Answer:
Step-by-step explanation:
a) 
Substitute limits to get
= 
Thus converges.
b) 10th partial sum =
=
c) Z [infinity] n+1 1 /x ^4 dx ≤ s − sn ≤ Z [infinity] n 1 /x^ 4 dx, (1)
where s is the sum of P[infinity] n=1 1/n4 and sn is the nth partial sum of P[infinity] n=1 1/n4 .
(question is not clear)
We have to give counter example for the given statement:
"The difference between two integers is always positive"
This statement is not true. As integers is the set of numbers which includes positive and as well as negative numbers including zero.
Consider any two integers say '2' and '-8'. Now, let us consider the difference between these two integers.
So, 2 - 8
= -6 which is not positive.
Therefore, it is not necessary that the difference of two integers is only positive. The difference of two integers can be positive, negative or zero.
The answer would be option B "he was given $50 for his birthday."
Here is how:
Y=
^
Y equals the amount of money in the account.
75$+50$=
75x represents the amount of money he DEPOSITS which is in the question.
So if he deposits 75$ a week (which represents X) and he adds 50$ to it which means he has 50$ to begin with which means he got 50$ for his birthday.
Also....
Because 75x already represents X therefore it wouldn't be options A, C or D.
Hope this helps!
Answer:
2
Step-by-step explanation:
For the image, you just multiply the numbers to find the sides
(4*2=8 5*2=10 3*2=6)
Then find out how you went from the preimage to the image.
4 * 2 = 8 etc.
<u>Answer:</u>
○ 
<u>Step-by-step explanation:</u>
To find the equation of the line, let's first consider the points whose coordinates we have been given:
• (6, 1)
• (2, 0).
The point (2, 0) is what is called the x-intercept, which is the point where the line crosses the x-axis. This means that at this point, the y-coordinate of the line is 0.
Next, let's calculate the slope (gradient) of the line using the formula:
where:
m = gradient,
and 
= points on the line.
Using the formula:
⇒ 
Finally, now that we have two points on the line as well as the line's slope, we can use the following formula to find the equation of the line:
You can use any of the points on the line as 
and 
.
Using (2, 0):
⇒
Therefore the equation of the line is .
Learn more about point-slope form at:
brainly.com/question/15143525
