Write algorithms to solve the problems given in each exercise. Note that you are NOT writing C++ code for this assignment. Please do not submit any code. The volume of a sphere is (4.0/3.0)πr3 and the surface area is 4.0πr2, where r is the radius of the sphere. Given the radius, design an algorithm that computes the volume and surface area of the sphere
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Write algorithms to solve the problems given in each exercise. Note that you are NOT writing C++ code for this assignment. Please do not submit any code.
The volume of a sphere is (4.0/3.0)πr3 and the surface area is 4.0πr2, where r is the radius of the sphere. Given the radius, design an
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- Hi, Can you change(write) this code a little differrent? and this is the question but pls change this code Write a computer program for Gauss elimination method using C programming language. Decide the number of significant figures yourselves. While writing your program, consider the effects of the number of significant figures, pivoting, scaling and do not forget to check if the system is ill conditioned. #include<iostream>#include<cmath>using namespace std;int main(){int n,i,j,k;// initializing variablescout<<"\nEnter the no. of equations\n";cin>>n; //input the no. of equationsfloat matrix[n][n+1],x[n]; //declare an array to store the elements of augmented-matrixcout<<"\nEnter the elements of the augmented-matrix row-wise:\n";for (i=0;i<n;i++)// taking the input from the userfor (j=0;j<=n;j++)cin>>matrix[i][j];//input the elements of arrayfor (i=0;i<n;i++) //Pivotisation for the given matrixfor (k=i+1;k<n;k++)if…Problem Statement: You are given n points in a plane. Whenever we find three points that are collinear, we draw a line through them. How many different lines are there? Come up with an efficient algorithm. First, explain your solution. Then provide a code written in C++ or JAVA or python. Or you can just give me a clearly written pseudocode.Hints:0. We take three points and see if they are collinear or not. If they are collinear, we determine the line's equation. And we store the slope and x intercept of that line in a map data structure. We store the pair (m,c) in a map of pairs. We store (m,c) because this pair defines the line.1. Every time we find such a line, we save it's slope and x intercept.Suppose Pi,Pj and Pk are collinear. And the equation of the line is: y=mx+cWhere m=yj−yixj−xiand c=yi(xj−xi)−xi(yj−yi)xj−xiWe can store m and c as floating point values but that is prone to small errors. So, we can store m and c as irreducible fractions. Suppose m=m1m2 and c=c1c2 where…The use of functions is very useful to carry out tasks. For instance, we might want to define a function which, for any input x, is equal to sin(x)/x. First we need to pick a name for this function – let’s try calling it sinex. Now we need to create a procedure called sinex within Python, and here is what goes inside it (in pseudocode format): (a) Set up the sinex function. Evaluate it at x = 0, and at x = π. What values do you expect there? Make a table of its values from -2 to 2 in increments of 0.25. (b) Plot the sinex function over the domain of -10 to 10.
