y" 3y 18y = sin(8) = y(0) 3, y'(0) = -1 Using Y for the Laplace transform of y(t), i.e., Y = L{y(t)}, find the equation you get by taking the Laplace transform of the differential equation and solve for Y(s) =
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- O J. nm 1 O J. m-1 OJ-I.nm Evaluate Correct! 4) Other Linearization Choices 0/2 points When using x =1/A, the meaning of the slope is hc. There is more than one way to make this data linear, though. For example, instead of choosing x 1/A, you could also choose x = c/A. What would the slope mean in this case? Note that in reality, your choices of variables may be limited by the goals of your experiment, the data available, and the model to which you are fitting your data. Evaluate Incorrect: You're looking for an algebraic representation. If this question had asked the meaning of the slope when y = E and a = 1/A, you would have answered hc. 5) Planck's constant 16 point Other than aesthetics, why would it be useful to fit data with a straight line? Real data is noisy. Often with noisy data, the trend will be more accurate than using a single point. c auantired a crucial understanding in the dexelonment of guantum mechanics. The equation isB–3. An important continuous distribution is the exponential distribution p(x)dx = ce 0 a.The density of the distribution of the speed of motion of a molecule along the positive X axis has the form p(s) = 4*squreroot(a3/pi)*s2exp(-as2) (The constant a is determined by the temperature of the gas and the mass of the particle observed; a = m/ (2kT), wherek is the Boltzmann constant)• Find the mean distance traversed by the molecule in a unit of time.• Find the mean value of the kinetic energy of the molecule.
- From the Gaussian (normal) error curve, what is the probability that a result from a population lies between 0 and +1 σ of the mean? What is the probability of a result occurring that is between +1 σ and +2σ of the mean?3D16283.34693 16.3 mapbe -> 2. The volume of a cylinder is calculated as V= r?h where nr2 is the area of the circle. If a gallon of kerosene were spilled on a still lake and the height of the slick is, 1.386 nm, what would be the area in m? of the oil slick on the surface of the pond? 1 gal = 3.8 L; 1 nm = 1 x 10-9 m; 0.81 kg = 1 L; 1 kg = 2.206 Ibs; %3D %3D %3D %3D 1000 cm3 = 1.0 liter %3D 1.386nm |1X10-m Inm Aluminum has a density of 2.70 g/cm3. What would the volume be in in3 of a piece of alConsider a gas in a cubical container 22 cm on a side. How many states lie within ±0.01% of the momentum magnitude p=1.6×10−23 kg⋅m/sp=1.6×10−23 kg⋅m/s (a plausible momentum for a nitrogen molecule in a gas at room temperature)? The number of states that lie within ±0.01% of the momentum magnitude p=1.6×10−23 kg⋅m/sp=1.6×10−23 kg⋅m/s is ______× 1025.
- During this experiment, it is necessary to solve for P2 in the Clausius-Clapeyron equation: ln(P2/P1) = ( delta H/R)[(1/T2)-(1/T1)]. Since the right hand side of the equation is able to be determined as a real number (we'll call "z"), the exercise becomes an algebraic problem of this form: ln(a/b) = z Screen reader note: ln left parenthesis a over b right parenthesis = z. End of note Which formula allows for you to solve for the quantity "a"? HINT: See http://www.sosmath.com/algebra/logs/log4/log47/log47.html for a review of solving logarithmic equations. Question options: a = 10(z b) or a = 10 to the power of z times b in parentheses a = ez/b or a = e to the power of z all over b a = 10z/b or a = 10 to the power of z all over b a = e(z b) or a = e to the power of z times b in parentheses a = b10z or a = b times 10 to the power of z a = 10(z/b) a = 10 to the power of z over b in…Which of the following compounds has the shortest Xmax? O II OI ||| CONV III IVA solution curve y = y(x) of dy dx 2x² - 3y2 passes through (2,3). At this point the function y = y(x)
- You have the following data points which belong to a function of the form y = ae, where b can be positive or negative. ม 13.7 29.6 34.6 x 2.00 4.00 5.00 You wish to determine the value of the constant, b, and to do so you will construct a linear plot. What will you plot against what? y-axis label: x-axis label: From the values of x and y in the table above, calculate the values of the three corresponding data points. Click on the graph below, and use the "Freeform Curves" tool to plot the data. Line segments will automatically connect the points. Enter Solution. What is the numerical value of the constant, b?For a regular cuboid particle of dimensions 1.00 x 2.00 x 4.00 mm, calculate the ff diameters: (a) the equivalent volume sphere diameter; (b) the equivalent surface sphere diameter; (c) the surface-volume diameter (the diameter of a sphere having the same external surface to volume ratio as the particle)11 of 11 I Review | Constants Periodic Table Suppose that you want to construct a line with slope m = 3 that passes through the point (2, 1). You would begin by setting up the equation y = 3x +b If you plug in the coordinates for any point on that line, the two sides of the equation will be equal. Once you've done this, you can solve for b. What is the value of b? Express your answer as an integer. > View Available Hint(s) 8:59 PM 41% 67°F x口ツ 8/31/2021