Write the following mathematical expression in C++. a. z = Vx? + y² + ]x – y| b. a = k + N-1 N
Operations
In mathematics and computer science, an operation is an event that is carried out to satisfy a given task. Basic operations of a computer system are input, processing, output, storage, and control.
Basic Operators
An operator is a symbol that indicates an operation to be performed. We are familiar with operators in mathematics; operators used in computer programming are—in many ways—similar to mathematical operators.
Division Operator
We all learnt about division—and the division operator—in school. You probably know of both these symbols as representing division:
Modulus Operator
Modulus can be represented either as (mod or modulo) in computing operation. Modulus comes under arithmetic operations. Any number or variable which produces absolute value is modulus functionality. Magnitude of any function is totally changed by modulo operator as it changes even negative value to positive.
Operators
In the realm of programming, operators refer to the symbols that perform some function. They are tasked with instructing the compiler on the type of action that needs to be performed on the values passed as operands. Operators can be used in mathematical formulas and equations. In programming languages like Python, C, and Java, a variety of operators are defined.
6. A) write the following expression in C++.
B) Write equivalent expressions for each of the following by using De Morgan’s Law
- !(x < 5)
- !(x < 5) && !(y >= 7)
- !(a == b)
![To write the following mathematical expressions in C++, you can translate them into code as follows:
a. Expression:
\[ z = \sqrt{x^2 + y^2} + |x - y| \]
C++ Code:
```cpp
#include <cmath> // For mathematical functions
#include <cstdlib> // For abs()
double z = sqrt(pow(x, 2) + pow(y, 2)) + abs(x - y);
```
b. Expression:
\[ a = k \left( \frac{1}{N} + \sqrt{N - 1} \right)^{\frac{1}{3}} \]
C++ Code:
```cpp
#include <cmath> // For mathematical functions
double a = k * pow((1.0 / N) + sqrt(N - 1), 1.0 / 3);
```
### Explanation:
- The `sqrt` function is used to find the square root.
- The `pow` function is used to raise a number to a power.
- The `abs` function computes the absolute value of an integer in C++. If dealing with floating-point numbers, `fabs` from `<cmath>` should be used.
- Constants like `k` or variables like `x`, `y`, `N` need to be defined and initialized elsewhere in your actual program.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7cbefba3-038d-4844-a492-3897b8513d87%2F1fb91c3f-959d-416b-bbac-dd715910a1bf%2Fue6aq4q_processed.png&w=3840&q=75)
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