Quiz #2 Answer all questions and upload to the Assignment Folder
1. Suppose that the correlation r between two quantitative variables
was found to be r = 1. Which of the following is the best
interpretation of this correlation value?
1.
There is a strong
Solution (a):
f ( x) x 3
f '( x) 3 x 2 .
So, f ( x) 0 3x 2 0 x 0.
Thus, x=0 is a critical point of f(x).
Now, f(x) = 6x.
So, f(0) = 0.
Hence, by second derivative test, x=0 is neither a maximum nor a minimum.
Solution (b):
x2
x 1
( x 1) ( x 2) x 1 x 2
3
Solution a):
f x x 3 1
Graph:
lim
x 3
f x
lim
x 3
x 3 1
lim
h 0
3 h 3 1
lim
h 0
h 1
(i )
1.
(ii )
f x
lim
x 3
lim
x 3
x 3 1
lim
h 0
3 h 3 1
lim
h 0
h 1
1.
(iii )
lim
x 3
f x
lim
x 3 1
x 3
| 3 3 | 1
1.
Solution b):
Graph:
f x x 2
lim
x 3
f x
lim
x 3
x
Solution 1: A = cfw_0, 1, 2, 3, 4, 5, 6, 7, 8 and B = cfw_1, 2, 3, 4, 5, 6, 7, 8.
R is a binary relation R from A to B such that for all (x, y) A x B, (x, y) R if and only if y =
2x + 1.
Now, 1 R 3 means that (1, 3) R.
Also, 3= 2(1) + 1.So, we have that (
Solution:
Statements
Reasons
PAB 90o
PA is tangent to the circle and OA is
radius of the circle.
PAC BAC 90o
PAB PAC BAC
BAC 90o PAC
PAC BAC 90o
BCA 90o
Diameter of a circle subtends a right
angle to any point on the circle.
BAC BAC PBA 180o
The sum of an
Statistics is method of observing and utilizing data related to single of multiple fields. We
can analyze data through series of statistical techniques like data visualization (graphs),
data summary and hypothesis testing.
Statistics provide enormous amou
1) (a) Amount to be paid is $5602.32.
(b) Amount of interest is $1602.32.
(c) Interest rate (rounded off to two decimal places) is1.95 % per month.
(d) APR (rounded to the nearest tenth percent) is 26.0%.
2) a) x=4.
b) x =2.19(approx.)
3) The present valu
\Solution1-a) Assume there are two LU-decompositions of A. So, let A=LU and A=LU.
We have LU=LU.
Now, LU=LU if and only if L(L)-1 = UU-1; where L and L are lower triangular matrices,(li,i =1
and li.i=1) and U and U are upper triangular matrices.
The inver
MAT8001 Practice Test 1
Name:_
ID:_
Shortanswers.Write theanswers
only
1. Expresstheexpressionproperly(1mark)
_
2. Evaluate(2markseach)
a.
b.
_
c.
_
_
3. Whatisthesolutiontothesystemgraphedbelow?(2marks)
_
4. WhatistheLCDofthefollowingfractions(2marks)
_
Unit Activity
Unit: Functions
This activity will help you meet these educational goals:
Mathematical PracticesYou will make sense of problems and solve them, reason abstractly
and quantitatively, construct viable arguments and critique the reasoning of ot