For the given values of n and d, find integers q andr such that n = dq + r and 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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hi, for these question i kept getting wrong. I need help with the part i got it wrong. No explanation needed for correct one.

For the given values of n and d, find integers q and r such thatn =
dg + r and 0 <r< d.
n = -37, d = 6
-8
r =
11
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Transcribed Image Text:For the given values of n and d, find integers q and r such thatn = dg + r and 0 <r< d. n = -37, d = 6 -8 r = 11 Need Help? Read It
(a) Let n = 41.
Find the approximate value for Vn. (Round your answer to two decimal places.)
6.40
Write a list of all the prime numbers less than or equal to vn. (Enter your answers as a comma-separated list.)
2,3,5
Is the following statement true or false? When n =
41, n is not divisible by any prime number less than or equal to Vn.
True.
False.
(b) Supposen is a fixed integer. Let S be the statement, "n is not divisible by any prime number less than or equal to Vn." The following statement is equivalent to S:
v prime number p, if p is less than or equal to Vn then n is not divisible by p.
Which of the following are negations for S? (Select all that apply.)
3 a prime number p such that p < Vn and n is divisible by p.
n is divisible by every prime number less than or equal to Vn.
3 a prime number p such that p is a multiple of n and p is less than or equal to Vn.
n is divisible by some prime number that is less than or equal to Vn.
v prime number p, if p is less than or equal to vn, then n is divisible by p.
Transcribed Image Text:(a) Let n = 41. Find the approximate value for Vn. (Round your answer to two decimal places.) 6.40 Write a list of all the prime numbers less than or equal to vn. (Enter your answers as a comma-separated list.) 2,3,5 Is the following statement true or false? When n = 41, n is not divisible by any prime number less than or equal to Vn. True. False. (b) Supposen is a fixed integer. Let S be the statement, "n is not divisible by any prime number less than or equal to Vn." The following statement is equivalent to S: v prime number p, if p is less than or equal to Vn then n is not divisible by p. Which of the following are negations for S? (Select all that apply.) 3 a prime number p such that p < Vn and n is divisible by p. n is divisible by every prime number less than or equal to Vn. 3 a prime number p such that p is a multiple of n and p is less than or equal to Vn. n is divisible by some prime number that is less than or equal to Vn. v prime number p, if p is less than or equal to vn, then n is divisible by p.
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