Section 7.3

Section 7.3 - Notes Find the orthogonal trajectories of the...

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Section 7.3 (Homework) 1. [SCalcCC2 7.3.02.] 3/3 points Last Response | Show Details All Responses Notes Solve the differential equation. Give your answer using the form below where Z is an arbitrary positive constant. A = 3 3 B = 1/7 0.143 C = 7 7 2. [SCalcCC2 7.3.04.] 3/3 points Last Response | Show Details All Responses Notes Solve the differential equation using K as your arbitrary constant. y ' = xy y ( x ) = K*exp(x^2/2) K*exp(x^2/2) 3. [SCalcCC2 7.3.08.] 3/3 points Last Response | Show Details All Responses Notes Solve the differential equation. Let C represent an arbitrary constant. (Note: In this case, WebAssign expects your answer to have a negative sign in front of the arbitrary C .)
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z = -ln(exp(t)-C) -ln(exp(t) - C) 4. [SCalcCC2 7.3.12.] 3/3 points Last Response | Show Details All Responses Notes Find the solution of the differential equation that satisfies the given initial condition. y = sqrt(-sqrt((x^2)+1)+2) sqrt(2 - sqrt(x^2+1)) 5. [SCalcCC2 7.3.24.] 0.5/0.5 points Last Response | Show Details All Responses
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Unformatted text preview: Notes Find the orthogonal trajectories of the family of curves. Use a graphing device to draw several members of each family on a common screen. x 2- y 2 = k (_) (_) This is a family of ellipses. (_) (_) This is a family of parabolas. (_) (_) This is a family of concentric circles. (_) (_) This is a family of straight lines. (o) (o) This is a family of hyperbolas. 6. [SCalcCC2 7.3.36.] 3/3 points Last Response | Show Details All Responses Notes A tank contains 1000 L of pure water. Brine that contains 0.05 kg of salt per liter of water enters the tank at a rate of 5 L/min. Brine that contains 0.04 kg of salt per liter of water enters the tank at a rate of 10 L/min. The solution is kept thoroughly mixed and drains from the tank at a rate of 15 L/min. (a) How much salt is in the tank after t minutes? (130/3)*(1-exp(-3*t/200)) (130/3)*(1-exp(-3*t/200)) kg (b) How much salt is in the tank after 40 minutes? 19.5514 19.6 kg...
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This note was uploaded on 10/28/2010 for the course MA MA 241 taught by Professor Lesliekurtz during the Spring '10 term at N.C. State.

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Section 7.3 - Notes Find the orthogonal trajectories of the...

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