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MATLAB PROBLEM
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- 1. Derive the modified distance formula if we want the projectile lands on a hill that has a height of h(x) (the function x increases monotonically), at a distance R. Write F(x) whose roots must be found in order to find the angle initial, given the initial velocity V0. (With python 3)(a) Write a code to compare flow over a cylinder with circulation (where vortex strength K = 4лaU). Where the radius of the cylinder is radius, a=1 m, and the uniform flow magnitude U=14.5 m/s. (b) Plot a pressure profile as a function of distance at y=0.### Given the resolution of the problem 5.102 below, develop a python program (without using numpy) that shows the found temperature distribution
- Problem 4 - GGiven two points A(-4, –5) and B(4, 1) in XY coordinate system. 4a. Write Python code to calculate the distance between points A and B. 4b. Suppose that the line equation passing through points A and B is y = mx + b, where m is the slope and b is the y-intercept. Write the code to find the slope and the y-intercept of the line. 4c. Write a code to plot the graph of the line equation y = mx + b from part (4b) on the interval -4 < x < 4. Provide appropiate labels for both axes.Please help to solve the error in this codePLEASE USE PYTHON CODE 12. Compute the zero of the function y(x) from the following data x = 0.2, 0.4, 0.6, 0.8, 1.0 y = 1.150, 0.855, 0.377, -0.266, -1.049 use inverse interpolation with the natural cubic spine. Hint: Record the data so that the values of y are in ascending order.
- Computer Science Please help You went camping overnight but forgot to take with you a heater and need to make one using a dc battery of V0 and spare electrical wires of different lengths and resistivity. The battery has lead with the resistance of Rw. Please obtain the formula for the joule heat power and plot it as a function of RH ( in MATLAB) and in comparison to the resistance of the connecting leads, Rw. (Note: express RH = x Rw, where x is the effective ratio; vary x and plot Pmax vs. x). and Find the heating power if the heater is made out of superconducting metal. Will this heater work and why?! What is to happen on the molecular ( i.e. electron) level ?!Use Newton’s method to: (a) Create a program that computes for the power am/n given a real number a. You are not allowed to use roots, or raise numbers to fractional powers in the formula. [Hint: This value is the solution of xn − am = 0.] (b) Create a program that computes for arcsin(x) of a given number x ∈ [0, 1]. You are not allowed to use inverse trigonometric functions in the formula but trigonometric functions such as sin, cos, tan are allowed.(a) {w|w contains a 1 after a 0 and before another 0} (b) {w |w does not contain the substring 00} (c) {w |w contains an odd number of 1s or exactly one 0} 2. Use the algorithm you learned in class to convert the following NFA to an equivalent regular expression. a, A Po
- Answer in Python. Given this code to start with (definitions for the Saha and Boltzmann Equations), I must: use the Saha equation (defined in the second code block) to find the temperature of the partial ionization zone for a certain gas. (Hint: The Saha function will return answers for the Saha equation for gases of arbitrary composition)Q1) Write a computer program that uses Newton's method to find the root of a given function, and apply this program to find the root of the following functions, using co as given. Stop the iteration when the error as estimated by n+1 - Enl is less than 10-6. Compare to your results for bisection. (a) f(x) = 1-2xe-/2, xo = 0; (b) f(x)=5-x-¹, x = ¹; (c) f(x)= x³ - 2x - 5, xo = 2; (d) f(x)=e-2, xo = 1; (e) f(x)=x-e, xo = 1; (f) f(x)=x-x-1, xo = 1; (g) f(x)=x²-sinx, xo =/; (h) f(x)= x³-2,0 = 1; (i) f(x) = x + tan x, zo = 3; (j) f(x)=2x-¹ In x, xo = 3.The number 72 is to be represented as the sum of two positive parts, such that the product of one of the parts by the cube of the other is a maximum. It is desired to find the two parts.