6. Two large containers A and B of the same size are filled with different fluids. The fluids incontainers A and B are maintained at 0° C and 100° C, respectively. A small metal bar, whoseinitial temperature is 100° C, is lowered into container A. After 1 minute the temperature of thebar is 90° C. After 2 minutes the bar is removed and instantly transferred to the other container.What is the temperature of the bar at the instant it is transferred? *

Answered: 6. Two large containers A and B of the…

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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Suppose that is an eigenvector for both the matrix A and the matrix B, with corresponding eigenvalue X for A and corresponding eigenvalue μ for B. Show that is an eigenvector of A + B and AB. Proof: Since Av = A and B = μv: (i) (A + B) = and (ii) ABv= A. Au + Bu B. A(Bu) = A(μv) C. λύ + μύ D. (X +μ) E. λμῦ F. μ(Aΰ) = μ(λύ) Q.E.D.
5. A fluid initially at 100°C is placed outside on a day when the temperature is -10°C, and the temper- ature of the fluid drops by 20°C in one minute. When the temperature will drop to 0°C?
6. A 50 gallons tank initially contains 10 gal of fresh water. At t = 0, a brine solution containing 1 lb of salt per gallon is poured into the tank at the rate of 4 gal/min, while the well-stirred mixture leaves the tank at the rate of 2 gal/min. Find a. the amount of time required for overflow to occur b. the amount of salt in the tank at the moment of overflow
Task VI: You are working in the fluid mechanics system engineering department at a firm. You have a task to determine flow rates of different valves that used to fill a tank. The tank is 2000 L that is fed by three valves with different flow rates. The flow rates (in L/min) of the three valves are x, y, and z. The three valves can be used to fill the tank in 3 scenarios. In the first scenario the three valves will fill the tank as follows, valve x will be opened for 10 mins, valve y for 4 mins, and valve z for 40 mins. Second scenario, the valve x opens for 15 mins, valve y for 2 mins, and valve z for 20 mins. Third scenario, valve x opens for 12 mins, valve y for 10 mins, and valve z for 15 mins. 2000L Tank Knowing that the tank's volume (v=2000L) as a function of three valves' flow rate is given by: x * C + y * D +z * E = 2000 L Where x, y and z represent the 1st, 2nd, and 3rd valve flow rates (L/min), C is the opening time for x valve (min), D is the opening time for y valve (min),…
A technician is changing a automotbile's transmission fluid. The manual tells him the transmission hold 7.8 quarts of fluid. When He drains the transmission, it only releases 3.1 quarts. He closes the plug and puts 3.1 quarts of fresh fluid back in. The manual tells him to run the car for 10 minutes to completely mix the fresh fluid in. The manual states to repeat this process 2 more times. Knowing that some fresh fluid is lost on each of the following 2 drains, what is the final ratio of fresh fluid to old?
4. When a weight is attached to a spring, the length, I. at which the spring expands varies directly with the weight, w, of the object. If k is the constant of variation, which equation describes this relationship? 11=2 el per minute C. 1= kw D. /=k+w 100% tam (14N LARS CODAGE

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