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CS 421 - Algorithms Recurrence Functions 4. (5 points) Extra Credit. Given the following recurrence relation for computing exponentials: $$T(n) = \begin{cases} 2T(n-1) + 1, & n > 0 \\ 0, & n = 0 \end{cases}$$ determine an upper bound on its run-time efficiency using the Recursion-Tree method.

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Pour chacune des surfaces planes, calculez son aire exacte (réponse fractionnaire). (Conseil: Il peut être très utile de faire une représentation graphique, bien qu'aucun point ne soit accordé pour celle-ci.) a) La surface composée de toutes les surfaces bornées par la courbe $y = x^3 - 1$, l'axe des x, l'axe des y et la droite $x = 2$. b) La surface bornée par la courbe $y = \sqrt{2x}$, l'axe des x et la droite $5y = 4x - 12$ à l'aide de rectangles verticaux. c) La surface bornée par la courbe $y = \sqrt{2x}$, l'axe des x et la droite $5y = 4x - 12$ à l'aide de rectangles horizontaux.

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A canal that runs through the core of each ocean is the site of

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Identify changes that occur in the female during puberty. Multiple select question. Inhibition of the pituitary gland Menarche occurs Enlargement of reproductive tract Sex drive development Noticeable deepening of the voice

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Role of Ca+ and ATP in the regulation of muscle force output

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5. Use the table method to find an equation of the tangent line to the parabola $y = x^2$ at the point P(1, 1)

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12. Which of the following expressions gives the number of revolutions a tire with a diameter of $d$ feet will make in a trip $m$ miles long? (Note: 1 mile = 5,280 feet) F. \frac{5,280m}{\pi d} G. \frac{5,280d}{\pi m} H. \frac{5,280}{\pi dm} J. \frac{\pi m}{5,280d} K. \frac{\pi d}{5,280m}

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1.88 m b) 4.35 m c) 5.31 m d) 4.14 m 14. Consider the reaction below and the table reporting data relative to a rate study performed for this reaction at 25 °C. 2 NO(g) + Br$_2$(g) ? 2 NOBr(g) \begin{tabular}{|c|c|c|} \hline [NO] & [Br$_2$] & Time (s) \\ \hline 0.100 & 0.140 & 32 \\ 0.050 & 0.140 & 16 \\ 0.100 & 0.070 & 4 \\ \hline \end{tabular} What is the rate law? a) Rate = k[NO][Br$_2$]$^3$ d) Rate = k[NO]$^2$[Br$_2$]$^2$ b) Rate = k[NO][Br$_2$]$^2$ e) Rate = k[NO]$^2$ c) Rate = k[NO][

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5. (5 points) Phase diagram of a certain substance is shown below: Phase Diagram 200- 180 160 Pressure (kPa) 140 Y 120 X Z 100 80 60 40 20 -200 -150 -100 -50 0 50 100 150 Temperature (°C) (i) (3 points) Label X, Y, and Z on the graph. (ii) What is the boiling point and melting point of this substance at a pressure of 80 kPa?

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Express the following as a function of C(z): D(z) T E(s) G3(s) C(s) G1(s) G2(s) T a\frac{\overline{G_3} \overline{D(z)} E(z)}{} + \frac{\overline{G_1} \overline{G_2} E(z)}{} b \overline{G_3(z)} \overline{D(z)} E(z) + \overline{G_1} \overline{G_2} E(z) c \overline{G_3 \overline{D(z)}} D(z)(E(z) + \overline{G_1} \overline{G_2} )E(z) d \frac{\overline{G_3} \overline{D} E(z)}{} + \overline{G_1} \overline{G_2(z)} E(z) Select one: $\circ$ b $\circ$ d $\circ$ c $\circ$ a

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guillermo p.