Numerade

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6. Which of the following are true about np.linalg.solve? A. It is faster computationally than solving for and multiplying by the matrix inverse B. It uses Cramer's Rule to solve the system C. It is slower computationally than solving for and multiplying by the matrix inverse, but it is more numerically accurate. D. It uses a process similar to Gaussian Elimination E. It is more numerically accurate than solving for the matrix inverse.

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If a diabetes mellitus patient always has high blood glucose, what is likely to happen to the nervo With too much glucose present, the blood-brain barrier cells may remove glucose transpo With too much glucose present, glucose transporters are affected where glucose is unabl With too much glucose present, the blood-brain barrier cells may remove glucose transp With too much glucose present, glucose transporters are affected so glucose is over tran None of the above

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14 Nine chickens, two dogs, and three cats have a total of forty legs. True False 15 Sixteen hours are to one day as twenty days are to June's length. True False 16 In the English alphabet, there are exactly four letters between the letter "M" and the letter "G." True False

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Calculate the enthalpy change, \Delta H∘ , for the "expansion" of methane: CH4(g)->C(g)+4H(g)

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Let $u(x, t)$ be a bounded solution of the Cauchy problem $u_t = u_{xx}$ in $\mathbb{R} \times \mathbb{R}^+$, $u|_{t=0} = \varphi(x)$ $x \in \mathbb{R}$. 1. Assume $\varphi$ is an $L$-periodic function. Show that $\lim_{t \to \infty} u(x, t) = \varphi_0$, where $\varphi_0 = \frac{1}{L} \int_0^L \varphi(x) dx$ is the zeroth Fourier coefficient of function $\varphi$. 2. Let $\varphi(x) = \text{arcctg}(x)$. Find $\lim_{t \to \infty} u(x, t)$. 3. Let $\varphi(x) = e^{-x^2}$. Find $\lim_{t \to \infty} \int_0^\infty u(x, t) dx$.

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A partnership will be ruled by the uniform partnership act, if

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Two point charges are located on the y axis as follows: charge $q_1 = -1.30 \text{ nC}$ at $y_1 = -0.600 \text{ m}$, and charge $q_2 = 4.40 \text{ nC}$ at the origin ($y = 0$). For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of Adding forces. Part A What is the magnitude of the net force exerted by these two charges on a third charge $q_3 = 5.00 \text{ nC}$ located at $y_3 = -0.300 \text{ m}$? Express your answer in newtons. $F_{net} = \text{ N}$ Submit Request Answer Part B What is the direction of the net force? The net force is in $+ y$ direction. The net force is in $- y$ direction. The net force is in $+ x$ direction. The net force is in $- x$ direction. Submit Request Answer

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23. Find the total value TV of the given income stream and also find its future value FV (at the end of the given interval) using the given interest rate. (Round your answers to the nearest cent.) R(t) = 20,000e^0.04t, 0 ≤ t ≤ 3, at 14% 24. Find the total value TV of the given income stream and also find its present value PV (at the beginning of the given interval) using the given interest rate. (Round your answers to the nearest cent.) R(t)= 53,000, 0 ≤ t ≤ 12, at 6% 25. [2/4 Points] DETAILS PREVIOUS ANSWERS PREVIOUS ANSWERS ASK YOUR TEACHER Show My Work (Optional)? equilibrium tuition price p = $4160 consumers' surplus CS PS = producers' surplus total social gain WANEFMAC8 14.4.032. A study of a country's colleges and universities resulted in the demand equation q = 20,000 - 2p, where q is the enrollment at a public college or university and p is the average annual tuition (plus fees) it charges. Officials at Enormous State University have developed a policy whereby the number of students it will accept per year at a tuition level of p dollars is given by q = 9,600 + 0.5p. Find the equilibrium tuition price p and the consumers' and producers' surpluses at this tuition level. What is the total social gain at the equilibrium price? [Hint: See Example 3.] $34105600 $44262400 X $78368000 X WANEFMAC8 14.4.037.

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(a) The signal m(t) given below is sampled to be transmitted over a digital communication channel. How many samples are necessary per second in order to avoid loss of information? This sampling rate (where we do not get any loss of information) has been named after a scientist; name that scientist. $m(t) = 5 + 4 \sin(2\pi 10000t) + 3 \cos(2\pi 25000t)$ (b) A bandlimited signal has a bandwidth equal to 3400 Hz. What sampling rate should be used to guarantee a guard band of 1200 Hz? (c) What is the resulting SQNR in dB for a signal uniformly distributed, when uniform PCM with 256 levels is employed?

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Question 4 (20 points) Let's assume the following closed-loop feedback control system. R(s) + S S + 1 --- S C(s) 1 --- S S Figure 4: Block diagram of the closed-loop feedback control system 4a (10 points) Compute the transfer function $G(s) = \frac{C(s)}{R(s)}$ 4b (10 points) Design the signal flow graph of the block-diagram shown in Figure 4. Compute the transfer function $G(s) = \frac{C(s)}{R(s)}$ using the Mason's rule and compare the results with the results found in 4a question.

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