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eric lobo

eric l.

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hw10: Problem 1 (1 point) Let $a_0, a_1, a_2, \dots$ be the sequence defined by $a_0 = 5, a_1 = 16$, and for $n \geq 2$, $a_n = 7a_{n-1} - 10a_{n-2}$. Then a general formula for $a_n$ is $a_n = x \cdot y^n + z \cdot w^n$, $(y < w)$ where $x=\Box, y=\Box, z=\Box, w=\Box$. A solution to this problem will be available after the due date.

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New measurements indicate that we live in a universe that is _____. Group of answer choices expanding at a constant rate oscillating at a constant rate expanding and accelerating expanding but beginning to slow

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The Solubility Product Constant for lead chromate is 1.8 x 10^-14. The molar solubility of lead chromate in a 0.134 M potassium chromate solution is M.

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12 0.8 points Which of the following is not a rating agency for bonds? eBook Multiple Choice Moody's Investors Service Standard & Poor's Corporation Fitch Ratings Bond Rating Corporation

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25. Differentiate the following functions y = \ln|\sec x|, y = \sqrt{\frac{x - 1}{x^4 + 1}}, y = (\cos x)^x, y = \frac{e^{-x} \cos^2 x}{x^2 + x + 1}

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Manifested in the ‘rediscovery’ and revaluation of native cultures and traditions, as well as the use of Indian themes in literature and the visual arts, belong to the broad current of _____________

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wo identical, three-phase synchronous generators, each rated at 1000kVA, 380V, 50Hz, are connected in parallel to supply the connected loads, as shown in the figure. The prime movers of the two generators have same speeds at no load. When the field currents of the both generators are equal, Gen. 1 frequency drops uniformly from 50 Hz to 48 Hz on full load, at PF=0.7 lagging, while Gen.2 frequency drops uniformly from 50 Hz to 47.5 Hz on full load at unity PF. Determine the following: 1. What is the operating frequency of the two generators? 2. How will the two generators (Gen.1 & Gen.2) share a load of 3000kW at unity power factor? 3. How the field current of Gen. 1 and Gen. 2 must be adjusted (decrease/increase) such that the synchro generators to operate at the same power factor of the load connected in part 2?

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A 20.6 g sample of magnesium reacts with excess silver nitrate to produce silver metal and magnesium nitrate. The reaction is stopped before all of the magnesium metal has reacted. A total of 63.9 g of solid metal is present. Calculate the mass of each metal in the 63.9 g mixture. mass of magnesium: mass of silver: g g

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Find the general solution of the Cauchy-Euler equation: d²y dx² x² + 7x dy dx + 5y = 4x³

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One end A of an elastic string was attached to a horizontal bar and a mass m grams was below A. The length AB, 1mm, was recorded for various masses as follows: 300 400 500 600 256 278 285 301 228 236 Part of the output from fitting the simple linear regression for predicting the length l from mass m is shown below: Coefficients: Estimate Std. Error t value 11.8.32e-07 (Intercept) 210.60000 m 0.15257 4.06706 0.01044 51.78 14.61 0.000128 Signif.codes: 0*** 0.001** 0.01* 0.05 0.11 Residual standard error: 4.369 on 4 degrees of freedom Multiple R-squared: 0.9816, Adjusted R-squared: 0.977 F-statistic: 213.4 on 1 and 4 DF, p-value: 0.0001277 (a) Write down the least squares line of regression of l on m. (2 marks) (b) What is the expected length AB for a mass of 290 grams? (2 marks) (c) Interpret the estimated slope of the fitted model. (2 marks) (d) Is there a significant linear relationship between length l and mass m? Provide a null hypothesis, a test statistic, p-value, and conclusion. (4 marks) (e) How would you comment on whether this model fits the data based on the R results given above? (2 marks) (f) Suppose now you are given more observations and your dataset "Elastic String" has 200 observations in total. Write down your R code to: i. build a linear regression model, and (3 marks) ii. estimate the testing mean squared error. (5 marks)

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