1. Write C++ code for Gaussian elimination method and solves the following electric circuit equations. Note: you can apply Partial Pivoting
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- [Unbalanced Rod] Given a set of n weights {w₁,..., wn} and a rod of length n - 1 inches, we can attach the weights to the rod at hooks placed at one inch distances apart as shown in the figure below. -1". /10 2 3 12 2 4 We can attach a weight to any hook but no two weights can be attached to the same hook and we have to attach all the weights. For any given assignment of weights to hooks, we can compute the location of the center of mass of the rod and the weights according to the following equation (neglecting the weights of the rod and the hooks). where 0 ≤ Pi≤n-1 is the position of weight along the rod. For example, in the figure shown above, the center of mass is computed as C= C = i Wi Pi Σi Wi 10 0+2 1+3·2+4·3+12.4 +2.5 10+2+3+4+12+2 78 33 The problem is to find an assignment of weights to hooks that makes the center of mass as far as possible to the left, i.e., minimize the value of c. Answer the following questions. 1. Describe a greedy algorithm that finds the assignments that…1. Write C++ code for Gaussian elimination method and solves the following electric circuit equations. Note: If you can apply Partial Pivoting you will get extra 20 points. R, V, R2 1 kn 5 kn a. Node voltages in the circuit is given as supemodo HE 9.6 45 -5.6 || v, [240 Ra V, RA 2 -12 200 n 2 kn 1 -2 4 Rs 8 kn R 2 kn 5 V Using Gaussian elimination, find V1, V2 and V3 values. b. Node voltages in the circuit is given as (Loop 3 + Vx- 1 -1 -2 60 20 V 6Ω -5 -16 || v2 + - 4 i3 -1 -2 V3 10A 2Ω -2 -1 1 2 20 Loop 2 4 Loop 1 Using Gaussian elimination, find V1, V2 , V3 and V4 values. c. The mesh-current equations for the circuit is given as 50 2 ww 150 -40 -80 30 -40 65 -30 -15 20 2 30 Ω 12 V i, -30 50 -20 || i, -12 15 2 202 30 V ww -80 -15 95 20 O 20 V 0 0 -20 80 -20 80 Ω. 602 Using Gaussian elimination, find the current values.Program in C++ only: Mahesh is very good at his analytical skills so his teacher Ramanujan wants to test his skills so he gives him a condition let's consider a rectangular R table containing N rows and M columns. Rows are numbered 1 to N from top to bottom. Columns are calculated from 1 to M from left to right. Each element of R is a non-negative number. R is pronounced steadily if the total number of elements in the ith line is not less and then the total number of elements in the i-line (1) th for each i lapho is 2 Kanye N and the total element in the Nth line is less than or equal to M. Your job is to find the number of fixed tables of different sizes N x M modulo 1 000 000 000 000. Input: 1 11 Output: 2
- // Description: Write a program that outputs a root of a given function f(x) by using a bi-section method. // f(x) = x3 + 5x2 +7x +2[Fish Tank] You play with a clown fish that has an initial size so. The fish can eat other fish in a tank organized in m columns and n rows. The fish at column i and row j has a positive size si,j. When your fish eats another fish, it grows by that amount. For example, if your clown fish has a size of 10 and eats a fish of size 5, it becomes of size 15. You cannot eat a fish that is bigger than your size. The game starts by eating any fish in the first (left-most) column that is not bigger than yours. After that, you advance one column at a time by moving right. You have only three allowed moves. You either stay at the same row, move one row higher or one row lower. You will always move to the right. Thus, you will make exactly m moves to advance from left to right. Your goal is to exit the fish tank from the right with the biggest possible size. The figure below shows an example with the best answer highlighted. In this case, the final fish size is 71 (10+8+7+24+22). You are required…The following functions/statements are useful to solve the probler: • The pow function from the library: e.g. pow(x.y) gives the value of x • The rand( ) function from the library: rand( ) gives a random integer between 0 and RAND_MAX, where RAND_MAX is a predefined constant integer in C++. When you use rand( ) make sure to include the empty braces (you will understand what they mean later when you learn about C++ functions). The srand(time(0)); statement at the beginning of main which requires adding the library. This statement is needed if you want the program to give different random values for different runs. The use of srand(time(0)) is optional; i.e. no grades will be deducted if you do not include it.
- 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…1. The runsing time of fl (n) and C) arePython 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…
- Java Assignment: Mathematics is the very interesting subject and for the India it is also a point of pride because Mr. Brahmagupta gives the 0 to world. So, in this series want to be great mathematician like Brahmagupta. He is keep practicing for her goal achievement. Once He knew about the Vector dot Product So He asked his friend Sammer the problem. He gave her two vectors A and B length N. He asked him to reduce the dot output of these two vectors. Sammer has the option to change the order of the objects of these two carriers i.e., in any two objects I and j at any vector can change the shape of these objects. Since Sammer is new to the program, he has asked you to resolve the issue using C++ Programming language. Input: 1 4 142-5 3 -8 5 2 Output: -50Complete the following methodscomputer science | c++ code | it's not graded. Correct answer will upvoted else downvoted. It is given a non-negative integer x, the decimal portrayal of which contains n digits. You need to shading every its digit in red or dark, so the number shaped by the red digits is separable by A, and the number framed by the dark digits is detachable by B. No less than one digit should be shaded in every one of two tones. Consider, the include of digits hued in red is r and the include of digits hued in dark is b. Among all potential colorings of the given number x, you need to output any to such an extent that the worth of |r−b| is the base conceivable. Note that the number x and the numbers shaped by digits of each tone, may contain driving zeros. Input :The principal line contains one integer t (1≤t≤10) — the number of experiments. Then, at that point, t experiments follow. Each experiment comprises of two lines. The main line contains three integers n, A, B (2≤n≤40, 1≤A,B≤40).…