(a) Let n = 41. Find the approximate value for Vn. (Round your answer to two decimal places.) Enter a number. Write a list of all the prime numbers less than or equal to vn. (Enter your answers as a comma-separated list.) Is the following statement true or false? When n = 41, n is not divisible by any prime number less than or equal to vn. O True. O False. (b) Suppose n 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 ñ then n is not divisible by p. Which of the following are negations for S? (Select all that apply.) O 3a prime number p such that ps vn and n is divisible by p. O n is divisible by every prime number less than or equal to Vn. O 3a prime number p such that p is a multiple of n and p is less than or equal to Vn. O n is divisible by some prime number that is less than or equal to Vn. O v prime number p, if p is less than or equal to Vn, then n is divisible by p.

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.