MeIn an electric circuit containing a resistor and a capacitor with an initial charge qo, the charge q on the capacitor at any time thmafter closing the switch can be found by solving the equation Inq =+ In 9o. Here, R is the resistance, and C is theRCcapacitance. Solve for q as a function of t.ewoSelect the correct equation below.zesO A.q= eRC+ et 90О в.q= eRCOC.RCRCO D.90tes

Answered: In an electric circuit containing a…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Similar questions

The number of bacteria in a container is given by an equation, Q(t)= Qoekt, where t is measured in hours. (a) Suppose that there are 8000 bacteria initially, and 13000 bacteria after 2 hours, find the value of k (correct to 5 decimal places). (b) Using the result in part (a), find the values of A, B, and C (correct to nearest integer). 0 t 1 2 3 4 Q(t) 8000 A B 16572 C
Suppose a cup of coffee is poured from a freshly-brewed pot and left to cool in a 75-degree room. Let the temperature (in °F) of the coffee be given by the function T(t) = 105(0.9634)^t + 75 where t is the time in minutes (t ≥ 0) the cup of coffee has been cooling after being poured. Use the equation T(t) = 100 to complete the following. a.) Use Newton’s method with an initial guess of t1 = 20 to estimate the solution to the equation, correct to six decimal places. (hint: Newton’s method only works for equations of the form f(x) = 0) b.) Interpret the solution from part (a) in context.
: The following equation has three positive roots and one negative root: x² - 4x³-7x² +34x-24= :0 Approximate one positive root and the negative root by starting x°-5 and x=-5 respectively, using the Newton-Raphson method. Perform at least five iterations for each of the roots. Then find the other two positive roots.
2. On a certain day, the depth off a pier at high tide was 6m. After 6h, the depth of the water was 3m. Assume a 12h cycle a. Find the equation of the depth of water, with respect to its average depth, in terms of the time, t hours since high tide. b. Find the depth of water at t=8h

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