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lee johnson

lee j.

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The position of a weight attached to a spring is given by, \( s(t)=-4 \cos (6 \pi t) \) inches after \( t \) seconds. What is the maximum height that the weight rises above the equilibrium position? Do not label. \( \square \)

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Consider the following. f(x, y, z) = x^2yz - xyz^7, P(6, -1, 1), \mathbf{u} = \left<0, \frac{4}{5}, -\frac{3}{5}\right> (a) Find the gradient of f. \nabla f(x, y, z) = (b) Evaluate the gradient at the point P. \nabla f(6, -1, 1) = (c) Find the rate of change of f at P in the direction of the vector \mathbf{u}. D_\mathbf{u}f(6, -1, 1) =

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The differential equation \(y''' + ay'' + by' + cy + dy = 0\) has a solution \(y = 2te^{3t} - 6e^{3t}sin(2t)\) for real numbers a, b, c and d. Then: a = , b = , c = , d =

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HNO2 Ka = 4.5 x 10$^{-4}$ 1. If you have a solution that mixes 25.0 mL of 0.200 M HNO2 with 75.0 mL of 0.160 M RbNO2, what is the resulting pH? 2. If you have a solution that is 0.4000 M LiNO2, 0.8000 M HNO2, and 0.0800 M KOH, what is the resulting pH?

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In neutral solution, ? $[H_3O^+] = [OH^-]$ ? $[H_3O^+] > [OH^-]$ ? $[H_3O^+] < [OH^-]$ ? $[H_3O^+] = 0M$ ? $[OH^-] > 7.00$

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K Meg Clifford opened a public relations firm called Music Maze on August 1, 2016. The following amounts summarize her business on August 31, 2016: (Click the icon to view the amounts.) During September 2016, the business completed the following transactions: 1 (Click the icon to view the transactions.) Analyze the effects of the transactions on the accounting equation of Music Maze. Analyze the events chronologically, one transaction at a time. Beginning with transaction a., calculate the balance in each account after analyzing the effect of the transaction on the accounting equation. (Complete only the necessary answer boxes for your transaction lines. [Do not enter any zeros for your transaction lines.] Carry down all balances to the \"Bal.\" line, including zero balance accounts, entering a \"0\" for any zero balances. Enter a decrease in an account with a minus sign or parentheses. Abbreviations used: A/P = Accounts Payable; A/R = Accounts Receivable; Adv. = Advertising; Cap. = Clifford, Capital; Exp. = Expense; Liab = Liabilities; Rev. = Revenue; Sup. = Supplies; Withdr. = Clifford, Withdrawals.) ASSETS LIAB. EQUITY Cash + A/R + Office + Land = A/P + Cap. - Withdr. + Service - Rent - Adv. Sup. Rev. Exp. Exp. Bal. 2,700 3,400 0 18,000 7,000 13,700 0 3,400 0 0 a. Bal. More info a. Meg Clifford contributed $9,000 cash in exchange for capital. b. Performed service for a client and received cash of $1,600. c. Paid off the beginning balance of accounts payable. d. Purchased office supplies from OfficeMax on account, $300. e. Collected cash from a customer on account, $2,300. f. Meg withdrew $1,300. g. Consulted for a new band and billed the client for services rendered, $2,700. h. Recorded the following business expenses for the month: 1. Paid office rent: $800. 2. Paid advertising: $800. Print Done X

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Find the general solution of the differential equation. Then, use the initial condition to find the corresponding particular solution. y' + 6y = 1, y(0) = 1

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5. Based on the last two articles (2018 and 2021), what changes in policy have been proposed and/or enacted following the 2010 Fair Sentencing Act? You should be able to summarize what you learn in the 2018 article here, as it is fairly straight forward. The 2021 article is more complex but please do the best you can to incorporate that information into this answer as well.

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Which carbocation is the most stable?

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3) Two \"quarter squares\" wires with side length a (the full square would have a side length of 2a), are located in the top half of the plane, centred on the origin. The left \"quarter square\" is uniformly charged, with a total charge -Q, while the right \"quarter square\" is uniformly charged with a total charge +Q. Calculate the electric field (magnitude and direction) at the origin created by this distribution of charge. Hint: you can use superposition of line of charges.

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