Calculus Project
Jessaly John
A rectangular pool for the dolphins is being filled with water at a constant rate
of 20 liters/sec. The base of the tank has a width of 2 meters and a length of 4
meters. What is the rate of change of the height of water in t

Chapter 1 Functions, Graphs, and Limits
Deadline: Sep 30th 2015
1. Functions
P12 22, 39, 65
22. Determine the domain of given function
.
t 1
f (t ) 2
t t 2
39. Find the composite functions f(g(x) and g(f(x), and then find all numbers x (if any) such that

Chapter 3 Problems
Deadline: before 12:00 on Oct 30. 2015
3.1 Increasing and Decreasing Functions; Relative Extreme
P210 16, 30, 59, 72
16. Find the intervals of increase and decrease for the function
g (t )
1
1
t 2 1 (t 2 1) 2
30. Determine the critical

Chapter 2 Differentiation: Basic Concepts
Deadline: 16th, Oct. 2015
1 The Derivative
P114 5, 12, 65
In Problems 5 and 12, compute the derivative of the given function and find the slope of the line
that is tangent to its graph for the value of the indepen

Chapter 4
4.1 Exponential Function
Page 309 6, 18, 20, 53
6. Evaluate the given expressions.
a. ( 128) 3 / 7
27
b.
2/3
64
64
25
3/ 2
18. Use the properties of exponents to simplify the given expressions.
a. ( x 2 y 3 z ) 3
x3 y 2
4
z
b.
1/ 6
20