Homework Answers
1. Because during the previous measurement sphere might get some charge due to combined effect of induction and conduction . So to neutralize and to balence the mass of the sphere we have to charge it.
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1. Why is it important to recharge the spheres before each measurement? 2. Consider the function...
(I) Let's start with very simple data table 1.0 2.0 3.0 4.0 5.0 6.0 -1 ±...
(I) Let's start with very simple data table 1.0 2.0 3.0 4.0 5.0 6.0 -1 ± 1.8 4±2.0 9+ 1.0 14 + 0.8 19 s 0.8 24 + 1.2 2% 1.8 34 ± 2.0 7.0 8.0 9.0 1. Plot a graph of y vs. X on a piece of graph paper 2. Is it a straight line? Draw the best-fit line. 3. Compute the slope and y-intercept for this line. Write the equation for y in terms of x using...
Question 2: Suppose that we wish to fit a regression model for which the true regression...
Question 2: Suppose that we wish to fit a regression model for which the true regression line passes through the origin (0,0). The appropriate model is Y = Bx + €. Assume that we have n pairs of data (x1.yı) ... (Xn,yn). a) From first principle, derive the least square estimate of B. (write the loss function then take first derivative W.r.t coefficient etc) b) Assume that e is normally distributed what is the distribution of Y? Explain your answer...
For each väiue of r, enter the values of a suitable function of r iH the...
For each väiue of r, enter the values of a suitable function of r iH the lasto Check that which you think will result in a linear plot of force versus this new function of r the new plot is indeed linear. ANALYSIS 1. What did you observe about the magnitudes of the forces on the two charges. Were they the same or different? Does your answer depend on whether the charges were of the same magnitude or different? How...
Consider the following function. f(x)=−1−1/7x Step 2 of 2: Plot two points on the line to...
Consider the following function. f(x)=−1−1/7x Step 2 of 2: Plot two points on the line to graph the function. WHAT ARE THE TWO POINTS ON THE GRAPH.
Problem 1. Consider the harmonic function 2 cos 3x 1xs5 Investigate the validity of the numerical...
Problem 1. Consider the harmonic function 2 cos 3x 1xs5 Investigate the validity of the numerical differentiation process by considering two different values for the number of points in the domain: (a) 11, and (b) 101 Plot the exact derivative of function y vs approximate (ie numerically determined) derivative of function y for both cases Qi. What is exact value of " for x=1.6? dx dy for x Q2. What is approximate value of 1.6 when number of points is...
solve all questions simply by using matlab. write all step here please 1Normal 1 No Spac Heading1 Heading 2 DISCUSSION Solve all tasks given below: 1. Consider function f(x) 3.5-0.5x cos(6x) for...
solve all questions simply by using matlab.
write all step here please
1Normal 1 No Spac Heading1 Heading 2 DISCUSSION Solve all tasks given below: 1. Consider function f(x) 3.5-0.5x cos(6x) for the value of x between -2.0 until 4.0. Draw the plot in dash line and in red colour, Label the title and all axes. 2. Consider the following functions for 0sxS pi: x() 10e0.St sin(3t +2) y(t) 7e-04t cos(5t - 3) (a) Draw both graphs on the same...
In this experiment you will drive the string with an oscillator of fixed frequency. The driving...
In this experiment you will drive the string with an oscillator of fixed frequency. The driving frequency cannot be varied to produce different normal-mode standing-wave patterns. Since v = VFT/μ. wherefis a constant. μ is also constant for a given string. By varying FT, appropriate wavelengths can be selected that will "fit" into a given string length, L, to produce standing waves. Pre-lab Assignment Rewrite equation (1) to obtain a form of an equation of a straight line, y =...
Task 2: (1 Mark) - Scripts Write a MATLAB script which plots the absolute error between...
Task 2: (1 Mark) - Scripts Write a MATLAB script which plots the absolute error between your mySqrt() function and the built-in sqrt() function for a variety of N values with: N=1:20 • n=323158 err-le-3. Your plot should clearly show that error decreases until "saturating" somewhere below err. Because the algorithm "converges” (increased in accuracy) very quickly the true accuracy will be several orders of magnitude better than the err value. You should use semilogy () instead of plot() to...
Consider the function -1.0xs0 0cxs2 x: 2 + 2x-x": 2: (x) = (a) Find the Fourier series of the fun...
Consider the function -1.0xs0 0cxs2 x: 2 + 2x-x": 2: (x) = (a) Find the Fourier series of the function(x) (b) Use any graphing software to plot the function ,f(x). (c) Graph the partial sums S (x) for N 1,2,3,5,10,20,50 in ONE graph (d) Analyse your results.
