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1(2-6 2 (Time allowed: 7 minutes) 10, k(k+2) 7 2k 2 4 k-l 5n (Time allowed:...
A. L=3; K=6 B. L=10; K=6 C. L=7; K=9 D. L=8; K=7 The graph below shows a firm's isoquants and isocosts. The firm is initially producing Q=20 with the cost minimizing combination of K and L, where Q is output, Kis capital and L is labor. Suppose the owner decides to expand production to Q=40. However, he signed a lease on the capital necessary to produce Q=20, which he cannot get out of in the short run. In order to...
Write out the sum. n-1 (2k + 7) k=0 OA. 7+9+ 11 + ... + (2n + 5) OB. 7+9+11+ ... + (2n + 7) OC. 9+ 11 +13 + ... + (2n + 7) D. 9+ 11 +13 + ... + (2n +5)
2K 2K A2 1 K Al 1K Vout Vi Figure 2 Problem 7. For the signal Vout obtained from problem 6, assume that we want to use the ADC of the Arduino microcontroller to convert this signal into its corresponding digital representation. The Arduino has a 0-5 V, 10bit ADC with a conversion time of 100 us 1) What is the resolution for the Arduino? 2) What is the maximum frequency of an Analog signal that can be converted using...
Prove: Let k be a positive integer, and set n :=2k-1(2k – 1). Then (2k+1 – 1)2 = 8n +1 Prove: Let n be a positive integer, and let s and t be integers. Show that Hire (st) = n(s) in (t) mod n.
1 10 onvelge a636lutely, converges conditionally, or diverges. Justify your answer, including naming the convergence test you use. (1n(b) n7/3-4 (2k)! n-2 k-0 (-1)k 2k 4. (a) (10) Let* Find a power series for h(), and find the radius of convergence Ri for h'(x). Find the smallest reasonable positive integer n so that - (b) (10) Let A- differs from A by less than 0.01. Give reasons. 5. (a) (10) Let g(x) sin z. Write down the Taylor series for...
Recall that for the Harmonic oscillator: vmk h Where k 2/2 is the wavenumber and m is the particle mass. =n2R-2k (n-2k)!k HT ka-2k where a integers; the coresponding wavefuction is Where k and |n are = The first three solutions (lecture 3) for the quantum harmonic oscillator are: n 0,k 0 Ho(1 = hwo/2 = ' Eo 25 E, — Зho/2 Н. (€) n 1, k n 2, k 0,1 E2 5hao/2 H2(42 2, Plot for a 1 ev...
Consider the following code segment. int[]arr={1, 2, 3, 4, 5, 6, 7, 8}; for(int k=3; k<arr.length-1; R++ arr[k]-arr[k+1]; What are the contents of arr as a result of executing the code segment? a. {1, 2, 3, 5, 6, 7, 8, 8) b. {2, 2, 4, 5, 6, 7, 8, 8} C. {2, 4, 6, 5, 6, 7, 8,8} d. {4, 2, 4, 4, 6, 7, 8, 8) e. {6, 6, 4, 5, 6, 7, 8, 8} int) arr={7, 2.5, 3.0,...
1. Here is a sequence of partial sums of the series ak: 5n+3 n+4 / k= 1 a) Give a 10. Show work below. b) Give ak, simplified. Show work below c) To what, if anything, does the series converge?
Remaining Time: 1 hour, 05 minutes, 56 seconds. Question Completion Status: 4 5 6 9 1 3 7 8 10 11 15 2 12 14 13 An electrical circuit is connected to 24 mV voltage source. The total current (in units of A) in the circuit is 5 Ω 2502 I w 2002 | 1.6 mA 0.625 mA 1.6 A 0.53 mA L Moving to another question will save this response.
K=42,n=1,m=18 8. The amount of time it takes a student to solve a homework problem in mathematical statistics (in minutes) follows a normal distribution with unknown mean μ and a variance equal to 9m2. Find the most powerful test to verify the null hypothesis that μ k against the alternative that , 2k on the base of k independent observations, for a significance level of n%. Calculate the power of this test (for the alternative hypothesis). What is the decision,...