Mathematics Homework Solutions

Magnitude of the magnetic field

Question attached regarding the magnitude of the magnetic field. #44

Sec 17.3 #26

#26 Please see the attached file for full problem description.

Sec 17.5 #36

#36 Please see the attached file for full problem description.

Find a parametric representation for the torus obtained....

#48 (see attachment) Find a parametric representation for the torus obtained....

sec 17.7 #40

#40 Please see the attached file for full problem description.

Stokes' Theorem

Use Stokes' Theorem to evaluate int (F.dr) over C where F = x^2*y i +x/3 j +xy k and C is the curve of intersection of hyperbolic paraboloid z= y^2-x^2 and teh cylinder x^2+y^2=1 oriented counterclockwise.

sec 17.9 #30

#30 Please see the attached file for full problem description.

Differential Equations

The birth rate in a state is 2% per year and the rate is 1.3% per year. The population of the state is now 8,000,000. a) At what rate are babies being born in the state now? with units b) At what rate are people dying in the state now? c) Write a differential equation that the population of the state satisfies. include ...continues

Differential Equations

The birth rate of a state is 2% and the death rate is 1.3% and the population is 8,000,000; but, people are moving out at a rate of 50,000 people a year. a) Write a differential equation for the population and show how the solution. b) Will the population ever reach 10,000,000? If so, when? If not, why? c) Will the popu ...continues

Integration

I've included the problem as a JPEG . Thank you

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