Concept explainers
Golden Gate cables The profile of the cables on a suspension bridge may be modeled by a parabola. The central span of the Golden Gate Bridge (see figure) is 1280 m long and 152 m high. The parabola y = 0.00037x2 gives a good fit to the shape of the cables, where |x| ≤ 640, and x and y are measured in meters. Approximate the length of the cables that stretch between the tops of the two towers.
![Check Mark](/static/check-mark.png)
Want to see the full answer?
Check out a sample textbook solution![Blurred answer](/static/blurred-answer.jpg)
Chapter 6 Solutions
Calculus, Early Transcendentals, Single Variable Loose-Leaf Edition Plus MyLab Math with Pearson eText - 18-Week Access Card Package
Additional Math Textbook Solutions
Precalculus (10th Edition)
Calculus and Its Applications (11th Edition)
Calculus, Single Variable: Early Transcendentals (3rd Edition)
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
Precalculus Enhanced with Graphing Utilities (7th Edition)
- EXAMPLE TL ROBOT In a TL robot, assume that the origin of global coordinate system is at J2 Determine the coordinate of the ef point if the joint twist by an angle of 30 degrees and the variable length is lm. Determine the variable link length and angle twist if the ef is located at (0.7071, 0.7071) J2(X2, Y2) Ean (x, y) L2 J1(X1. Y1)arrow_forwardZ = 1 Consider line function f(x,y) = 3x – 2y - 6+ Z, where Z is your student number mod 3. a) By using DDA algorithm, b) By using Bresenham algorithm, Show your steps and find the pixels to be colored between x = -1 and x=(4+Z).arrow_forwardThe area of an arbitrary triangle can be computed using the formula area = √(s(s–a)(s–b)(s–c)) where the square root is applied to the entire product (Links to an external site.) and where a, b, and c are the lengths of the sides, and s is the semiperimeter of the triangle given (Links to an external site.) by the formula: s = (a + b + c)/2 EXTRA CREDIT: 10 points for adding a function named getInput that initializes the three side lengths from outside of main. Write a void function named (Links to an external site.) triangle that computes the area and perimeter (as well as the semiperimeter which will be used to compute the area) of a triangle based (Links to an external site.) on the length of the sides. The function should use five parameters (Links to an external site.)—three value (Links to an external site.) parameters (Links to an external site.) that provide the lengths of the edges and two reference parameters (Links to an external site.) that store (Links to an external…arrow_forward
- Penalty kicks in soccer. Let's consider a situation where a football player has to faceoff the goalkeeper in a penalty kickoff. Standing infront of the goalpost, the Kicker (player 1) has several angle which he could kick the ball to the goalpost. Let's say he could kick the ball in the Left corner of the goalpost, Right corner of the goalpost or shoot straight through the Center. And, same as the player, the goalkeeper (player 2) also has three options to predict which direction the player would kick the ball and try to stop it. This game can be represented using the following 3 x 3 matrix: Left Center Right 63 37 94 95 Left 100' 100 100' 100 100' 100 100. 6 100' 100 91 9 94 Center 100' 100 100' 100 94 6 93 7 60 40 Right 100' 100 100' 100 100' 100 In the above matrix, the payoff of the kicker is the probability that he scores and the payoff of the goalkeeper is the probability that the kicker doesn't score. We know that the total probability of an event is 1, therefore, all the…arrow_forwardCorrect answer will be upvoted else downvoted. Computer science. You and your companions live in n houses. Each house is situated on a 2D plane, in a point with integer organizes. There may be various houses situated in a similar point. The chairman of the city is requesting you for places for the structure from the Eastern show. You need to track down the number of spots (focuses with integer arranges), so the outline distance from every one of the houses to the show is insignificant. The display can be inherent a similar point as some house. The distance between two focuses (x1,y1) and (x2,y2) is |x1−x2|+|y1−y2|, where |x| is the outright worth of x. Input First line contains a solitary integer t (1≤t≤1000) — the number of experiments. The principal line of each experiment contains a solitary integer n (1≤n≤1000). Next n lines portray the places of the houses (xi,yi) (0≤xi,yi≤109). It's