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joseph lucero

joseph l.

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Evaluate the indefinite integral. $$ \int x^5 \sqrt{12 + x^6} dx $$ $$ + C $$

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Given that lim x→2 f(x) = 4 and lim x→2 g(x) = −4 find each limit, if it exists. (If an answer does not exist, enter DNE.) lim x→2 [g(x)]3

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An analytical chemist is titrating 72.7 mL of a 0.7000M solution of propionic acid ($HC_2H_5CO_2$) with a 0.9000M solution of NaOH. The $pK_a$ of propionic acid is 4.89. Calculate the pH of the acid solution after the chemist has added 18.7 mL of the NaOH solution to it. Note for advanced students: you may assume the final volume equals the initial volume of the solution plus the volume of NaOH solution added. Round your answer to 2 decimal places. $pH = \boxed{ }$

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List the three types of muscle tissue, noting their location in the body, control, contraction response characteristics, and fatigue factor. For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS Paragraph Open Sans,ari... 10pt ? !!! < A > <

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Buffer systems rely on ______ reactions to help maintain homeostasis. Select one: a. reversible b. hydrophobic c. equilibrium d. van der Waals

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In a body-centered cubic unit cell, the atoms usually touch along the diagonal from one corner through the center of the cell to the opposite corner. Chromium forms a body-centered cubic lattice in which the edge length of the unit cell is 288 pm. Calculate the density of chromium metal.

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2. If you throw a ball vertically down from the height 75.4 cm, with the same speed of your theoretical $v_1 = 3.84$ cm what will be the velocity, $v_2$ of the ball hitting the floor? Answer in m/s with 3 significant figures. $g = 9.81 m/s^2$. 3. How long will the ball take to reach the floor for the thrown above?

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The energy involved in changing the temperature of 2.50 kg of water from 22.50 °C to 45.95 °C is __________ kJ.

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4. (Problem 7.8 of Mohan's text). The motor in question 1 is to be started from rest. This motor is driving a load of inertia $J_L = 0.04 kg \cdot m^2$, and a load torque $T_L = 2 Nm$. The motor current must not exceed 15 A. Calculate and plot both the voltage $v_a$, which must be applied to bring this motor to a steady-state speed of 300 rad/s as quickly as possible, and the speed, as functions of time. Neglect the effect of $L_a$.

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1. (10 pts) Calculate the magnitude and phase of \begin{equation} G(s) = \frac{1}{s + 10} \end{equation}by hand for $\omega = 1,5,10,50$ and $100$ rad/sec.

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