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Suppose that, for a typical carboxyl-containing compound, the $pK_a$ is approximately 3. Suppose HOOC-(CH$_2$)$_2$-COOH, HOOC-(CH$_2$)$_4$-COOH, and CH$_3$-(CH$_2$)$_4$-COOH are added to water at pH 7. What is the net charge of HOOC-(CH$_2$)$_2$-COOH in the solution? 0 -1 -2

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Ultraviolet light is responsible for sun tanning. Find the wavelength (in nm) of an ultraviolet photon whose energy is 3.6×10-19 J.

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In which situation would you expect to see the greatest diffraction?

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37. Total revenue a. always increases as price increases. b. increases as price increases, as long as demand is elastic. c. decreases as price increases, as long as demand is inelastic. remains unchanged as price increases when demand is unit elastic (1 Point)

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The speed of a logic structure depends on the largest number of logic gates through which any of the inputs must propagate to reach an output. Assuming that a NOT, an AND, and an OR all count as one gate delay, what is the propagation delay of each of the following: (a) two-input mux A B C (b) 1-bit full adder A B C (c) 3-bit adder (where each box below is a full adder from part (b)) A2 B2 A1 B1 A0 B0 C3 C2 C1 S2 S1 S0 (d) 16-bit adder (extending the 3-bit adder) 0 $C_{out}$ $S_1$

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1. The switch has been in its starting position for a long time before moving at t = 0. Find $v(t)$, $i_1(t)$, and $i_2(t)$ for $t \ge 0^+$.

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Connect a 5 V source across the terminals of the network shown below. Find the current source through the 5 volt. 3 ? 3 ? 30 ? 12 ? 24 ? 7? 4?

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2.20 Here's a problem to test your understanding of bandpass sampling. Think about the continuous (analog) signal $x(t)$ that has the spectral magnitude shown in Figure P2-20. Figure P2-20 +\\ $-f_c$ 0 $f_c$ Freq $|X(f)|$ $B$ (a) What is the minimum $f_c$ center frequency, in terms of $x(t)$'s bandwidth $B$, that enables bandpass sampling of $x(t)$? Show your work. (b) Given your results in Part (a) above, determine if it is possible to perform bandpass sampling of the full spectrum of the commercial AM (amplitude modulation) broadcast radio band in North America. Explain your solution.

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Assignment: Why commitment to continuous improvement is important? explain by example.

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2) a) Find $y_a$ for the two-port network of Fig. a (2 points) b) Find $y_b$ for the two-port network of Fig. b (2 points). c) If these two-port networks are connected in parallel, find the $Z$ parameters for the paralleled network. (2 points)

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james m.