Numerade

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(a) Find the open interval of convergence of the power series $$ \sum_{n=3}^{\infty} \frac{n}{(2n+1)5^n}(x-3)^{2n+1}. $$ (b) Does the series converge at the left endpoint of the open interval of convergence? Justify your answer.

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Identify the structure, as numbered above, which performs each of the functions given below. Functions: transmits impulses to the central nervous system receives sensory stimulation carries out instructions from the central nervous system; is a muscle transmits impulses from the central nervous system to the effector

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Minimum Spanning Trees (MST) Finding a Minimum Spanning Tree for the following graph based on each of the following algorithm. You need to show the procedures step-by-step. You could directly draw the final MST but indicate the sequence of your search by writing a series of letters, i.e. (a), (b), (c)... under the edges of the MST. This type of answer is preferred. Or else, you need to draw a graph for each step separately. Illustrate Kruskal's algorithm. Prim's algorithm (start with the node 'DFW'). What are the running times for Kruskal's algorithm and Prim's algorithm? Fig. 1. A weighted graph whose vertices represent major U.S. airports and whose edge weights represent distances in miles. Minimum Spanning Trees (MST) Finding a Minimum Spanning Tree for the following graph based on each of the following algorithm.You need to show the procedures step-by-step. You could directly draw the final MST but indicate the sequence of your search by writing a series of letters,i.e.(a),b),c)...under the edges of the MST.This type of answer is preferred.Or else,you need to draw a graph for each step separately. Illustrate Kruskal's algorithm Prim's algorithm (start with the node'DFW') What are the running times for Kruskal's algorithm and Prim's algorithm? 2704 1846 740 1464 1235 1090 1121 1258 2342 Fig. 1. A weighted graph whose vertices represent major U.S. airports and whose edge weights represent distances in miles.

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1. State the null and alternative hypotheses for each of the following: (a) You are testing that the mean download speed of your DSL Internet connection is more than four Megabits per second. (b) The mean entry level salary of an employee at a company is $60,000. You believe it is higher for data analysts in the company. (c) A tourist guide claims the probability that a person picked at random in Piccadilly Circus in London is visiting the area is 0.85. You want to test to see if the proportion is actually more. (d) In a population of rabbits, approximately 38% are male. A test is conducted to see if, in fact, the proportion is less.

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2. In the open delta connection, each transformer carries the line current. Based in this information, what percentage of a three transformer delta VA capacity is the open delta able to supply to a load?

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Question 30 of 34 1.0 Points emphasizes the role of context-dependent cognitive interpretation in transforming general arousal to a specific emotion such as fear or happiness. A. The Schachter-Singer theory of emotion B. Darwin's theory of emotion C. The Cannon-Bard theory of emotion D. The James-Lange theory of emotion Reset Selection Mark for Review What's This?

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$\qquad + \quad v_1(t) \quad - \quad + \quad v_2(t) \quad - \\ \qquad \uparrow i(t) \quad R \quad L \quad C = v_3(t) \\ \qquad - \\ i(t) = 2.9 \cos(331t + 36^\circ) \text{ A.} \\ R = 29 \Omega. \\ C = 97 \mu F. \\ L = 56 \text{ mH.} \\ \text{Determine the voltages across each element in the form } v_i(t) = A_i \cos(\omega t + \theta_i) \text{ V, where } A_i > 0 \text{ and} \\ -180^\circ < \theta_i \le 180^\circ. \text{ Units: Volts(V) and degrees.} \\ \text{Resistor} \\ A_1 = \underline{\qquad \qquad} \quad \text{Preview} \\ \theta_1 = \underline{\qquad \qquad} \quad \text{Preview} \\ \text{Inductor} \\ A_2 = \underline{\qquad \qquad} \quad \text{Preview} \\ \theta_2 = \underline{\qquad \qquad} \quad \text{Preview} \\ \text{Capacitor} \\ A_3 = \underline{\qquad \qquad} \quad \text{Preview} \\ \theta_3 = \underline{\qquad \qquad} \quad \text{Preview} $

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Problem 4: Merry go round Tom and Jerry both push on the 2.25 m radius merry-go- round as shown in the figure on the right. Both push with the same magnitude of force of 150 N. a) What is the net torque on the merry-go-round? (3 pts.) $\tau = rf \sin \theta$ $\tau = rf_{Tom} \sin 60^\circ - rf_{Jerry} \sin 80^\circ$ $= 19.883$ [10 points] 60$^\circ$ 80$^\circ$ Tom Jerry b) You are given that the mass of the merry-go-round is 120 kg and can approximate the shape as a disk rotating about its center. What is the moment of inertia of the merry-go-round? (4 pts.) c) What is the angular acceleration in rad/s²? (3 pts.)

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Rod AB is rotating with an angular velocity of $\omega_{AB} = 42\text{ rad/s}$ (Figure 1) Part A Determine the velocity of the slider C at the instant $\theta = 60^\circ$ and $\phi = 45^\circ$ Express your answer to three significant figures and include the appropriate units. Enter positive value if the velocity is directed upward and negative value if the velocity is directed downward. Figure $\mu A$ ? Value Units 300 mm B $\theta$ 600 mm $\omega_{AB}$ Submit Previous Answers Request Answer Incorrect; Try Again; 2 attempts remaining Review your calculations and make sure you round to 3 significant figures in the last step. Part B Complete previous part(s) Provide Feedback Next >

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Your friend, Sam, receives take-home pay of $2,140.50 twice a month. In reviewing the pay stub, you notice the following: Federal income taxes withheld of $450, FICA of $186, Medicare of $43.50, and state tax withholding of $180. Sam is single and does not itemize. Determine (Using 2020 rates and standard deduction amounts!): a. The amount of taxable wages that are to be reported on line 1 of Form 1040. b. The amount of taxable income Sam has on line 15 on Form 1040 (page 1). c. The federal income tax liability on line 16 of Form 1040 (page 2). d. The amount of refund or balance due (either line 34 or line 35 on page 2 of Form 1040). e. What is Samâ€™s average rate of tax when adding up the actual federal taxes, FICA and Medicare, and state income taxes? (Assume that state income taxes withheld equals the actual state income tax liability). f. What is Samâ€™s marginal tax rate for the next $1 of earnings? This would be the federal and state rates plus FICA and Medicare.

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santiago s.