reliable that the amount of everything n doesn't surpass 1000. Output For…arrow_forwardAlthough the plot function is designed primarily for plotting standard xy graphs, it can be adapted for other kinds of plotting as well. b. Make a plot of the curve, which is defined parametrically by the equations x = 2cosθ + cos2θ, y = 2sinθ - sin2θ, where 0 < θ < 2π. Take a set of values of θ between zero and 2π and calculate x and y for each from the equations above, then plot y as a function of x. b. Taking this approach a step further, one can make a polar plot r = f(θ) for some function f by calculating r for a range of values of θ and then converting r and θ to Cartesian coordinates using the standard equations x = r cosθ, y = r sinθ. Use this method to make a plot of the function r = ecosθ – 2 cos(4θ) + sin5 (θ/12) in the range 0 <= θ <= 24π. use python code to answer the highlight onearrow_forward
- INTRODUCTION: Heat conduction from a cylindrical solid wall of a pipe can be determined by the follow T1-T2 q = 2nLk R2 In R. where: q is the computed heat conduction in Watts. k is the thermal conductivity of the pipe material in Watts/°C/m. L is the length of the pipe in cm. Ri is the inner radius of the pipe in cm. R2 is the outer radius of the pipe in cm. Ti is the internal temperature in °C. T2 is the external temperature in °C. ASSIGNMENT: Write a C program that will allow the user to enter the inner and outer radii of the pipe, the the internal and external temperatures. Once the user enters the input values, the programarrow_forwardQuadratic Root Solver For a general quadratic equation y = ax? + bx + c, the roots can be classified into three categories depending upon the value of the discriminant which is given by b2 - 4ac First, if the discriminant is equal to 0, there is only one real root. Then, if the discriminant is a positive value, there are two roots which are real and unequal. The roots can be computed as follows: -b+ Vb? – 4ac 2a Further, if the discriminant is a negative value, then there are two imaginary roots. In this case, the roots are given by b ь? - 4ас 2a 2a Programming tasks: A text file, coeff.txt has the following information: coeff.txt 3 4 4 4 1 4 Each line represents the values of a, b and c, for a quadratic equation. Write a program that read these coefficient values, calculate the roots of each quadratic equation, and display the results. Your program should perform the following tasks: • Check if the file is successfully opened before reading • Use loop to read the file from main…arrow_forwardQ. Given a 2d grid map of '1's (land) and '0's (water),count the number of islands.An island is surrounded by water and is formed byconnecting adjacent lands horizontally or vertically.You may assume all four edges of the grid are all surrounded by water. Example 1: 11110110101100000000Answer: 1 Example 2: 11000110000010000011Answer: 3""" def num_islands(grid): count = 0 for i in range(len(grid)): for j, col in enumerate(grid[i]): if col == 1: dfs(grid, i, j) count += 1 Please code it. .arrow_forward
- Draw a CIRCLE OF UNIT RADIUS: Use parametric equation of unit circle x=cos , y= sin 0arrow_forwardThis problem is on Computer Graphics and is based on the topic 'Perspective Projection'. Please provide a step-by-step solution to the problem and explain the steps. The solution must include the General purpose perspective projection matrix. Question: Let a 3D point (423, -423, 423) be projected on a projection plane. Given that the center of the projection plane is (0.0, 0.0, -423.0) and the coordinate of the COP is (4, 2, 3). Determine the coordinate of that 3D point on the projection plane using a general purpose perspective projection matrix.arrow_forwardThe spring in the figure below is stretched from its equilibrium position at x = 0 to a positive coordinate xo. ko HINT x = 0 x = xo PE sn PE 50 The force on the spring is F and it stores elastic potential energy PESO. If the spring displacement is tripled to 3x, determine the ratio of the new force to the original force, and the ratio of the new to the original elastic potential energy, Fo Fo PESO (a) the ratio of the new force to the original force, PE ST PE SO (b) the ratio of the new to the original elastic potential energy,arrow_forward
- C++ for Engineers and ScientistsComputer ScienceISBN:9781133187844Author:Bronson, Gary J.Publisher:Course Technology Ptr
![Text book image](https://www.bartleby.com/isbn_cover_images/9781133187844/9781133187844_smallCoverImage.gif)