Answer:
If
whenever
f is <em>increasing</em> on I.
If
whenever
f is <em>decreasing</em> on I.
Step-by-step explanation:
These are definitions for real-valued functions f:I→R. To help you remember the definitions, you can interpret them in the following way:
When you choose any two numbers
on I and compare their image under f, the following can happen.
. Because x2 is bigger than x1, you can think of f also becoming bigger, that is, f is increasing. The bigger the number x2, the bigger f becomes.
. The bigger the number x2, the smaller f becomes so f is "going down", that is, f is decreasing.
Note that this must hold for ALL choices of x1, x2. There exist many functions that are neither increasing nor decreasing, but usually some definition applies for continuous functions on a small enough interval I.
Remark
A cube has six sides, all of them equal. The formula for 1 side is s^2. The formula for all six = 6s^2.
Step One
Find the surface area of the larger cube.
Area = 6 *s^2
s = 15
Area = 6 *15^2
Area = 6 * 225
Area = 1350
Step Two
Find the area of the smaller cube
Area = 6s^2
Area = 6 * 12^2
Area = 6 * 144
Area = 864
Step Three
Find the difference
Area1 - Area2 = difference
1350 - 864 = 486
The difference is area = 486 units^2 <<<<< Answer
There is a slightly shorter way. Take out the common factor of 6
Difference = 6 * (15^2 - 12^2)
Difference = 6 * (225 - 144)
Difference = 6 * (81)
Difference = 486
Answer:
b. The stipend you receive.
Step-by-step explanation:
It would say paid intern if they were paid.
Answer: 6) 15 1/10
Step-by-step explanation:
Add the whole numbers and then find a common number for the bottom fraction. So that'd be ten. To get to ten from 2 you'd multiply by five then multiply the top number by five too. That gets you 5/10 and do the same for the other fraction. Get the bottom number to ten then whatever you multiply by do the same to the top. After doing that putting the fractions together which gets you 11/10. That'd make 1 1/10 so that makes it 15 instead of 14 whole
3 * ln 4x = 13
<span><=> </span>
<span>ln 4x = 13/3 </span>
<span><=> </span>
<span>4x = e^(13/3) </span>
<span><=> </span>
<span>x = e^(13/3) / 4 </span>
<span><=> </span>
<span>x ~ 19.05 </span>