Lab 1 - Monte Carlo Methods - Volume of the Library

Only apply error propagation to determine the error propagation to determine the associated uncertainty … Plz

WMLE=arg min log(1+e wx.) Discussion topic: • Explain why the loss is convex. (Take a look at the second derivative) • What function does the loss approximate as w x becomes large? Explain why the loss is convex. What happens when wax becomes larger. what happens when wTx becomes larger

Q3: Consider evaluation of different temperatures of solar photovoltaic/thermal system (PVT) as shown in Figure 1(a). The following set of differential equations represent energy balance equations to be solve using matrices and eigenvalues using MATLAB (or Octave): dTglass = -0.75Tolass + 0.75TpvtT dt (1) dTpyT = - dt 1.18Tglass – 22TPVT + 23Twax (2) dTwax = 127glass + 18Tpyt – 19 Twax dt (3) Where, Tatass, Tpyr, and Twax, are temperatures illustrated in Figure 1(b). At time t=0 the initial conditions are Tatass = 35 , TpyT = 33, and Twax = 31 °C. Call seppty Ia tree water Tank Glass PVT Expu Nane PCMPVT Callector Tub Tepe Sterg Tak e Ma Nanou Hest Eschanger Container Teket vae Pump for draie (a) (b) Figure 1. (a) Schematic diagram of the nano-PCM and nanofluid PVT system, (b) mathematical model in context of the PVT collector: glass, PV, wax layer and tube coil, respectively [1].

Generalizing the Product Rule The Derivative Product Rule gives the formula dv du dr dx (uv) = u- dx for the derivative of the product uv of two differentiable functions of x. a. What is the analogous formula for the derivative of the prod- uct uvw of three differentiable functions of x? b. What is the formula for the derivative of the product uj uz uz u4 of four differentiable functions of x? c. What is the formula for the derivative of a product uj Uz uz* Un of a finite number n of differentiable functions of x?

For each of the series below you find two answer fields. In the first answer field enter: (inputs are case sensitive) -inf if the series assumes the limit -∞ R if the series converges to a number R+ if the series converges absolutely to a number +inf if the series assumes the limit +∞ DNE if the series has no limit in real number line R In the second answer field select one of the following tests if it can be used to prove your claim in the first answer field: IT AST Geo RootT RatioT LASN LASE LC ∞ n=1 Check Integral Test for Alternating Series Test for comparison with a geometric series with r < 1. Root Test RatioTest The limit of absolute values of summands does not exist. The limit of absolute values of summands exists but is not 0. Limit comparison with the harmonic series Σ(-1)" tan(2/n) Σ(-1)" (1 – 7)" n=1 because because ∞ k=0 ?

What is the significance of the standard deviation value with to the mean?Explain.

Pls help ASAP. Pls show all work and explain thoroughly on what equation is being used and how you come up with the answer. Also, pls underline or square the final answers.

Pls help ASAP. Pls show all work and explain thoroughly on what equation is being used and how you come up with the answer. Also, pls underline or square the final answers.

Pls help ASAP. Pls show all work and explain thoroughly on what equation is being used and how you come up with the answer. Also, pls underline or square the final answers.

Pls help ASAP. Pls show all work and explain thoroughly on what equation is being used and how you come up with the answer. Also, pls underline or square the final answers.

Pls help ASAP. Pls show all work and explain thoroughly on what equation is being used and how you come up with the answer. Also, pls underline or square the final answers.

Please use the origin (0,0) as the starting point of the graph and 2pi on the x-axis as the point where th graph ends. Find a function of the form y = Asin(x) or y = Acos(x) whose graph matches the function below. 51 37/2 -2 -3 -4 -5+ Give an exact answer using fractions and/or multiples of pi as necessary. y = OType here to search

Please solve this question completely please take your time and show neat and clean solution

Please help ASAP

Friction Be able to calculate, for both kinetic and static friction: a. The frictional force, given the mass and coefficient of friction, including experimental uncertainty. b. The coefficient of friction, given the mass and frictional force, including experimental uncertainty. c. The mass or the normal force, given the friction coefficient and the applied frictional force, including experimental uncertainty. Be able to sketch a force diagram for a block either at rest or sliding, with friction. Example 1: A block of wood with a mass of 220 g (assumed exact) is sitting on a surface, where the coefficients of static and kinetic friction between the materials are μ = 0.31±0.01, Mk = 0.22 +0.01. What force is required to get the block moving? Quote your answer including an experimental uncertainty. (0.67N ± 0.02N) Once the block is moving, what horizontal force is required to keep the block sliding at constant speed? Quote your answer including an experimental uncertainty. (0.47N ± 0.02N)…

This is the lab and It is not the writing assignment. please help me with this.  I appreciate it. Thank you! please don't reject it!!

