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A 5.0 μF capacitor is fully charged by a 12 V battery and then disconnected from the battery. The capacitor is then connected in parallel to an unknown capacitor that is initially uncharged. After reaching equilibrium, it is found that the potential difference across this unkonwn capacitor is 3.0 V. What is the capacitance of the unknown capacitor?

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describe 1 reason why reading fluency is so important for readers.

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Simplify the expression. Write the final form with no fractions. \frac{8 \csc \theta - 8 \sin \theta}{\csc \theta} =

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Price controls are a form of censorship because a. they lead to surpluses when the price is fixed below the market equilibrium. b. they prevent prices from communicating information to buyers and sellers. c. they prevent newspapers from running advertising about the availability of goods and services. d. they benefit consumers by reducing the scarcity of the items on which the price controls are imposed.

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Find $\frac{dy}{dx}$ by implicit differentiation. $x^2y^2 + x \sin y = 6$ $\frac{dy}{dx} = $

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(37 points - 1 each line) The adjusted trial balance for Rodgers Corp. at July 31, 2014. No stock was issued during the year. Salaries and wages payable $ 2,980 Notes payable (long-term) $ 3,000 Salaries and wages expense 45,700 Cash 5,200 Utilities expense 21,100 Accounts receivable 9,780 Equipment 38,000 Accumulated depreciation 6,000 Common Stock 10,000 Accounts payable 4,100 Dividends Paid 4,000 Service revenue 57,200 Depreciation expense 4,000 Rent revenue 6,500 Retained Earnings 38,000 (beginning of the year) Instructions (a) Prepare the income statement for the year. (11 points) (b) Prepare the retained earnings statement for the year. (5 points) (b) Prepare a classified balance sheet at July 31. (21 points)

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Question 4 (6 Marks) An FM modulator uses a carrier $v_c(t) = A \times cos(2\pi f_c t)$ and the modulating signal, $v_m(t) = B \times cos(2\pi f_m t)$. The associated frequency deviation is $f_d$ Hz/volt. Hence, determine the following: (i) FM modulation index, $m_f$ (ii) Approximate power in the spectral components of FM waveform, relative to total RF power (iii) If the system uses phase modulation instead of FM, what is the value of $m_p$ to yield the modulation index of (i) (iv) Suppose, the FM transmission is noisy with Signal-to-Noise (power) ratio of X dB, what is the Hartley-Shannon channel-capacity (in bps) of the transmission (v) Suppose the carrier is full-wave amplitude modulated (instead of FM), what is the Hartley-Shannon channel-capacity (in bps) of the transmission for the same SNR of (iv) Assume the values in the Data Table as listed in Canvas-Quiz Data Table $f_c$ in Hz $f_m$ in Hz A mV B mV $f_d$ Hz/mV SNR(X) dB 5 9 11 3 2 4 Choose the Correct Choice of Answers in Table Q.4 and Post It on Canvas-Quiz Section.

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a. What is the potential change of a particle moving from $\vec{x}_1 = [1, 0, 0]$ to $\vec{x}_2 = [\frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2}, 0]$ in an E field described with $E(x, y, z) = \frac{q}{x^2 + y^2 + 2z^2}$? What about from $\vec{x}_1 = [1, 0, 0]$ to $\vec{x}_2 = [1, 1, 0]$? b. If the particle getting moved itself has a charge of 2 C, how much work was done in each case?

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2. Write the steps to find PO side. (Communication Question MM:3) P 39.7° 50.3° R 50 m Q 40 m S

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An enhancement NMOS transistor is connected in the bias circuit of Fis52 (cl. with I = 4V and R = 1 kÎ©). What is the current result? If a transistor for which k(W/) is 50 higher is used, what is the resulting percentage increase in I?

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