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Gateway Arch The shape of the Gateway Arch in St. Louis (with a height and a base length of 630 ft) is modeled by the function y = −630 cosh (x/239.2) + 1260, where |x| ≤ 315, and x and y are measured in feet (see figure). The function cosh x is the hyperbolic cosine, defined by
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Chapter 6 Solutions
CODE/CALC ET 3-HOLE
Additional Engineering Textbook Solutions
University Calculus: Early Transcendentals (4th Edition)
Glencoe Math Accelerated, Student Edition
Thomas' Calculus: Early Transcendentals (14th Edition)
Calculus and Its Applications (11th Edition)
- Define a function convert_to_milliliters() that has two parameters as the number of tablespoons and teaspoons. The function returns the volume converted to milliliters, given that: 1 teaspoon = 4.92892 milliliters 1 tablespoon = 3 teaspoons Ex: If the input is: 2 1 then the output is: The number of milliliters is 34.502arrow_forwardA = 3 B = 6 C = 9 D= 7 mod10(X) is a function that returns the modulus of X after dividing it to 10. abs(X) is a function that returns the absolute value of X. Examples: mod10(6) = 6, mod10(16)=6, mod10(0) = 0, mod10(15)=5, mod10(41)+12 = 13 abs(4-8) = 4, abs(8-4)=4, abs(2-9) = 7, abs(8-1) = 7, abs(4-4)=0, abs(2-9)+8 = 15 Calculate the following: K1 = mod10(A+B) + 1= ……. K2 = abs(C-D) + 3 = ……. K3 = abs(D-2) + 1 = ……. K4 = mod10(A+B+C+D) + 1 = ……. K1 = mod((A+B), 10) + 1; K2 = abs(C-D) + 3; K3 = abs((D-2)) + 1; K4 = mod((A+B+C+D),10)+1;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_forward
- Cone is a three-dimensional structure having a circular base where a set of line segments, connect all of the points on the base to a common point called apex. A cone can be seen as a set of non-congruent circular discs that are stacked on one another such that ratio of the radius of adjacent discs remains constant. The area is a cone is computed as A = (s sin(x))² where, "s" is the slant and "x" is the angle in radian. Write a C++ program that computes the area A of Cone by reading its parameter from a text file “input.txt". Each line of the file represents the Cone name, the slant "s" and the angle "x" of a Cone, respectively. The program should read each line to compute the area A of each Cone. It should also display the minimum computed area. Your program should implement the following functions: Area(): This function receives the values of "s", and "x" then computes and returns the value of area A. Print(): This function receives the name of Cone and the computed area A then…arrow_forwardThe Ancient Mesopotamians associated each of their deities with a sacred number. An artist has created figurines of the main deities with the weight corresponding to their respective number. The artist wants to ship the figurines to an art gallery using boxes each holding a maximum weight of 90 kilograms. The numbers in the table represent the weight in kilograms of the figurines: figurine Adad Anum Ea Enlil Girra Ishtar Marduk Ninlil Ninurta Nuska number / weight [kg] 6 60 40 50 10 15 10 45 50 10 Shamash 20 14 Shakan Sin 30 (a) Find the lower bound & for the number of boxes required to fit all figurines. (b) Use the first fit decreasing algorithm to estimate the minimum number of boxes required to ship all figurines. Does the first fit decreasing algorithm give an optimal solution? (c) Find by trial and error a solution needing only l boxes.arrow_forwardCone is a three-dimensional structure having a circular base where a set of line segments, connect all of the points on the base to a common point called apex. A cone can be seen as a set of non-congruent circular discs that are stacked on one another such that ratio of the radius of adjacent discs remains constant. The area is a cone is computed as A = (s sin(x))² where, "s" is the slant and "x" is the angle in radian. Write a C++ program that computes the area A of Cone by reading its parameter from a text file "input.txt". Each line of the file represents the Cone name, the slant "s" and the angle "x" of a Cone, respectively. The program should read each line to compute the area A of each Cone. It should also display the minimum computed area. Your program should implement the following functions: Area(): This function receives the values of "s", and "x" then computes and returns the value of area A. Print(): This function receives the name of Cone and the computed area A then…arrow_forward