If we have stabdard deviations for x and y data and we have mean values for x and y, how can we evaluate the standard deviation of (1-x/y).m ? (m is a constant value).

Please help me with the following and explain making sure the answer is really really correct 100%. I tried all kinds of calculations and it was wrong so I have no idea what's wrong. When I look at similar questions with different numbers it was 0. ... so i guess it has be something similar maybe but pleas make sure your work is correct pls pls ( wrong asnwer--> 1.31g and 1.35e-12)

Write down Newton's 2nd Law for the forces acting on the cylinder. Solve your equation (algebraically) for the buoyant force. The force probe measures the tension in the string. The force probe measures 0.605 N for the Al cylinder and 1.166 N for the Pb cylinder. Use your algebraic expression to calculate the buoyant force. The uncertainty on the measured force is ?B = g?m + ?T, where g is 9.8 m/s2, ?m is the mass uncertainty (as given in the table above), and ?T = 0.001 N is the tension uncertainty from the force probe.FB on Al cylinder:  ____±_____  FB on Pb cylinder:  _____±____

A. Can we use statistical tools to quantify uncertainties? Explain. B. Which will give you a more accurate measurement, a ruler or a meter stick? Explain. C. Any measurement has an inherent uncertainty so that when you use it in calculation/s uncertainties will propagate to the result of your calculation/s. Do you agree? Explain your answer.

The fifth-order partial derivative

Part B: Error propagation Consider that you measured an angle 0 to be 40 degrees. The uncertainty of your measurement is + 1 degree. Using the rules for error propagations, determine the uncertainty of sin(0). Clearly show your work. Hint: The uncertainty of any function of a single variable, z = f(x), is the derivative of the function calculated at that point multiplied by the uncertainty of the variable. A(z) df Ax dx

Please don't provide handwritten solution ...

Consider a thin hoop of mass (1.420 ± 0.001) kg and radius  (0.250 ± 0.002) m. The moment of inertia for a thin hoop rotating about an axis going through its center is MR2 . Calculate the moment of inertia of this hoop and its uncertainty using error propagation rules (see Appendix). Clearly show work.  Please solve the uncertainty using the appendix I attached

Physics Solve the problem ALGEBRAICALLY. Read the problem carefully. Using pencil on paper, derive the solution(s) ALGEBRAICALLY from first principles. Show all mathematical steps. USE VARIABLES, NO NUMBERS, USE VARIABLES. For example, use: m, t, v, a, L, W, H, AW, and Ao for mass, time, velocity, acceleration, dimensions, atomic wt, density, Avogadro's, respectively. 0 0 0 0 0 0 pre 0 nn 0.2 S 0.4 time (s) 0.6 0.8 10P A small mass moves along a straight line such that its position as a function of time is: s=At^b -Ct^d where A = 5, b=4, C=7, d = 5 and where s is in meters and t is in seconds. Determine the acceleration in m/s/s at the instant the velocity is zero. Refer PPT Slide 2-8 Express algebraic solution in terms of A, b, c, d and t. A 5 b 4 с 7 d 5 acc PALA

Please answer within 90 minutes.

Use the first equation attached below. To calculate the initial ball velocity vi with error found by propagating uncertainty in θ.  For error propgating use the following the equation to calculate the uncertainty in cos (θ), necessary for calculation using the derived expression. Note that the uncertainty comes from the 2/3 method.                                        δcos (θ) = | cos (θ + δθ) -2cos (θ - δθ) | Mass of ball 66.0 g 0.1 g Mass of pendulum 245.0 g 0.1 g         Theoretical velocity 4.19 +/- 0.02 m/s         Trial Final angle   1 28.00 degrees   2 28.00 degrees   3 28.10 degrees   4 28.00 degrees   5 28.10 degrees   6 27.90 degrees

Suppose that the length of an object is measured multiple times.  Assuming that random errors are the only source of error,  a. Does increasing the number of measurements change the standard deviation for the set?  Explain

Just before 1=1 k x=0 x=x; k v m x=0 x=x; |5|=0 m