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1. Find the solution of the following equations:
a. di/dt = t(2-5i), i(0) = 10b. di/dt = t(2-5i), i(0) = 10
2. Use the Euler method with the step size shown to advance four steps from the given initial condition with the given differential equation:
dV/dt = 2t + V, V(0) = 1; h=0.1
A man in rowboat at point P, 150km from the shore, wishes to reach a point B, 600 km down shore, in the shortest amount of time. Where should he land if he can row at 4km/hr and walk at 7km/hr?
Automorphism of a Group, Let G be a group, T an automorphism of G, N a normal subgroup of G. Prove that (N)T is a normal subgroup of G.
Population growth rate
Determine the number X for the given table and evaluate the number x so that the preceding independence relations hold.
The Friendly Sausage Factory (FSF) can produce hot dogs at a rate of 5,000 per day. FSF suppies hot dogs to local restaurants at a steady rate of 250 per day.
What are the different forms of linear equations in two variables? Show an example of each form. How does the sign or value of the slope determine its type (i.e. whether it is +ve, -ve, undefined, or zero)?
How many solution sets do systems of linear inequalities have? Must solutions to systems of linear inequalities satisfy both inequalities?
he distribution of ant mounds on a farm can be accurately modeled by a Poisson distribution.
Find the derivative using logarithmic differentiation
What is the largest domain over which this function is defined? For this domain, what is the corresponding range of the function?
It is known that 20% of old cars cannot pass the emission test . Four old cars are selected randomly . x is the number of card in the sample that cannot pass the emission test.
The sum of three numbers is 6. The third number is the sum of the first and second numbers. The first number is one more than the thrid number. Find the numbers.
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