- Python only* Use recursive function*. Define concentricCircles with 4 parameters Use def to define concentricCircles with 4 parameters here is the specification for concentricCircles function: It draws a series of concentric circles, where the first parameter specifies the radius of the outermost circle, and the second parameter specifies the number of circles to draw. When viewed as nested rings, all rings should have the same thickness. The third and fourth parameters specify an outer color and an other color, respectively. The outer color is used for the outermost circle, and then every other circle in to the center alternates between that color and the other color. We will test both how many circles are drawn as well as whether the correct circles are drawn in the correct order. Hint: Each function call frame only needs to draw a single circle. Note that you must use the turtleBeads drawDot function to draw each circle Do not use any kind of loop Within the definition of…Python only* Use recursive function*. Define concentricCircles with 4 parameters Use def to define concentricCircles with 4 parameters here is the specification for concentricCircles function: It draws a series of concentric circles, where the first parameter specifies the radius of the outermost circle, and the second parameter specifies the number of circles to draw. When viewed as nested rings, all rings should have the same thickness. The third and fourth parameters specify an outer color and an other color, respectively. The outer color is used for the outermost circle, and then every other circle in to the center alternates between that color and the other color. We will test both how many circles are drawn as well as whether the correct circles are drawn in the correct order. Hint: Each function call frame only needs to draw a single circle. Note that you must use the turtleBeads drawDot function to draw each circle Do not use any kind of loop Within the definition of…(Computation) Among other applications, Pascal’s triangle (see Figure 7.22) provides a means of determining the number of possible combinations of n things taken r at a time. For example, the number of possible combinations of five people (n = 5) taken two at a time (r=2)is10. Each row of the triangle begins and ends with 1. Every other element in a row is the sum of the element directly above it with the element to the left of the one above it. That is, element[n][r]=element[n1][r]+element[n1][r1] Using this information, write and test a C++ program to create the first 11 rows of a twodimensional array representing Pascal’s triangle. For any given value of n less than 11 and r less than or equal to n, the program should display the correct element. Use your program to determine in how many ways a committee of 8 can be selected from a group of 10 people
- Write a program in C language that implements a simple hand calculator. The followings arithmetic functions are available on the calculator: addition, subtraction, multiplication, division, cosine, sine and tangent. The result of the function must have the same number of digits of precision as the highest precision operand of the function. An example of the program behavior is shown below. > 8.91 + 1 = 9.91 > 9.61*3.11 = 29.8871 > cos(3.14152759) = 0.99849715write a program in C++ that A user needs to determine the size of squares (let say delta) in a grid, the center of the circle (does not have to lie on a grid but it can!) and the radius. (for example use "cin>>" ) Then you need to plot a circle using parametric equations of circle (you need to increase angle and plot these (in my picture black) points). First plot the first point of the circle and determine in which square of grid it is. (in my picture it is an orange square) and plot the left bottom vertex of this square (in my picture it is a blue point). Then increase an angle and plot next point of circle - check if it lies in different square. -If it is not in different square, you need to increase angle and check again. (because an angle was too small) -If it is the different square, then check, if this square has THE COMMON EDGE with the previous one -> if it has the common edge, then print new left bottom vertex of this square (if does not have common edge,…ALL DONE IN PYTHON PLEASE!!!! In many businesses across the country, people are buying food and goods using cash. Whenever a purchase is made with cash, it is usual that change must be back to the customer. Business point of sales software help to ensure that the correct change is return to a customer by providing detailed information of the change that should be returned to the customer. using the fewest number of bills and coins. In this assignment, you are asked to use what we have covered in Modules 1-3 to design and implement a program that writes out what bills (ones, fives, tens, twenties) and coins (pennies, nickels, dimes, and quarters) that should be returned to the customer given two inputs from the user: A total cost of a sale. The amount that was paid by the customer. Ensure that your output is grammatically correct. If the customer does not provide adequate payment, you should print the following statement, the program should end. Did not receive enough cash from the…
- language: Python Problem: Write a recursive function to add a positive integer b to another number a, add(a, b), where only the unit 1 can be added, For example add(5, 9) will return 14. When creating the function, also create a test case to prove the program works. The pseudocode is: # Base case: if b is 1, you can just return a + 1# General case: otherwise, return the sum of 1 and what is returned by adding a and b - 1Scenario: I am trying to create a recursion function that takes a number from the user. That number then goes through to equations where it squares the number and takes the square root of it. Then, that value is supposed to be sent back through the function, through the same equations. Then, I am trying to output the value of each iteration. The amount of iterations is a random number. This code is in C++ and I am using Visual Studio 2023. I have attached the code I, myself, typed and picture of the output. Also, this is a header file that is being called from my source.cpp file (case 5 in switch case). That is why I am entering 5 as the first input when I run the program. Problem: The output only shows one iteration of calculation, then goes straight back into taking an input from the user. What am I doing wrong?Which of the following is false? A) Problems that cannot be solved using loops can be solved with recursive functions B) Recursive functions have a recursive case that does work and then calls the function again. They also have a base case that solves the most basic instance of the problem. C) It only makes sense to use recursive functions to solve problems with integer answers. D) Upon execution of a recursive function, python stores different instances of the function's local variables and arguments for each recursion call.