Answer:
Pigeonhole Principle
Step-by-step explanation:
From series {1,2......2n} ; we need to select 'n + 1' integers.
Even integers series from above series = {2,4,6..........2(n-1), 2n}
Odd integers series from above series = {1,3,5........2(n-2), 2n-1}
So, we can choose only n odd integers from the series. Hence, if we choose n+1 integers, atleast one of them have to be even integer.
- Eg : n = 5, Series = (1,2,3,4,5,6,7,8,9,10}, Odd series = {1,3,5,7,9}, Even series = {2,4,6,8,10}. If we choose 5 +1 ie 6 integers, there must be one even integer, as there are only 5 total odd integers in series.
Answer:
-10
Step-by-step explanation:
The value of x from the figure is 70°
<h3>How to determine the value</h3>
It is important to note that alternate angles are equal and angles in a triangle sum up to 180°
We then have that,
x + 50 + 60 = 180 °
x + 110 = 180°
Make 'x' subject
x = 180 - 110
x = 70 °
Thus, the value of x from the figure is 70°
Learn more about alternate angles here:
brainly.com/question/24839702
#SPJ1
Answer:
<h2>f(n) = 2 · f(n - 1) + 1</h2>
Step-by-step explanation:
<h2><em><u>
Answer:</u></em></h2>
<u>f'(x) = 6e(cos(x))-xsin(x))</u>
<u>f''(x) = 6e(cos(x)-xsin(x)))</u>
<h2><em><u>
Step-by-step explanation:</u></em></h2>
Search at symbolab derivative calculator and watch the steps there!
Since I'm not a tutor nor a teacher, it is very hard for me to show step-by-step, but I suggest you should view the (derivative) calculator.
<h2>
GOOD LUCK! </h2>
