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Write the sum using sigma notation 3 5 7 ... 21

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Find each quotient. 0.8 \overline{)11.04} 1.4 \overline{)5.04} 2.8 \overline{)8.96} 4.5 \overline{)7.56} 0.7 \overline{)51.94} 0.61 \overline{)89.06} 0.92 \overline{)4.876} 8.4 \overline{)5.334} 0.35 \overline{)25.55} 0.49 \overline{)41.209} 6.6 \overline{)716.1} 0.53 \overline{)219.42} 5.7 \overline{)1.995} 0.99 \overline{)814.77} 4.5 \overline{)184.86}

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21) You discover a new vertebrate that uses its skull like a battering ram to knock over termite mounds. What set of adaptations would you expect it to have? a) A thickened dermatocranium b) Increased osteoblast concentrations in the anterior intramembranous ossification centers c) Greater migration of neural crest cells to the anterior end of the developing embryo d) Positive allometry of the axis and atlas e) Answers a) through d) are all correct

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(i) Define radius of convergence and interval of convergence hence find the radius and interval of convergence of the following series: (i) $\sum_{k=0}^{\infty} k!x^k$ (ii) $\sum_{k=10}^{\infty} ( -1)^k \frac{x^k}{k}$ (iii) $\sum_{k=0}^{\infty} 2k^2 (x - 1)^k$

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roadcasting the 2024 Summer Olympics From Paris (25 points). NBS has paid for the rights to broadcast the Summer Olympics in 2024 from Paris. They plan an unprecedented amount of live television and live streaming coverage of the various sporting events. Due to the high amount of bandwidth that will be required to transmit the coverage of the games back to their home studios, they need to upgrade their computer network.

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Identify the single greatest risk factor for hyperthyroid disease in this patient.

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Q1-(20) A winding (coil) with turns number of N is rotating in a magnetic field around the axis of Y1-Y2 between two poles of N and S with angular velocity of $w$ rad/sec. The flux density between the poles is 2 T and the height and width of the coil are $a$ and $b$, respectively. a- Derive an expression for the voltage induced across terminals of the rotating winding in terms of $a$, $b$, $B$ and $w$ (voltage induced between M and N). (15) b- Calculate the rms value of the induced voltage. (5)

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Use the accompanying figure to write each vector listed as a linear combination of u and v. Vectors b, x, y, and z Write b as a linear combination of u and v. b= \boxed{}u + \boxed{}v (Type integers or decimals.)

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QUESTION 6 In a monopoly, the market demand curve is nonexistent. the summation of all the individual firm's cost curves. the marginal cost curve above minimum average variable cost. the same as the demand curve facing the firm.

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Electromagnetic radiation is emitted when an electric discharge is applied to hydrogen gas. Four spectral series are observed in the three electromagnetic regions, UV, visible and IR. For Brackett series where the electron is exited from $n_1$=4, answer the following questions: 1- [10 points] Calculate the wavelengths of the second line in the Brackett series in nanometers. 2- [10 points] Calculate the corresponding energy for this line in Joules. 3- [5 points) In which region is this series (UV, Vis, or IR)? 4- [5 points] Do you expect the energy of this line to be larger or smaller than the second line of the Balmer series? Justify your answer?

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richard p.