Answer:
This mapping isn't a function.
Step-by-step explanation:
A mapping specifies a relation between two sets of items (input and output). For example, a mapping of the form would map the input to output and map the input to output .
A function is a mapping where each input is associated with exactly one output.
Note that both and are in the mapping given in this question. The input is mapped to more than one outputs. Thus, this mapping isn't a function.
Answer:
5P5×20P15
Step-by-step explanation:
A school bus has 25 seats, with 5 rows of 5 seats.
15 students from the first grade and 5 students from the second grade travel in the bus.
second-grade students occupy the first row.
The 5 students of second grade are to be seated in 5 seats,this can be done in:
5P5 ways where P is the permutation
Now 15 students from first grade are to be arranged in remaining 20 seats
This can be done in:
20P15 ways
Hence, total ways student can be seated is:
5P5×20P15
The table is attached in the figure.
g(x) = f(4x) ⇒⇒⇒ differentiating both sides with respect to x
∴ g'(x) = ⇒⇒⇒⇒⇒⇒ chain role
To find g '(0.1)
Substitute with x = 0.1
from table:
f'(0.1) = 1 ⇒ from the table
∴ g'(0.1) = 4 * [ f'(0.1) ] = 4 * 1 = 4
For the middle square: 20in x 20in= 400in
For ONE flap: 20in x 12in= 240in
Multiply by 4 to get the area of all the flaps: 240in x 4 flaps= 960in^2
Add: 400+960= 1360in^2