Consider the function -1.0xs0 0cxs2 x: 2 + 2x-x": 2: (x) = (a) Find the Fourier series of the function(x) (b) Use any graphing software to plot the function ,f(x). (c) Graph the...
segments over the length L of the string, where the length of each vibrating segment equals...
segments over the length L of the string, where the length of each vibrating segment equals one-half wavelength. Use this fact to show that the fr of the allowed standing waves on this string are given by fn-nfi, where n 1,2,3, 4,5,... and fi is the fundamental frequency. In other words, derive an expression relating the nth harmonic to the fundamental frequency. Yo may use the fact that the wave velocity is the same for all modes. 1. For a...
(I) Let's start with very simple data table 1.0 2.0 3.0 4.0 5.0 6.0 -1 ± 1.8 4±2.0 9+ 1.0 14 + 0.8 19 s 0.8 24 + 1.2 2% 1.8 34 ± 2.0 7.0 8.0 9.0 1. Plot a graph of y vs. X on a piece of graph paper 2. Is it a straight line? Draw the best-fit line. 3. Compute the slope and y-intercept for this line. Write the equation for y in terms of x using...
Question 2: Suppose that we wish to fit a regression model for which the true regression line passes through the origin (0,0). The appropriate model is Y = Bx + €. Assume that we have n pairs of data (x1.yı) ... (Xn,yn). a) From first principle, derive the least square estimate of B. (write the loss function then take first derivative W.r.t coefficient etc) b) Assume that e is normally distributed what is the distribution of Y? Explain your answer...
For each väiue of r, enter the values of a suitable function of r iH the lasto Check that which you think will result in a linear plot of force versus this new function of r the new plot is indeed linear. ANALYSIS 1. What did you observe about the magnitudes of the forces on the two charges. Were they the same or different? Does your answer depend on whether the charges were of the same magnitude or different? How...
Problem 1. Consider the harmonic function 2 cos 3x 1xs5 Investigate the validity of the numerical differentiation process by considering two different values for the number of points in the domain: (a) 11, and (b) 101 Plot the exact derivative of function y vs approximate (ie numerically determined) derivative of function y for both cases Qi. What is exact value of " for x=1.6? dx dy for x Q2. What is approximate value of 1.6 when number of points is...
solve all questions simply by using matlab.
write all step here please
1Normal 1 No Spac Heading1 Heading 2 DISCUSSION Solve all tasks given below: 1. Consider function f(x) 3.5-0.5x cos(6x) for the value of x between -2.0 until 4.0. Draw the plot in dash line and in red colour, Label the title and all axes. 2. Consider the following functions for 0sxS pi: x() 10e0.St sin(3t +2) y(t) 7e-04t cos(5t - 3) (a) Draw both graphs on the same...
In this experiment you will drive the string with an oscillator of fixed frequency. The driving frequency cannot be varied to produce different normal-mode standing-wave patterns. Since v = VFT/μ. wherefis a constant. μ is also constant for a given string. By varying FT, appropriate wavelengths can be selected that will "fit" into a given string length, L, to produce standing waves. Pre-lab Assignment Rewrite equation (1) to obtain a form of an equation of a straight line, y =...
Task 2: (1 Mark) - Scripts Write a MATLAB script which plots the absolute error between your mySqrt() function and the built-in sqrt() function for a variety of N values with: N=1:20 • n=323158 err-le-3. Your plot should clearly show that error decreases until "saturating" somewhere below err. Because the algorithm "converges” (increased in accuracy) very quickly the true accuracy will be several orders of magnitude better than the err value. You should use semilogy () instead of plot() to...
Consider the function -1.0xs0 0cxs2 x: 2 + 2x-x": 2: (x) = (a) Find the Fourier series of the function(x) (b) Use any graphing software to plot the function ,f(x). (c) Graph the partial sums S (x) for N 1,2,3,5,10,20,50 in ONE graph (d) Analyse your results.
Consider the function -1.0xs0 0cxs2 x: 2 + 2x-x": 2: (x) = (a) Find the Fourier series of the function(x) (b) Use any graphing software to plot the function ,f(x). (c) Graph the...
segments over the length L of the string, where the length of each vibrating segment equals one-half wavelength. Use this fact to show that the fr of the allowed standing waves on this string are given by fn-nfi, where n 1,2,3, 4,5,... and fi is the fundamental frequency. In other words, derive an expression relating the nth harmonic to the fundamental frequency. Yo may use the fact that the wave velocity is the same for all modes. 1. For a...
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