Concept explainers
(Geometry: great circle distance) The great circle distance is the distance between two points on the surface of a sphere. Let (x1, y1) and (x2, y2) be the geographical latitude and longitude of two points. The great circle distance between the two points can be computed using the following formula:
Write a
Want to see the full answer?
Check out a sample textbook solutionChapter 4 Solutions
Introduction to Java Programming and Data Structures: Brief Version (11th Global Edition)
- (Python matplotlib or seaborn) CPU Usage We have the hourly average CPU usage for a worker's computer over the course of a week. Each row of data represents a day of the week starting with Monday. Each column of data is an hour in the day starting with 0 being midnight. Create a chart that shows the CPU usage over the week. You should be able to answer the following questions using the chart: When does the worker typically take lunch? Did the worker do work on the weekend? On which weekday did the worker start working on their computer at the latest hour? cpu_usage = [ [2, 2, 4, 2, 4, 1, 1, 4, 4, 12, 22, 23, 45, 9, 33, 56, 23, 40, 21, 6, 6, 2, 2, 3], # Monday [1, 2, 3, 2, 3, 2, 3, 2, 7, 22, 45, 44, 33, 9, 23, 19, 33, 56, 12, 2, 3, 1, 2, 2], # Tuesday [2, 3, 1, 2, 4, 4, 2, 2, 1, 2, 5, 31, 54, 7, 6, 34, 68, 34, 49, 6, 6, 2, 2, 3], # Wednesday [1, 2, 3, 2, 4, 1, 2, 4, 1, 17, 24, 18, 41, 3, 44, 42, 12, 36, 41, 2, 2, 4, 2, 4], # Thursday [4, 1, 2, 2, 3, 2, 5, 1, 2, 12, 33, 27, 43, 8,…arrow_forwardHeat capacity of a solid: Debye's theory of solids gives the heat capacity of a solid at temperature T to be 3 T rOp/T Cy = 9VpkB (e* – 1)2 dx, - where V is the volume of the solid, p is the number density of atoms, kg is Boltzmann's constant, and 0D is the so-called Debye temperature, a property of solids that depends on their density and speed of sound. Develop a computer code to evaluate Cy (T) for a given value of the temperature, for a sample consisting of 1000 cubic centimeters of solid aluminum, which has a number density of p = 6.022 x 1028m-3 and a Debye temperature of 0p = 428K. The Boltzmann's constant kg = 1.380649 x 10-23 J · K-1. Please evaluate the integral with the following methods: (a) MATLAB adaptive Simpson quadrature, [Q.FCNT] = QUAD(FUN,A,B,TOL) with TOL =le-10.arrow_forwardb) What is the difference between (x+H), (x+-), and (--x). c) Write the purpose for the use of the following: =, |I, //arrow_forward
- (Physics: acceleration) Average acceleration is defined as the change of velocity divided by the time taken to make the change, as shown in the following formula: a = (v1 - v0) / t Here, v0 is the starting velocity in meters per second, v1 is the ending velocity in meters per second, and t is the time span in seconds. Assume v0 is 5.6, v1 is 10.5, and t is 0.5, and write the code to display the average acceleration. Class Name: Exercise01_02Extraarrow_forward(Algebra: solve 2 X 2 linear equations) You can use Cramer's rule to solve the following 2 x 2 system of linear equations: ed – bf af – ec y bc ax + by = e X = cx + dy = f ad ad – bc Write a function with the following header: void solveEquation(double a, double b, double c, double d, double e, double f, double& x, double& y, bool& isSolvable) If ad – bc is 0, the equation has no solution and isSolvable should be false. Write a program that prompts the user to enter a, b, c, d, e, and f and displays the result. If ad – bc is 0, report that "The equation has no solution." See Program- ming Exercise 3.3 for sample runs.arrow_forwardQ1) 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.arrow_forward
- (Factorials) Factorials are used frequently in probability problems. The factorial of a positive integer n (written n! and pronounced “n factorial”) is equal to the product of the positive integers from 1 to n. Write an application that calculates the factorials of 1 through 20. Use type long . Display the results in tabular format. What difficulty might prevent you from calculating the factorial of 100?arrow_forward5. (Algebra: solve 2 X 2 linear equations) You can use Cramer's rule to solve the following 2 X 2 system of linear equation: ax + by = e cx + dy = f ● x = ed - bf bc ad y = af - ec ad bc - Write a program that prompts the user to enter a, b, c, d, e, and f and display the result. If ad- bc is 0, report that The equation has no solution. Enter a, b, c, d, e, f: 9.0, 4.0, 3.0, -5.0, -6.0, -21.0 Enter x is -2.0 and y is 3.0 Enter a, b, c, d, e, f: 1.0, 2.0, 2.0, 4.0, 4.0, 5.0 Enter The equation has no solutionarrow_forwardFind the error in the following codearrow_forward
- (Geometry: area of a regular polygon) A regular polygon is an n-sided polygon in which all sides are of the same length and all angles have the same degree (i.e., the polygon is both equilateral and equiangular). The formula for computing the area of a regular polygon is n x s? Area 4 X tan Here, s is the length of a side. Write a program that prompts the user to enter the number of sides and their length of a regular polygon and displays its area. Here is a sample run:arrow_forwardComputer 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 ?!arrow_forward6.Coding-----""Euler's totient function, also known as phi-function ϕ(n),counts the number of integers between 1 and n inclusive,which are coprime to n.(Two numbers are coprime if their greatest common divisor (GCD) equals 1)."""def euler_totient(n): """Euler's totient function or Phi function. Time Complexity: O(sqrt(n)).""" result = n for i in range(2, int(n ** 0.5) + 1): if n % i == 0: while n % i == 0: n //= i.arrow_forward
- C++ Programming: From Problem Analysis to Program...Computer ScienceISBN:9781337102087Author:D. S. MalikPublisher:Cengage Learning