Solve the system of equations using matrices. Use Gauss-Jordan elimination.3x + 5y + 2w = -122x + 6z - w = -5 -2y + 3z - 3w =-3-x + 2y + 4z + w = -2
A. {(-1, -3, 0, 3)}
B. {(-1, 3, 0, -3)}
C. {(1, -3, 0, 3)}
D. {(1, 3, 0, -3)}
Answer: A
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Using the derivative of f(x) given below, determine the intervals on which f(x) is increasing or decreasing.f'(x) = (x + 3)2 e-x
A. Never decreasing; increasing on (-?, 3) ? (3, ?) B. Never increasing; decreasing on (-?, -3) ? (-3, ?) C. Decreasing on (-?, -3); increasing on (-3, ?) D. Never decreasing; increasing on (-?, -3) ? (-3, ?)
Determine i) the domain of the function, ii) the range of the function, iii) the domain of the inverse, and iv) the range of the inverse.f(x) =
A. f(x): D = , R =
;
f-1(x): D = , R =
B. f(x): D = , R =
;
f-1(x): D is all real numbers, R =
C. f(x): D = , R is all real numbers;
f-1(x): D is all real numbers, R =
D. f(x): D = , R =
;
f-1(x): D = , R =
Use the properties of limits to evaluate the limit if it exists.
A. 0 B. Does not exist C. 5 D. -8
Use the Factor Theorem to determine whether x - c is a factor of f(x).f(x) = 27x3 + 93x2 - 37x - 55; x +
A. Yes B. No