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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 stamp collection consists of 3, 8, and 15 cent stamps. The number of 8 cent stamps is one less than triple the number of 3 cent stamps. The number of 15 cent stamps is six less than the number of 8 cent stamps.
Objective questions based on regression
Simon does not complete his homework, Both Simon and Hannah complete their homework
Analyze the data using graphical representations & numerical summaries.
If I treat the upper block as a 2x2 matrix, I can find P = [1 0; 1 1] (Note: Using Matlab notation here). This correctly results in INV(P)AP = [3 1; 0 3] which is in the form needed.
Construct examples showing that every possible connectivity number occurs (for graphs regular of degree 3):(Kappa) = 0, 1, 2, 3. Kappa = connectivity
the coin is returned to Al and the entire process begins again. The game continues until soneone gets heads. What is the probability of each of them winning?
Two chemicals A and B are combined to form a chemical C. The rate of the reaction is proportional to the product of the instantaneous amounts of A and B not converted to chemical C.
Finding the density of y and then finding the expectation and (b) using theorem A
Normal curve approximation to the binomial distribution, Assume the distribution is normal. Use the area of the normal curve to answer the question. Round to the nearest whole percent.
Calculate the mean and standard deviation of the distribution for your example. Binomial and Poisson Distributions in Real Life
Show that if a>0, then the convergence of the function nx/(1+n^2 x^2) is uniform on the interval [a,infinity), but is not uniform on the interval [0,infinity).
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