Answer:
Step-by-step explanation:
Given
Solving (a): Set of ordered pair
A function y = f(x) is represented as (x,y)
So, the ordered pair of V is:
Order the alphabets in increasing order
Solving (b): The domain and the range
In a function
The domain and the range are represented as:
So, we have:
Answer:
One cm represented 5 m in the first scale, but now 1 cm represents 4 m in the second scale.
Step-by-step explanation:
Answer:
(a) -7 , - 9 , - 11
(b) Arithmetic sequence
(c) There is a common difference of -2
(d) -53
Step-by-step explanation:
(a) To find the next three terms , we must firs check if it is arithmetic sequence or a geometric sequence . For it to be an arithmetic sequence , there must be a common difference :
check :
-3 - (-1) = -5 - (-3) = -7 - (-5) = -2
This means that there is a common difference of -2 , which means it is an arithmetic sequence.
The next 3 terms we are to find are: 5th term , 6th term and 7th term.
= a + 4d
= - 1 + 4 ( -2 )
= -1 - 8
= - 9
6th term = a +5d
= -1 + 5(-2)
= -1 - 10
= - 11
= a + 6d
= -1 + 6 (-2)
= -1 - 12
= -13
Therefore : the next 3 terms are : -9 , -11 , - 13
(b) it is an arithmetic sequence because there is a common difference which is -2
(c) Because of the existence of common difference
(d) = a + 26d
= -1 + 26 ( -2 )
= -1 - 52
= - 53
ACUTE ANGLE.
this is because the angle is less than 90 degree and greater than 0 degree
Split into two component segments, and , parameterized by
respectively, with , where .
We have
where
so the line integral becomes