- PEARHEAEGANEHNA 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 let x = "me"; let y = 3; let z = myFun (x, y) alert(z); z=plusOne(plusOne (y)); alert(x); function myFun (a,b){ alert (b); moreFun(); return b* a. length; } fucntion moreFun () { } alert(y); function plusOne (c) return c + 1arrow_forwardMatlab A rocket is launched vertically and at t-0, the rocket's engine shuts down. At that time, the rocket has reached an altitude of ho- 500 m and is rising at a velocity of t125 m/s. Gravity then takes over. The height of the rocket as a function of time is: h(t)- ho+vot-gt², t20 where g = 9.81 m/s². The time t=0 marks the time the engine shuts off. After this time, the rocket continues to rise and reaches a maximum height of himax meters at time t-tmax. Then, it begins to drop and reaches the ground at time t = tg. a. Create a vector for times from 0 to 30 seconds using an increment of 2 s. b. Use a for loop to compute h(t) for the time vector created in Part (a). e. Create a plot of the height versus time for the vectors defined in Part (a) and (b). Mark the z and y axes of the plot using appropriate labels. d. Noting that the rocket reaches a maximum height, Amax, when the height function, h(t), attains a maxima, compute the time at which this occurs, tmax, and the maximum…arrow_forward2a. Classification task For the following two classes of observations (class cross and class circle), state and explain whether it is possible for a perceptron to leam the required output. + +arrow_forward
- Matlab A rocket is launched vertically and at t-0, the rocket's engine shuts down. At that time, the rocket has reached an altitude of ho- 500 m and is rising at a velocity of to 125 m/s. Gravity then takes over. The height of the rocket as a function of time is: h(t)-ho+vot-gt², t20 where g -9.81 m/s². The time t-0 marks the time the engine shuts off. After this time, the rocket continues to rise and reaches a maximum height of Amax meters at time t = tmax. Then, it begins to drop and reaches the ground at time t = tg. a. Create a vector for times from 0 to 30 seconds using an increment of 2 s. b. Use a for loop to compute h(t) for the time vector created in Part (a). e. Create a plot of the height versus time for the vectors defined in Part (a) and (b). Mark the and y axes of the plot using appropriate labels. d. Noting that the rocket reaches a maximum height, max, when the height function, h(t), attains a maxima, compute the time at which this occurs, max, and the maximum height,…arrow_forwardHW7_2 This problem uses an interpolating polynomial to estimate the area under a curve. Fit the interpolating polynomial to the following set of points. These points are the actual values of f(x) = sin (e* – 2) 0.4 0.8 1.2 1.6 y -0.8415 |-0.4866 0.2236 0.9687 0.1874 a) Plot the function f(x) and the interpolating polynomial, using different colors. Use polyfit and polyval. Also include the data points using discrete point plotting. b) We wish to estimate the area under the curve, but this function is difficult to integrate. Hence, instead 1.6 of finding ° sin(e* – 2) dx (which is the same as finding the area under the curve sin (e* – 2) ), we will compute the area under the interpolating polynomial over the domain 0arrow_forwardThere are two isotopes of an unknown element, X-19 and X-21. The abundance of X-19 is 14.29%. A weighted average uses the percentages of each isotope to scale their contribution to the total mass. Each isotope's contribution is the percentage (in decimal form) multiplied by the mass of the isotope. What is the contribution (in amu) to the weighted average from the X-19 isotope, which has a mass of 19.00 amu?arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
- Operations Research : Applications and AlgorithmsComputer ScienceISBN:9780534380588Author:Wayne L. WinstonPublisher:Brooks ColeC++ for Engineers and ScientistsComputer ScienceISBN:9781133187844Author:Bronson, Gary J.Publisher:Course Technology Ptr
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