Basic Math:
- Q Park rangers released 4 fish into a pond in year 0 Each year there were three times as many fish as the year before How many fish were there after...
- Q The function y 100e 0 045t models the amount y of radioactive material remaining in grams as a function of time t in days Calculate the half life of this...
- Q 2 A company produces and sells electric cars The company s profit P in thousands of dollars changes based on the number of cars x they produce per month The...
- Q A coolant is injected into engine fluid causing the temperature of the engine fluid to decrease with respect to time at a rate that is proportional to the difference of...
- Q Find the general solution of the given differential equation.xy + xy = 4Give the largest interval over which the general solution is defined. (Think about the implications of any singular...
- Q Consider the following differential equation and seek a power series solu-tion centered at ro = 0.(x+4)y" - xy + 5y = 0By putting the equation in standard form, we can...
- Q Find the first four nonzero terms in a power series expansion about x=0 for the solution to the given initial value problem.w" +5xw'-w=0; w(0)=4, w'(0) = 0
- Q Use implicit differentiation to find the tangent line of the function In(y) = x ln(x) at the point (2,4).
- Q For the differential equation dy/dx =e-x-3x:Part A: Find a general solution. Show all your work.Part B: Verify the solution. Show all your work.
- Q Solve the initial value problem x'(t) = Ax(1) for 120, with x(0)=(3,1) Classify the nature of the origin as an attractor, repeller, or saddle point of the dynamical system described...
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