Find the unit tangent vector of the given curve.r(t) = (8 - 2t)i + (2t - 6)j + (8 + t)k
A. T = 
i - 
j - 
k
B. T = - 
i + 
j + 
k
C. T = 
i - 
j - 
k
D. T = - 
i + 
j + 
k
Answer: B
Mathematics
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For the function provided, find all values of x for which f(x) satisfies the indicated condition. Graph the solution on a number line.f(x) = x2 + 4x + 3, f(x) ? 0
A. 
B. 
C. 
D. 
Mathematics
Factor the expression completely, if possible.750x3 + 6y3
A. 6(5x - y)(25x2 + 5xy + y2) B. 6(5x - y)(25x2 + y2) C. 6(5x + y)(25x2 - 5xy + y2) D. (5x - 6y)(150x2 + 5y + y2)
Mathematics
Solve the system by the substitution method.x - 2y = 3x2 - xy = 20
A. {(-5, -1), (
, 8)}
B. {(5, 1), (- 
, -8)}
C. {(-5, -1), (8, 
)}
D. {(5, 1), (-8, - 
)}
Mathematics
Solve using Cramer's rule.
A. (0, -5) B. (-1, -5) C. (0, -6) D. No solution
Mathematics