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((9)/(16))/((18)/(12))=

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8. Short Answer Suppose the tangent line to the graph of $f$ at $x = a$ has slope 0. Describe the graph of $f$ near $x = a$.

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A positive point charge +q lies at the centre of a Gaussian surface with rectangular sides. If all the dimensions of the Gaussian surface double, but charge +q remains at its center, the electric flux through the surface will

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Calculate $V_o$ in volts with one decimal point.

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The following five characters A, B, C, D, E form a set of characters to be encoded using the Huffman compression technique. Which of these represents is NOT a possible set of Huffman encodings? Select one: None of the others (insufficient information provided) A = 111, B = 010, C = 011, D = 100, E = 101 A = 10, B = 11, C = 011, D = 010, E = 000 A = 1, B = 001, C = 000, D = 100, E = 001 A = 1, B = 001, C = 0110, D = 0101, E = 0111

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in the long run, the filler of a monopolistically competitive firm to produce enough output to minimize average. Total excess capacity, markup on marginal cost, excess advertising, a loss of Econome cost results in an inefficiency because of:excess capacity, markup on marginal caused, excess advertising, a loss of economic profit

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4.5 Consider a weakly-ionized, quasi-neutral ($n_e = n_i = n$), isothermal ($T_e = T_i = T_o$, constant) plasma in contact with a planar wall at $z = 0$. The wall is maintained at the plasma temperature T and is perfectly catalytic to electron-ion recombination, i.e., $n(0) = 0$. Far from the surface ($z = \infty$), the plasma is uniform and in Saha equilibrium. (a) Using a model based on the balance between electron collisional ionization and its inverse process (appropriate in high pressure thermal plasmas), with the net ionization rate given as: $w = \alpha n n_a - \beta n^3$ where $\alpha$ is the electron impact ionization rate, $\beta$ is the recombination rate coefficient, and $n_a$ is the background gas density, show that the non- dimensionalized plasma density variation near the wall is described by: $\tilde{n} = \tanh \tilde{z}$ Here $\tilde{n} = \frac{n}{n_{eq}}$, $\tilde{z} = \frac{z}{\sqrt{\frac{2D_a}{\beta n_{eq}^2}}}$, and $n_{eq}$ and $D_a$ are the equilibrium number density and ambipolar diffusion coefficients respectively. (b) Plot the non-dimensional plasma density, $\tilde{n}$, and the appropriately non- dimensionalized net ionization rate, $\tilde{w}$ verses position, $\tilde{z}$. Discuss their shapes.

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f'(x) = 35x^6(6-x)^6 - 30x^7(6-x)^5 f'(x) = 5x^5(6-x)^5(35(6-x) - 30x) f'(x) = 5x^5(6-x)^5(210 - 35x - 30x) f'(x) = 5x^5(6-x)^5(210 - 65x) Setting f'(x) = 0 to find critical points: 5x^5(6-x)^5(210 - 65x) = 0 5x^5 = 0 => x = 0 6-x = 0 => x = 6 210 - 65x = 0 => x = 210/65 Classifying the critical points: f''(x) = 5(6-x)^4(5x^4(210-65x) - 5x^5(-65)) f''(0) = 5(6-0)^4(5(0)^4(210-65(0)) - 5(0)^5(-65)) f''(0) = 5(6)^4(0 - 0) f''(0) = 0 f''(6) = 5(6-6)^4(5(6)^4(210-65(6)) - 5(6)^5(-65)) f''(6) = 5(0)^4(5(6)^4(210-390) - 5(6)^5(-65)) f''(6) = 0 f''(210/65) = 5(6-210/65)^4(5(210/65)^4(210-65(210/65)) - 5(210/65)^5(-65)) f''(210/65) = 5(6-210/65)^4(5(210/65)^4(210-210) - 5(210/65)^5(-65)) f''(210/65) = 5(6-210/65)^4(0 - 0) f''(210/65) = 0 Since f''(x) = 0 for all critical points, the classification is inconclusive.

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Take a survey in one of your classes. What percentage of students own smartphones? Gather some data regarding how they use their smartphones for shopping. Do they use a smartphone to compare prices? Do they use a smartphone to read product reviews? For what other shopping-related activities do they use their smartphones?

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Let x = the number of news websites a randomly selected individual visits in a day. The probability distribution of x is given in the following table: X P(x) 0 0.4 1 0.3 2 0.15 3 0.1 4 0.05 Find the expected number of news websites an individual visits per day. A.2 ?.0.9 C. 1.65 D. 1.1 QUESTION 13 Let x = the number of jobs a landscaping contractor gets during a randomly selected month. The probability distribution of x is given in the followin table: X P(x) 0 0.05 1 0.2 2 0.2 3 0.4 4 0.15 Find the probability the contractor get at least two jobs in a month. ?.0.55 B.0.2 C. 0.35 D. 0.75

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