Initial value problem
Describe that the initial value problem x'=x^(1/3), x(0)=0 has an infinite number of solutions. (Hint: Construct a solution that stays at x=0 until some arbitrary time t0, after which it takes off.)
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Compute the annual amount that Paul can spend while on his world tour if he will have no money left in the bank when he dies? Suppose Paul has a remaining life of 22 years and earns 10 percent on his savings.
A spherical balloon was losing air at rate of 5 in^3/sec. At what rate is the radius of the balloon decreasing when the radius equals 5 inches?
In how many ways can n people be seated upon any number of circular tables. Please provide the explanation or recursion relation.
Compute the eqution of the tangent plane and normal line to the surface: f(x,y,z) = z^2-2x^2-2y^2 = 16 at P (1,-1,4). Find All extreme and saddle points: f(x,y,z) = x^3-xy+y^3.
Susie Homaker desires to open delivery service called Cookies on Wheels. Baking skills and creativity are her strengths, but she lacks knowledge on how to keep records on money transactions for a business.
An overnight rainstorm has caused the major roadblock. Three massive rocks of mass m1 = 542 kg, m2 = 884 kg and m3 = 333 kg have blocked the busy road.
Dividends have grown at the rate of 4.7% per year and are expected to continue to do so for the for the foreseeable future. Determine Cryton's cost of capital where the firms tax rate is 30%?
Employ the Frobenius method to solve: 2xy'' - 2y' + y = 0. Find index r amd recurrence relation. Compute the first 5 terms (a0-a4) using the recurrence relation for each solution and index r.
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