Using C++, implement functions that do each of the following. Function names and examples are included after //.

count_odds will return the number of odd numbers between arguments a and b (inclusive). a is guaranteed to be less than b.

// for example, count_odds(4, 11) returns 4, because there are four

// odd numbers (5, 7, 9, 11) between 4 and 11 inclusive.

//int count_odds(int a, int b);

is_prime returns true if n is a prime number; false otherwise. For the purposes of this function and homework assignment, n will be less than 1000.

//bool is_prime(int n);

quadratic computes the value of ax^2 + bx + c and returns it.

//

// for example, quadratic(3, 7, 4, 2) returns

// (3*(2^2)) + (7*2) + 4

// == 12 + 14 + 4 == 30

//float quadratic(float a, float b, float c, float x);

ftol returns true if a is strictly within tol units of b. tol is guaranteed to be positive.

//

// For example, ftol(14.001, 14.0, 0.00001) returns false because

// 14.001 is not in the range (14.0 - 0.00001, 14.0 + 0.00001).

//

// But ftol(10.0, 11.0, 2.0) returns true because 10 is in the range

// (11-2, 11+2).

//bool ftol(float a, float b, float tol);

is_bleep returns true if the input number n is divisible by 3 or 7, or if it is between 10 and 20 exclusive. It returns false otherwise.

//bool is_bleep(int n);

is_blop returns true if the input number n is divisible by 4, or if it is larger than 35 and divisble by 5.

//bool is_blop(int n);

is_bleebleblam returns true if the input number is both bleep and blop (as determined by is_bleep and is_blop).

//bool is_bleebleblam(int n);