SOLUTION: The function f(x)=2x+1 is defined over the interval [2, 5]. If the interval is divided into n equal parts, what is the value of the function at the right endpoint of the Kth rectan

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Question 1179690: The function f(x)=2x+1 is defined over the interval [2, 5]. If the interval is divided into n equal parts, what is the value of the function at the right endpoint of the Kth rectangle?
a. 2+3k/n
b. 4+3k/n
c. 4+6k/n
d. 5+6k/n
e. 5+3k/n

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
spread = 5-2+=+3
if cut into n pieces, each base = 3%2Fn
endpoint of 1st rectangle = 2+%2B+3%2Fn
endpoint of 2nd rectangle = 2+%2B+2%283%2Fn%29
...
endpoint of kth rectangle = 2+%2B+k%283%2Fn%29
= 2+%2B+3k%2Fn
f%282%2B3k%2Fn%29
= 2%282+%2B+3k%2Fn%29+%2B+1
= 4%2B+6k%2Fn+%2B+1
= 5+%2B6k%2Fn

answer: d. 5%2B6k%2Fn