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pls can someone help me with this using mathlab. thanks Shooting range: We have a cannon that can fire projectiles with speed 9 at an

pls can someone help me with this using mathlab.

thanks

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Shooting range: We have a cannon that can fire projectiles with speed 9 at an angle 6. What angle should we use to force our cannon to hit a target that is R meters away. The trajectory of the projectile is given by the equation: 1 9 The distance R is the location of x when y is zero. So the function to determine the angle given a distance Ris: 1 R f(0) = R tano y(x) = x tano g( 7 cose 3g( O cose Where is the velocity (m/s), R is the target range (m), & is the angle needed to reach the target range (degrees), and g is the gravity (m/s2). What is the angle 0 needed to reach a target 100 meters away if the speed of your projectile is 100 m/s? If needed, set tolerance to 0.01. Task 1: Determine a suitable root finding method (Due 11/3 11:59pm) Choose one bracketing method (Bisection method or False position method), and one open method (Newton Raphson, Modified Newton Raphson, or Secant method) to find the answer. Plot the function f(0) and f(0) = 0 to set your limits for the bracketing methods. Set the number of iterations for all methods (you choose it). Compare your results between open and closed methods using the approximate percentage error of the final iteration from each method. Display the answer accordingly. Compare the computational speed of both methods programmed (tic/toc). Display the answer accordingly. Out of your chosen two methods, which one is better? Why/how did you choose that number of iterations? Support your answer and display it. Electronic Science: An electronics company produces transistors, resistors, and computer chips. Each transistor requires eight units of copper, one unit of zinc, and three units of glass. Each resistor requires one unit of copper, one unit of zinc, and two units of glass. Each computer chip requires three units of copper, two units of zinc, and five units of glass. Component Copper Zinc Glass Transistor 8 1 3 Resistors 1 1 1 Computer chips 3 2 5 Supplies of these materials vary from week to week, so the company needs to determine a different production run each week. Due to COVID shortages the total amount of materials available today are: 900 units of copper, 410 units of zinc, and 580 units of glass. Shooting range: We have a cannon that can fire projectiles with speed 9 at an angle 6. What angle should we use to force our cannon to hit a target that is R meters away. The trajectory of the projectile is given by the equation: 1 9 The distance R is the location of x when y is zero. So the function to determine the angle given a distance Ris: 1 R f(0) = R tano y(x) = x tano g( 7 cose 3g( O cose Where is the velocity (m/s), R is the target range (m), & is the angle needed to reach the target range (degrees), and g is the gravity (m/s2). What is the angle 0 needed to reach a target 100 meters away if the speed of your projectile is 100 m/s? If needed, set tolerance to 0.01. Task 1: Determine a suitable root finding method (Due 11/3 11:59pm) Choose one bracketing method (Bisection method or False position method), and one open method (Newton Raphson, Modified Newton Raphson, or Secant method) to find the answer. Plot the function f(0) and f(0) = 0 to set your limits for the bracketing methods. Set the number of iterations for all methods (you choose it). Compare your results between open and closed methods using the approximate percentage error of the final iteration from each method. Display the answer accordingly. Compare the computational speed of both methods programmed (tic/toc). Display the answer accordingly. Out of your chosen two methods, which one is better? Why/how did you choose that number of iterations? Support your answer and display it. Electronic Science: An electronics company produces transistors, resistors, and computer chips. Each transistor requires eight units of copper, one unit of zinc, and three units of glass. Each resistor requires one unit of copper, one unit of zinc, and two units of glass. Each computer chip requires three units of copper, two units of zinc, and five units of glass. Component Copper Zinc Glass Transistor 8 1 3 Resistors 1 1 1 Computer chips 3 2 5 Supplies of these materials vary from week to week, so the company needs to determine a different production run each week. Due to COVID shortages the total amount of materials available today are: 900 units of copper, 410 units of zinc, and 580 units of glass

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