Questions asked
Find the radius of convergence, $R$, of the series. $\sum_{n=0}^{\infty} \frac{(x-6)^n}{n^4+1}$ $R = \text{_____}$ Find the interval, $I$, of convergence of the series. (Enter your answer using interval notation.) $I = \text{_____}$
3): Ball A strikes ball B with an initial velocity of ($\vec{V}_A$)$_1$ as shown. If both balls have the same mass and the collision is perfectly elastic, determine the angle $\theta$ after collision. Ball B is originally at rest. Neglect the size of each ball.
Problem 5. (1 point) Suppose that $f(x) = 4x^2 - 2$. Simplify using the difference quotient $\frac{f(4+h) - f(4)}{h} =$ (answers must be completely simplified)
Make me a regression and descriptive analysis with the following daya and explain the effects to me Table I.Change in Gross Domestic Product by Major Country Percentage change from previous period 2020 2021 Q2 Q3 Q4 QI Q2 Country 2019 2020 QI %66- -4.1% -15.8% 13.2% 4.4% 2.6% Argentina %17 -0.3 -7.0 3.6 3.2 1.9 0.7 Australia -0.3 -2.5 -10.6 11.6 -3.1 -1.1 4.3 Austria 1.4 -6.3 -2.6 611- 11.8 -0.1 1.1 1.7 Belgium 1.8 -6.3 -3.3 -9.0 7.7 3.1 1.2 -0.1 Brazil -2.3 111 1'6 2.2 1.4 -0.3 Canada 1.9 -5.3 -2.0 -12.7 5.4 6.5 3.4 1.0 Chile 0.9 -5.8 61 10.0 2.8 3.0 0.4 1.3 China 6.1 2.3 -8.7 -14.8 9.7 6.2 2.9 -2.4 Colombia 3.3 -6.8 -2.6 -7.8 2.2 2.6 1.4 Costa Rica 2.2 -4.5 -1.2 6.8 0.7 -0.4 10 3.0 -5.8 -3.4 -8.9 Czech R. 6.1 0.9 -0.9 2.3 2.1 -2.1 -0.7 -6.4 Denmark 4.6 0.5 0.1 2.1 1.3 -2.8 -0.5 -6.1 Finland 18.6 -1.1 0.0 1.1 -7.9 -5.7 -13.5 France 1.8 06 0.7 -2.0 1.6 -4.6 -1.8 -10.0 Germany 3.9 3.5 4.5 3.4 1.9 -8.2 -0.4 -13.0 Greece 10.6 1.6 2.0 2.7 -5.0 -0.3 -14.4 Hungary 4.6 21.2 8.6 2.3 -10.2 0.6 -24.5 India 3.1 2.3 0.3 1.3 -2.1 -0.9 -6.4 Indonesia 5.0 9.8 -4.6 8.7 6.3 5.9 2.6 -2.9 Ireland 4.9 8.9 2.4 -0.4 3.9 -2.2 -1.2 -9.2 Israel 3.8
Consider the probability distribution table for pencils sold in a store. Demand Probability 0 .1 1 .2 2 .3 3 .2 4 .2 Compute the probability of selling at most three pencils given that at least one pencil is sold. Important: Use the maximum number of decimals in all your intermediate computations. (Enter your answer to two decimal places. For example, if your answer is "0.53", you would write 0.53). Do not round.
The liquidus of 3 highly diluted iron solutions was measured in the laboratory in which a little of an unknown solute was dissolved. Estimate, from the data collected, the fusion enthalpy of pure iron whose melting point is 1809K. Molar fraction 0.0015 T (liquidus) (K) 1806.5 0.0027 1804.5 0,0035 1803
Find the singular values $\sigma_1 \ge \sigma_2$ of $A = \begin{bmatrix} 1 & 3 \\ 3 & 1 \end{bmatrix}$. $\sigma_1 = 3$ $\sigma_2 = -1$ Find unit vectors $\vec{v}_1$ and $\vec{v}_2$ such that $||A\vec{v}_1|| = \sigma_1$ and $||A\vec{v}_2|| = \sigma_2$. $\vec{v}_1 = \begin{bmatrix} 1 \\ 0 \end{bmatrix}$ $\vec{v}_2 = \begin{bmatrix} 0 \\ 1 \end{bmatrix}$ Note: You can earn partial credit on this problem.
(Compressor - Electrical alternator - Power & Free Turbine) III. The fuel's density unit used in gas turbine power system is: (Btu/lb - MJ/lb - lb/gal - Psi/MPa)
Q1 [6 Marks] * Let X(k) = [1 + j2 -2 + j1 -1 - j2 2 - j1] represents a DFT sequence in the discrete frequency domain. 1) Compute the amplitude, phase, and power spectrum and plot them clearly. 2) Use the decimation-in-time (DIT) (Radix-2 Butterfly 4-points inverse Fast Fourier Transform (IFFT)) to evaluate the discrete-time samples x(n) associated with the above points. 3) Use the direct definition of inverse discrete Fourier transform (IDFT) to evaluate x(n) for n = 3 only, i.e. x(3).
8- What are the disadvantages of UV disinfection method? 9- What are the steps of waste water treatment?
