Question

For each given integer n, find a and b such that n=a^(2)+b^(2).

(a)n= 13

(b)n= 29

(c)n= 50

(d)n= 377

(e)n=18850

Answer #1

a. Find an algorithm for solving the following problem: Given a
positive
integer n, find the list of positive integers whose product is
the largest
among all the lists of positive integers whose sum is n. For
example, if
n is 4, the desired list is 2, 2 because 2 × 2 is larger than 1
× 1 × 1 × 1,
2 × 1 × 1, and 3 × 1. If n is 5, the desired list is 2,...

Given a list of n integers, find the largest integer in the
list. Use Java or C++ please

Given any integer n, if n > 3, could n, n + 2, and n + 4 all
be prime? Prove or give a counterexample.

Suppose for each positive integer n, an is an integer such that
a1 = 1 and ak = 2ak−1 + 1 for each integer k ≥ 2. Guess a simple
expression involving n that evaluates an for each positive integer
n. Prove that your guess works for each n ≥ 1.
Suppose for each positive integer n, an is an integer such that
a1 = 7 and ak = 2ak−1 + 1 for each integer k ≥ 2. Guess a...

Prove that for each positive integer n, (n+1)(n+2)...(2n) is
divisible by 2^n

Combinatorial Math:
Find the number of nonnegative integer solutions to the equation
a+b+c=249. We are given:
10 ≤ a ≤ 30 (you can use an ellipsis between values
in this factor instead of listing them all)
b is even and b > 50
c ≥ 144
a) Set up the generating function. Do not multiply it out. Do
not use a, b or c in the function. Use x as the variable. The first
factor should relate to a, the second...

Q2- Write a function solution that, given an integer N, returns
the maximum possible value obtained by inserting one '5' digit
inside the decimal representation of integer N.
Examples:
1. Given N = 268, the function should return 5268.
2. Given N = 670, the function should return 6750.
3. Given N = 0, the function should return 50.
4. Given N = −999, the function should return −5999.
Assume that:
N is an integer within the range [−8,000..8,000].

Prove let n be an integer. Then the following are
equivalent.
1. n is an even integer.
2.n=2a+2 for some integer a
3.n=2b-2 for some integer b
4.n=2c+144 for some integer c
5. n=2d+10 for some integer d

Find T, N, B, aT, aN at t=2 (#13)
13. r(t) = (t3/3)i + (t2/2)j when t >
0

(a) Let N be an even integer, prove that GCD (N + 2, N) = 2.
(b) What’s the GCD (N + 2, N) if N is an odd integer?

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 9 minutes ago

asked 14 minutes ago

asked 21 minutes ago

asked 59 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago