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the Thevenin equivalent circuit with respect to terminals a, b for the following circuit. 12 $\Omega$ 72 V 5 $\Omega$ 8 $\Omega$ 20 $\Omega$

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1. Consider the ODE $u'' + u = F(t) = \begin{cases} 24(t-2) & t \in [2, 2.5) \\ 0 & \text{otherwise} \end{cases}$, $u(0) = 0$, $u'(0) = 0$, (a) Solve the ODE. (b) Now suppose you wish to approximate the forcing function as $F(t) \approx A\delta(t - b)$ for some constants $A$, $b$. Which $A$, $b$ would be reasonable? Explain your choice. (c) Now solve the approximate ODE with your choice of $A$, $b$. (d) Plot your solutions obtained in (a,c), and compare - how are they similar? How are they different? Does this make sense, and why or why not?

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Common symptoms associated with bacterial diseases include (choose all that apply): Group of answer choices bacterial ooze yellow halo wilt bacterial streaming necrosis

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Define the following concepts and give an example to substantiate your answer: 1.6 Education foundations 1.7 Ubuntu philosophy 1.8 Decolonisation

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The directors of a quoted company are considering issuing preference shares to fund a risky investment project. Explain the potential disadvantages of issuing preference shares.

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Governments in low-income countries may impose farm price ceiling to protect: A. Consumers B. Producers C. Whosalers D. All the above B and C only B only D A and B only A only

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Which statement regarding restriction endonucleases is NOT correct? They digest (cut) DNA by removing nucleotides from a free single stranded 3' end. They often generate short single stranded sequences. They cut (digest) double stranded DNA. They recognize a specific base sequence in the DNA.

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The effect of supply-side economic policies was to ________ ? create a recession ? increase federal deficits ? cut federal spending ? create high rates of inflation

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(9 points) (2)/(5) Determine if the alternating series converges absolutely or converge conditionally or diverges. (a) sum_(n=1)^(infty ) (-1)^(n+1)(3sqrt(n+1))/(sqrt(n)+1) (b) sum_(n=1)^(infty ) (-1)^(n+1)(1)/(lnn) (c) sum_(n=1)^(infty ) (-1)^(n+1)(1)/(sqrt(n)) Problem 3 continues. . . FST-MAT, UMAC Page 2 of 5 Intermediate Calculus 2017-2 MATB120 Problem 3 (continued) (d) sum infty (-1)^(n+1)(n!)/(2^(n)) (d) sum_(n=1)^(infty ) (-1)^(n+1)(n!)/(2^(n)) (e) sum_(n=1)^(infty ) (-1)^(n+1)((-2)^(n+1))/(n+5^(n)) (f) sum_(n=1)^(infty ) ((-1)^(n+1)n!)/(n^(n)) (g) sum_(n=1)^(infty ) ((-1)^(n+1)n^(n))/(3^(n^(2))) (h) sum_(n=1)^(infty ) ((-1)^(n+1)n^(2))/(sqrt(n^(5)+5)) (i) sum_(n=1)^(infty ) ((-1)^(n+1))/(2^(n)) (d) X D(-1)n+1n! 2n n=1 (e) D(-1)n+1(-2)n+1 n= n+5n; (f) nn n=1 (g) 3n2 (h) (-1n+1n2 n=1 Vn5+5 (i) (-1)n+1 2n n=1

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Manual Transmission Automobiles In 1980 more than 35% of cars purchased had a manual transmission (i.e. stick shift). By 2007 the proportion had decreased to 7.7%. A random sample of college students who owned cars revealed the following: out of 122 cars, 25 had stick shifts. Estimate the proportion of college students who drive sticks with 95% confidence. Use a graphing calculator and round the answers to at least three decimal places. .133 < $p$ < .277

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