The Gaussian probability density function (pdf) of an object is given via its mean andcovariance. If you had a second object, with the identical pdf (identical moments,same mean (position and location) and second moment (covariance)). Or in otherwords if you have the same object twice in the same location: What would be theprobability of collision?<11>1

To answer this question, let's first break down what it means when we say the Gaussian probability…

Answered: The Gaussian probability density…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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I am trying to compute the probability of collision with the monte carlo method in MATLAB. But I get an error in teh following code. The error is the matrix P_01 must be semi definete and P_02 must be symmetric. How should I fix this problem? % Initial Mean and Covariance mu_01 = [153446.180; 41874155.872; 0; 3066.875; -11.374; 0] / 1000; P_01 = [6494.080 -376.139 0 0.0160 -0.494 0; -376.139 22.560 0 -9.883e-4 0.0286 0; 0 0 1.205 0 0 -6.071e-5; 0.0160 -9.883e-4 0 4.437e-8 -1.212e-6 0; -0.494 0.0286 0 -1.212e-6 3.762e-5 0; 0 0 -6.071e-5 0 0 3.390e-9] * 1e-6; mu_02 = [153446.679; 41874156.372; 5.000; 3066.865; -11.374; -1.358e-6] / 1000; P_02 = [6494.224 -376.156 -4.492e-5 0.0160 -0.494 -5.902e-8; -376.156 22.561 2.550e-6 -9.885e-3 0.0286 3.419e-9; -4.492e-5 2.550e-6 1.205 -1.180e-10 3.419e-9 -6.072e-5; 0.0160 -9.883e-3 -1.180e-10 4.438e-8 -1.212e-6 -1.448e-13; -0.494 0.0286 3.419e-9 -1.212e-6 3.762e-5 4.492e-12; -5.902e-8 3.419e-9 -6.072e-5 -1.448e-13 4.492e-12 3.392e-9] * 1e-6;…
Please solve this fast and correct, industrial engg problem
look at the graph wich presents F vs x graph ... Q : Determine the compression of the spring from the change in position of the cart+block in Graph ? please tell me the steps how can I find compression of the spring from the change in position of the cart+block
Manufacturing process with two variables x1,x2 described by the empirical model: y=bo +b1 x1 + b2 x2 + b12 x1 x2 + b3 (x1)^2 +b4 (x2)^2 please refere to the image attached
3. Problem Estimate the frictional resistance Rp for a container ship using the ITTC 1957 model-ship correlation line Equation (2): 0.075 CF [ log,,(Re) – 21 The ship has the following particulars: Full scale ship data length between perpendiculars Lep length in waterline length over wetted surface 195.40 m Lwz Los For the wetted surface S you can use the following formula by Kristensen and Lützen (2012) derived for container ships. 200.35 m 205.65 m breadth B 29.80 m draft T 10.10 m 37085.01 m3 S = 5 + Lw. T 0.995 displacement design speed Again, use the most up-to-date ITTC water properties sheet for density and kinematic viscosity. V 21.00 kn
The governing equation of motion for a base motion system is given by (assume the units are Newton) mä(t)+ci(t)+kx(t) =cY@, cos(@,t) +kY sin(@t) %3D Given that m = 180 kg, c = 30 kg/s, Y = 0.02 m, and о, — 3.5 rad/s %3| 1. Use Excel or Matlab to find the largest value of the stiffness, k that makes the transmissibility ratio less than 0.85 2. Using the value of the stiffness obtained in part (1), determine the transmitted force to the base motion system using Matlab or Excel. 3. Display and discuss your results.
6. A ball is thrown straight up in the air at time t = 0. Its height y(t) is given by y(t) = vot - 791² (1) Calculate: (a) The time at which the ball hits the ground. First, make an estimate using a scaling analysis (the inputs are g and vo and the output is the time of landing. Think about their units and how you might construct the output using the inputs, just by matching units). Solve the problem exactly. Verify that the scaling analysis gives you (almost) the correct answer. (b) The times at which the ball reaches the height v/(4g). Use the quadratic formula. (c) The times at which the ball reaches the height v/(2g). You should find that both solutions are identical. What does this indicate physically? (d) The times at which the ball reaches the height v/g. What is the physical interpretation of your solutions? (e) Does your scaling analysis provide any insight into the answers for questions (a-e)? Discuss. (Hint: Observe how your answers depend on g and vo).
The velocity, v, of a falling parachutist is given by v= (1-em), 8. -(c/m)t C where g = 9.8067 m/s². Given the mass, m of the parachutist is 70kg, velocity, v = 40 m/s at time t = 10 s, find the drag coefficient, c by using the Bisection method.
Solve this whole problem and include the interpolation of the same table.
answer for no 6 and 7
The figure shows a plot of potential energy U versus position x of a 0.270 kg particle that can travel only along an x axis under the Influence of a conservative force. The graph has these values: UA9.00 ). Uc 20.0 J and Ug 24.0J. The particle is released at the point where Uforms a "potential hill" of "height" Ua 12.0J. with kinetic energy 7.50 J.What is the speed of the particle at la) -3.50m and (b)x - 6.50 m? What is the position of the turning paint on (c) the right side and (d) the left side?
The mass and stiffness matrix of the system is given by: M = and m2 k, +k, -k, K = -k, k, +k, Take m1 =10 kg, m2-5 kg, k1=k3=100 N/m, k2=84 N/m Use modal analysis and determi ne: a) The normalized stiffness ki b) Its eigenvalues and eigenvectors

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