b\ If Z(x, y) = ex cos y + sin(x² - y), is a two variable real value math function, use a MATLAB function file to expressing this function, such that, the inputs to the function are x and y, and the output is Z.
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- (Numerical) Heron’s formula for the area, A, of a triangle with sides of length a, b, and c is A=s(sa)(sb)(sc) where s=(a+b+c)2 Write, test, and execute a function that accepts the values of a, b, and c as parameters from a calling function, and then calculates the values of sand[s(sa)(sb)(sc)]. If this quantity is positive, the function calculates A. If the quantity is negative, a, b, and c do not form a triangle, and the function should set A=1. The value of A should be returned by the function.İN C PROGRAMMİNG. Write a function to compute the following sum where x and n are the parameters of the function.Write a function to determine the resultant force vector R of the two forces F₁ and F2 applied to the bracket, where 0₁ and 02. Write R in terms of unit vector along the x and y axis. R must be a vector, for example R = [Rx, Ry]. The coordinate system is shown in the figure below: F₁ y 0₂ 0₁ F2
- Make a function which will calculate the pressure of a gas using Van der Waals Equation: The Van der Waals function will have arguments: temperature (T) in Kelvin,molar volume (Vm) in L/mole,critical temperature (Tc) in Kelvin andcritical pressure (Pc) in atm.(Tc and Pc are characteristics of the substance.) Within the function also define the gas constant R= 0.08206 L·atm/mole·K. The Van der Waals equation to calculate the pressure, P is: Where Within the function, create variables a, b and Vc, and calculate the value for each prior to calculating P. Using the MATLAB editor, make a script m-file for the following: Calculate the pressure withTemperatures over the range 255 to 315 K at intervals of 2 K, and Vm = 25.35 L/mole, Consider two substances:For ammonia: Tc = 141.15 K and Pc = 111.5 atm.For carbon dioxide: Tc = 241.9 K and Pc = 73.0 atm. Make a table with temperature in column 1, pressure for carbon dioxide in column 2 and pressure for ammonia in column 3, and write the…(Statics) A beam’s second moment of inertia, also known as its area moment of inertia, is used to determine its resistance to bending and deflection. For a rectangular beam (see Figure 6.6), the second moment of inertia is given by this formula: Ibh3/12 I is the second moment of inertia (m4). b is the base (m). h is the height (m). a. Using this formula, write a function called beamMoment() that accepts two double- precision numbers as parameters (one for the base and one for the height), calculates the corresponding second moment of inertia, and displays the result. b. Include the function written in Exercise 4a in a working program. Make sure your function is called from main(). Test the function by passing various data to it.(Statics) An annulus is a cylindrical rod with a hollow center, as shown in Figure 6.7. Its second moment of inertia is given by this formula: I4(r24r14) I is the second moment of inertia (m4). r2 is the outer radius (m). r1 is the inner radius (m). a. Using this formula, write a function called annulusMoment ( ) that accepts two double-precision numbers as parameters (one for the outer radius and one for the inner radius), calculates the corresponding second moment of inertia, and displays the result. b. Include the function written in Exercise 5a in a working program. Make sure your function is called from main(). Test the function by passing various data to it.
- (Practice) The volume, v, and side surface area, s, of a cylinder are given by these formulas: v=r2ls=2rl r is the cylinder’s radius, and l is its length. Using these formulas, write and test a function named cylinder() that accepts a cylinder’s radius and length and returns its volume and side surface area.Q. Given two matrices, Write a function to check whether the two matrices are identical or not. if all the elements in the respective positions of the two matrices are same, then say that they are identical and if not same then say that they are not identical. Write a program in c++ for this problem statement.A Maclaurin series for the exponential function e* is given by: x' x2 x3 x* 1+ 1! x' ex %3D n! 2! 3! 4! n=0 i) Write a function to calculate the factorial of a positive integer. . Name your function 'assignment'. ii) Using the given equation, calculate the approximate solution for x = 1 by looping from n = 1 to n = 20. Apply the function created in i) for the calculation of factorials. Repeat ii) for x = 2, 3, 4, 5 and 6. Store all your answers, including your answer in ii) inside a single array. Hence, plot a graph of e* acainst x using a blue line and blue circle markers. Label the x-axis as 'x', the y-axis as 'e* i)
- m2 separated by a distance d is given by:F = Gm1m2d 2where G is the universal gravitational constant:G = 6.673 × 10−8 cm3g × sec2Write a function definition that takes arguments for the masses of two bod-ies and the distance between them and that returns the gravitational force. Since you will use the preceding formula, the gravitational force will be in dynes. One dyne equalsg × cmsec2You should use a globally defined constant for the universal gravitational constant. Embed your function definition in a complete program that computes the gravitational force between two objects given suitable inputs. Your program should allow the user to repeat this calculation as often as the user wishes. C++a. Consider the Boolean expression ((x 100)) Why is this expression probably not what the programmer intended? b. Write a function that will receive a matrix as an input argument and will calculate and return the overall average of all numbers in the matrix. Use loops, not built-in functions, to calculate the average.Write a function-file to obtain the dot product and the vector product of two vectors a and b. Use the function to evaluate the dot and vector products of vectors x and y, where x = (1 5 6) and y = (2 3 8).