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ryan craig

ryan c.

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Toward the end of a game of Scrabble, you hold five tiles with the letters A, E, P, R, and S. In how many ways can you arrange these five letters (whether or not they form actual words)?

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3. Convert the following NFA into an equivalent DFA: a,b a q2 a q0 a q1

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Given circuit with the following phase current, $\mathbf{I}_p = \begin{bmatrix} I_a \ I_b \ I_c \end{bmatrix} = \begin{bmatrix} 100\angle 10^\circ \ 0 \ 100\angle 190^\circ \end{bmatrix} A$ Determine sequence currents (Hints: Compute $I_{a0}$, $I_{a1}$, and $I_{a2}$)

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6 The equation \cot{\frac{1}{2}x} = 3x has one root in the interval $0 < x < \pi$, denoted by $\alpha$. (a) Show by calculation that $\alpha$ lies between 0.5 and 1. (b) Show that, if a sequence of positive values given by the iterative formula $x_{n+1} = \frac{1}{3}(x_n + 4 \tan^{-1}(\frac{1}{3x_n}))$ converges, then it converges to $\alpha$.

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which of the following is responsible for repairing errors that occur during replication

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Hormone: Growth Hormone Secreted by what tissue/gland? _____________________________________ What is the stimulus to release the hormone? _________________________ _______________________________________________________________ What is the target tissue? __________________________________________ Effect on target tissue? ____________________________________________ _

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Find the average velocity of the function over the given interval.\ y = 5x^3 + 7x^2 + 3, [-6, 7]\ A. 222\ B. \frac{2061}{7}\ C. \frac{2886}{7}\ D. \frac{2061}{13}

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WHICH INVESTMENT IS BEST? You have your date of birth (DDMMYY) as the amount of money that can be invested in a Term Deposit in a bank for 3 years. I have $270,405 to invest: There are 4 option available: Option 1: This account earns 4.02% p.a. interest compounded quarterly Option 2: This account earns 4% p.a. interest compounded monthly Option 3: This account earns 3.99% p.a. interest compounded weekly (assume 52 weeks in a year) Option 4: This account earns 3.99% p.a. interest compounded daily (assume that there are 365 days in a year) Calculate the principal on each investment at the end of the 3rd year and rank each of the four options from Highest to Lowest return (the amount of money at the end of the 3 years).

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What is the volume in ml of a 0.28 M KOH solution that contains 7.35g of KOH?

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Q7. Identify the following pairs of compounds as either diastereomers (D), enantiomers (E) or same (S). You may put the appropriate letter in the box. CH$_3$ OH Cl Br i. ii. H- H- F Cl C Br Br OH BrH CH$_3$ H Cl CH$_2$Cl OH H OH H H H CH$_3$ iii. iv. CH$_2$Cl H$_3$C F Cl Ph H Ph CH$_3$ H CH$_3$ V. CH$_3$ HOH H$_3$COH CH$_2$OH CH$_2$OH HO-CH$_3$ CH$_3$ HOH CHO vi. CH$_2$OH HNH$_2$ HNH$_2$ HOH CHO CH$_2$OH [6 marks]

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