Instructions In problems 1-3, plot the function and indicate its domain and range. Jx if 0sx< 2 1 if 0
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
Determine the value of
See #4 in attached handout in boxed section.
![Homework Assignments – Math 122-01/02 – Spring 2021
Textbook: Calder & Calder, Technical Mathematics with Calculus, Gth Edition, Wiley, Inc.
( ISBN-13: 978 -- 0 – 470 – 46472 - 4)
Assignment 1
Due date : Friday, January 29
Section 5.1, Page 159: #1-4, 10, 11, 14.
Section 5.2, Page 163: Find the slope and y -intercept, and then plot the line in problems: #2,4.
Find vertex, axis of symmetry, focus, focal width, and then plot the parabola in:
#6, 8. Refer to http://mypages.iit.edu/~maslanka/Parabola&Quadratics.pdf
for more details on parabolas.
Section 4.1, Page 143: #2, 3, 7, 8;
Section 4.2, Page 151: #3, 4, 6, 13, 14, 15, 29, 30, 32, 34;
Required Additional Exercises
#1 -5 (below).
Instructions
In problems 1-3, plot the function and indicate its domain and range.
Vx if 0<x<2
1
if 0<x<2
1. f(x)= .
2. f(x)=
3. f(x)=
-for all x 0.
2
1+x if 2< x< 5
3
if 2<x<5
4. Determine the value of f[f(x)] for the function f in
problem 3 above.
В
5. Use the slopes of the slanted sides of AABC to find the
exact coordinates of the inscribed square DEFG
given that A =(0,0), B=(2,4) and C= (5,0).
(t,a) = E
F = (t+ a, a)
Hint: Note that (1) mAB
(2) mBc
mAE
Use (1) and (2) to determine the values of a and t
and the vertices of the square.
D
G
(t,0)
(i +a,0)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe31eb4c2-4ccb-4545-9098-1418f9db9f92%2F4f92f408-802b-43c6-8ff7-ff057ad151f9%2Feus7qoe_processed.jpeg&w=3840&q=75)
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