Find the fundamental matrix F for the absorbing Markov chain with the given matrix.
A. 
B. 
C. 
D. 
Answer: D
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Use Euler's method with the specified step size to estimate the value of the solution at the given point x*. Find the value of the exact solution at x*.y' = 2xex2, y(0) = 4, dx = 0.1, x* = 1
A. Euler's method gives y ? 5.7183; the exact solution is 6.2619 B. Euler's method gives y ? 5.4584; the exact solution is 5.7183 C. Euler's method gives y ? 6.0042; the exact solution is 5.9901 D. Euler's method gives y ? 4.9125; the exact solution is 5.4465
Find all vertical asymptotes of the given function.f(x) = 
A. x = 
, x = -1
B. x = 
, x = -1
C. x = - 
, x = 1
D. x = - 
, x = 1
Determine the limit by sketching an appropriate graph. 
A. 1 B. 4 C. 0 D. Does not exist
Solve the system.3w + x - 2y + z = 4-w + 3x + y - 3z = 44w - x + 3y + 2z = 17 w + x - 3y - z = 0
A. (-4, -2, 4, 3) B. (-1, 3, 3, 1) C. (4, -2, 0, 3) D. (4, -1, 2, -3)