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1. Solve the Initial Value Problem x' = 3 x^2/3 , x(0) = 0.
2. Show that if we change the IVP to x(0) = 1, the same system , that is x' = 3 x^2/3, still has a unique solution on the interval ( minus infinity, plus infinity).
Evaluate the width of the lake and Show your method of solution. You may use geometric vector
Suppose (V, | * |) is a normed space. If x, y E V and r is a positive real number, show that the open r-balls Br(x) and Br(x + y) in V are homeomorphic.
Problem on correlation coefficient
Let A be an n × n matrix with eigen values 1, 2, · · · , n. Prove there are (2 n )n! Different matrix S with the property that the length of each column vector of S is 2 such that (S -1 )AS is diagonal.
Using a 0.025 significance level, test the claim that the proportions of agree/disagree responses are same for the subjects interviewed by men & the subjects interviewed by women.
Determine the Minimin and Minimax regret
The ELISA test was introduced in the mid-1980s to screen blood for the presence of AIDS antibodies
Consider a seven-game world series between team A and B, where for each game, what is the most likely number of games to be played in the series for p=0.6?
Use a worksheet to simulate the rolling of dice. Use the VLOOKUP function to select the outcome for each die. Place the number for the first die in column B and the number for the second die in column C
Important information about Working with conditional probability. The following table shows frequencies for red-green color blindness, where M represents "person is male" and C represents "person is color-blind".
Dividing a complex number with another number
What is the equation of the vertical line through P? What is the equation of the horizontal line through P?
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