sin'a 1) Let A = 1-cos and B = B for x = 0.1,0.01, 0.001, 0.0001,0.00001, and calculate the error for each x. 2 (1+cos z) Write a computer program to evaluate A and %3D 2) Consider the quadratic equation ax2 + bx + c = 0 where a + 0. Write a computer program to calculate and print the real roots for the following three sets of values {a, b, c}:
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Max Function
Statistical function is of many categories. One of them is a MAX function. The MAX function returns the largest value from the list of arguments passed to it. MAX function always ignores the empty cells when performing the calculation.
Power Function
A power function is a type of single-term function. Its definition states that it is a variable containing a base value raised to a constant value acting as an exponent. This variable may also have a coefficient. For instance, the area of a circle can be given as:
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- (Mechanics) The deflection at any point along the centerline of a cantilevered beam, such as the one used for a balcony (see Figure 5.15), when a load is distributed evenly along the beam is given by this formula: d=wx224EI(x2+6l24lx) d is the deflection at location x (ft). xisthedistancefromthesecuredend( ft).wistheweightplacedattheendofthebeam( lbs/ft).listhebeamlength( ft). Eisthemodulesofelasticity( lbs/f t 2 ).Iisthesecondmomentofinertia( f t 4 ). For the beam shown in Figure 5.15, the second moment of inertia is determined as follows: l=bh312 b is the beam’s base. h is the beam’s height. Using these formulas, write, compile, and run a C++ program that determines and displays a table of the deflection for a cantilevered pine beam at half-foot increments along its length, using the following data: w=200lbs/ftl=3ftE=187.2106lb/ft2b=.2fth=.3ft(Statistical) In many statistical analysis programs, data values considerably outside the range of the majority of values are simply dropped from consideration. Using this information, write a C++ program that accepts up to 10 floating-point values from a user and determines and displays the average and standard deviation of the input values. All values more than four standard deviations away from the computed average are to be displayed and dropped from any further calculation, and a new average and standard deviation should be computed and displayed.Q1:- Example 1: Write a program that solves a quadratic equation using Quadratic equation -b± vb² – 4ac 2а b² – 4ac > 0 x = -b b² – 4ac = 0 2a If the sub-radical value is less than zero, print the expression (the root is complex) Q2- write matlab code to sum the following x5 + x7
- Computer Fundamentals and Programming 2 Problem 2: Given two number for the variables A and B, create a program that would: A. print the sum of A and B B. print the average of A and B, if the sum is greater than 100 C. print the product of A and B, if the sum is less than or equal to 100.2.) Q = {A, B} S = {a,b,c,d,e,f...z} qi = {A} F = {B} P = state A B a,b,c,d,e,f...y A B 28 B BGiven a and b are int variables and c is a double variable. The initial value for a, b, and c are 8, 4, and 2.5. Show the working steps and result for the following expression:(i) a + b++ - c
- 1. Simplify the following expressions. Play with them b) Y = C.(AC.B)Perform the following using DEV-C++ Show your solution Write a program that determines a student’s grade. It reads four test scores (between0 and 100) and calculates the grade based on the following rules: If the average score is 90 or more, the grade is ‘A’. If the average score is between 80 and 90, the grade is ‘B’. If the average score is between 70 and 80, the grade is ‘C’. If the average score is between 60 and 70, the grade is ‘D’. If the average score is less than 60, the grade is ‘F’.PYTHON (Uee While Loop) only Write a python program that calculates the populations of foxes and rabbits who live within a certain area of land, as that number changes from year to year. It will take the initial populations as inputs, and then proceed to calculate the year-by-year changes. The following is derived from the “Lotka-Volterra equations”, which you may look up if you desire. Essentially, we will model the foxes and rabbits with 4 constants, and 2 data structures of year-by-year values. They are defined as follows: r[y] # of rabbits in year y f[y] # of foxes in year y α or alpha - birth rate of rabbits β or beta - death rate of rabbits, dependent on # of foxes γ or gamma - birth rate of foxes, dependent on # of rabbits δ or delta - death rate of foxes, caused naturally The formulas we will use are: r[y]=r[y−1]+(r[y−1]×α)−(r[y−1]×f[y−1]×β)r[y]=r[y−1]+(r[y−1]×α)−(r[y−1]×f[y−1]×β) f[y]=f[y−1]+(f[y−1]×r[y−1]×γ)−(f[y−1]×δ)f[y]=f[y−1]+(f[y−1]×r[y−1]×γ)−(f[y−1]×δ) However,…
- 4. Convert the following Boolean expression to the sum of minterms form. f(a, b, c) = a'b' + bc + ac' 5. Convert the following Boolean expression to the product of maxterms form. f(a, b, c) = a + bcQ.1: Given the definite integral 4 y = f(x) = dx 1 a. Use MATLAB's symbolic int function to obtain the value of this integral b. Obtain the value of this integral with the q = quad('f(x)', a, b) function %3D c. Obtain the value of this integral with the q = quad('f(x)', a, b, tol) function where tol = 10-9 %3DComputer Science QuestionIn input you are provided with two words of the same length. Each word contains only lower-case alphabets. A shift operation will remove the first character of a word and add the same character at the end of that word. Your goal is to develop a python program that outputs the number of shift operations required on the second word to maximize the length of the longest common prefix of both the words.Test Case:5ccaddbddccOutput:3