LMS where teachers, students login with their userid and
passwords. The teachers create courses and upload documents.
2. Create tables in Oracle Database from the ER diagram. Add all constraints as ne
Dbms lab 6
Stored procedures.
List of quick examples to create stored procedures (IN, OUT, IN OUT and Cursor parameter) in Oracle database. PL/SQL
code is self-explanatory.
1. Hello World
A stored procedure to print out a Hello World via DBMS_OUTPUT.
CREA
DBMS LAB Week 10
This lab is a continuation of your previous lab exercise. You should have all relevant tables with
appropriate data for this lab. For all the queries given below, you should first ensure you have the right
data in each of the tables to ge
DBMS LAB 3
For this lab you will use the LMS that has been developed so far to do the following queries.
Modify the tables based on the queries given below and insert appropriate data. The LMS should
now include question papers. So modify the LMS to add m
B Tech CSE 3rd Year, 5th Semester; Section-A: ODD Semester 2016-2017
CSEN3112 [DBMS Lab] Assignment #4- Cursors
Question 3: What is a cursor? How to use cursors?
SQL> alter table employee1 modify emp_name varchar2(20);
Table altered. adjust field size.
SQ
E-R Diagram
MODULE II
Entity Relationship Model
Entity Relationship Model represents the overall
logical structure of a database.
It consists of a set of basic objects called entities
and of relationships among these objects
It focuses on kinds of data an
CS691 Lab week 5
In this lab you will understand and practice the basics of creating users and permissions. You will also
use different types of join and set operations. The exercise given in this lab is again based on Question
Paper Management System.
Se
Math 2301
Fall 2012
Section 103
Quiz 4 Worksheet
10/1/2012
Name:
1. Use the product rule to nd the derivative of the following functions.
(a) a(x) = x sin x
(b) b(x) = (2x + 1)(5 x)
a (x) = x
(Do not FOIL out)
d
d
sin x + sin x x
dx
dx
= x cos x + sin x
Math 2301 Worksheet Derivatives - Graphical Approach.
The goal is to use the graph of f (x) to ll in the table below.
f (x)
8
7
6
5
4
3
2
1
-8
-7
-6
-5
-4
-3
-2
-1
1
2
3
4
5
6
7
-1
x value
y value
slope of the tangent line
equation of the tangent line
f (
Math 2301 Worksheet Innite Limits - Graphical Approach.
The goal is to use the graph of f (x) to ll in the table below.
f (x)
-8
-7
x value
3
1
5
-6
-5
-4
limit from the left
lim f (x) =
x3
lim f (x) =
x1
lim f (x) =
x5
-3
-2
-1
1
2
limit from the righ
Essential Calculus, Early Transcendentals 2nd Edition, James Stewart
Section 1.4 number 10. (a) What is wrong with the following equation?
x2 + x 6
=x+3
x2
(1)
(b) Explain why the following equation is correct.
x2 + x 6
= lim (x + 3)
x2
x2
x2
lim
(2)
Solu
4.7.12 Find the most general antiderivative of the function.
f (x) = 2 x + 6 cos x
Solution. An antiderivative of 6 cos x is 6 sin x. Rewrite 2 x as 2x1/2 . To nd an antiderivative of 2x1/2 use the antipower rule;
2x1/2
2
4x3/2
1 3/2
=
x
3/2
3
Therefore,
Essential Calculus, Early Transcendentals 2nd Edition, James Stewart
Section 1.5 number 25.
lim
x
9x2
9x2
+ x 3x = lim
x
9 x2 + x + 3 x
+ x 3x
9 x2 + x + 3 x
(multiply numerator and
denominator by the conjugate)
2
2
9x + x 9x
= lim
x
9x2 + x + 3x
= lim
Section 4.1 Solutions to select homework exercises
36. Find the critical numbers of f (x) = x2 ln x.
Solution. Note that the domain of f is (0, ).
f (x) =
f =0
1 2 ln x
x3
x=
e
To check where f does not exist, the only point which may cause concern is whe
Essential Calculus, Early Transcendentals 2nd Edition, James Stewart
Section 2.5 number 51. Find all points on the graph of f (x) = 2 sin x + sin2 x where the tangent line is
horizontal.
Solution. The tangent line is horizontal when f (x) = 0. We calculat
CURSOR2: Preparation and execution:
Utilize
a
cursor
to
fetch
records
from
a
view
emp_details_view(dept_name, salary, commission) and populate a
table empview(department_name, original_sum, commissioned_sum)
with summation of employee salary and commissio