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find the general solution of the given differential equaion. give the largest interval I over which the general solution is defined. Determine whether there are any transient terms in the general solution.
a) dy/dx+(3x^2)y= x^2b) (cosx) dy/dx+(sinx)y=1c) x dy/dx+(3x+1)y=e^(-3x)
find the equation of the largest sphere that passes through the point (-1,1,4) and is such that each of the points (x,y,z) inside the sphere satisfies the condition x^2+y^2+z^2
Why did Leontief use linear algebra techniques to create his model? Can you think of alternative methods? What are the main strengths of his model?
The bucket is filled with 40 pounds of water and is pulled up at a rate of 2.7 feet per second, but water leaks out of a hole in the bucket at a rate of 0.1 pounds per second. Find the work done pulling the bucket to the top of the well.
The surface area of the top surface of the water in a circular swimming pool is about 206 square feet. Estimate the radius of the pool, to the nearest foot.
Determine the length of pipe that a gas company will need to connect a house which is situated at the point (-6,8) to a gas line whose equation is y=-3x+2.
What is the maximum height attained by the projectile? Show some work
if the length of the hypotenuse of the right triangle is 10, find the lengths of the other sides when the area is maximum.
two minor league baseball players got a total of 378 hits. washington had 16 more hits than sanchez. find the number of hits for each player.
The derivative by using the differentiation rules
which length measurement is most precise between 50 centimeters 24.36 centimeters 37 centimeters or 18.5 centimeters.
A grain silo has a cylindrical shape. Its diameter is16FT , and its height is 47FT . What is the volume of grain that can be stored in the silo?
What is the composition in mole fractions of a solution that has a vapor pressure of 37 torr at 20 ^circ {rm C}?
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