Extra Credit Problem (10 points)
Cavitation
ME 111 Fluid Mechanics
Dr. Paul Kutler
Fall 2016, Section 2
Name: _
During class, Dr. Kutler demonstrated how cavitation can break the bottom off
a beer bottle. The beer bottle was filled with water to the base

Problem-2
The manager of the Radford Credit Union (RCU) wants to determine how many parttime tellers to employ to cover the peak demand time in its lobby from 11 am to 2 pm.
RCU currently has 3 full-time tellers, but during this peak demand time customers

1. [15 points] Awesome Swords manufactures two types of swords: knight
and magical. The following information about the production process is
available:
Number produced
Machine hours
Knight
120,000
Magical
75,000
95,000
25,000
7,000
35,000
Inspection hour

DEPARTMENT OF MATHEMATICS
IIT MADRAS
MA1020: Calculus-II: Functions of Several Variables
Problem sheet - 2
(1) A function f of two variables is said to be homogeneous of degree n if it satisfies
the following equation:
f (x, y) = n f (x, y) for all real ,

Name: _ Date: _ Due: Sunday, October 9th, 11:59p
Ch 1-7, 88 pts.
Instructions:
1. Answer the following questions on this sheet only. That is, do not answer on a separate
paper. Do not give me the graphs on a separate sheet (like a spreadsheet).
2. Submit

Production Examples
On each example worksheet, read the comments at the bottom of the sheet, then
click Tools Solver. to examine the decision variables, constraints, and objective.
To find the optimal solution, click the Solve button.
One of the areas whe

DEPARTMENT OF MATHEMATICS
IIT MADRAS
MA1010: Calculus I : Functions of one variable1
Problem Sheet V
1. Let f be a bounded function on [a, b]. Prove that, if there is a partition P of [a, b]
such that L(P, f ) = U (P, f ), then f is a constant function.
2

2
Limit, Continuity and Differentiability
of Functions
In this chapter we shall study limit and continuity of real valued functions defined
on certain sets.
2.1
Limit of a Function
Suppose f is a real valued function defined on a subset D of R. We are goi

QSO 320 Milestone Four Business Scenario
As a business analyst, you have been asked by management to examine the data collected and analyzed
in the previous modules. The objective is for you to help management decide on the right mix of wine
bottles to se

A. The XYZ Corporation is considering plant expansion to enable it to begin production
of a new military helicopter. The companys CEO must decide whether to order a
medium- or a large scale expansion.
Demand for the new military helicopter is uncertain be

Investments and Security Analysis common stock pricing
1. (20) ABC Inc. expects earnings over the next year of $4 and has a dividend payout
ratio of 50 percent, a beta of 2, growth in dividends of 8%, and an ROE of 16%. One
way to get an estimate of a com

a) For the beam shown below derive the equations of shear force and bending moment
using dV/dx=w and dM/dx=V for regions AB and BC. Then draw them on Shear
force and bending moment diagrams (in your SFD and BMD, you should also indicate
the place of zero

Below is the information for two microscopes, Model A and
Model B
Model A This microscope comes with four objectives
10X, 20X, 40X and 60X. The ocular is rated at 5X. The
minimal distance between two points that can be
distinguished as separate from each

E1.1
2
H2.2
Discussion on features of the each language.
Evaluation of programming language based on Object-oriented
abstraction, Imperative programming and Web development.
Stance taken and justification
Part-A Max Marks
Designing a state diagram to reco

I am creating a game called Name that Dog. The game will work as follows: An ASCII image of a
dog will appear on the screen and the player will be asked to name what breed of dog it is. The
player will win when they guess all five breeds correctly, the pl

BLTD Corporation-Capital Budgeting Case
Corporate Finance-Moeller
BLTD Corporation is a drug manufacturing company that emphasizes developing new
drugs. They have been working on a series of related methods to help people cope with
anxiety. Currently they

Solutions of Some Problems from Assignment Sheet-I
M.T.Nair
Department of Mathematics, IIT Madras
August 29, 2013
1. Suppose an a.
(b) Suppose |a| > 0. To show that that there exists k N such that |an | > |a|/2 for
all n k.
We have
|an | = |a (a an )| |a|

Calculus - I
(MA 101)
M.Thamban Nair
Department of Mathematics
Indian Institute of Technology
December 2001
Contents
Preface
6
1 Sequence and Series of Real Numbers
1.1
1.2
1
Sequence of Real Numbers . . . . . . . . . . . . . . . .
1
1.1.1
Convergence and