Find the unit tangent vector T and the principal unit normal vector N. r(t) = (t2 - 8)i + (2t - 2)j + 4k
A. T = 
i + 
j; N = 
i + 
j
B. T = 
i + 
j; N = 
i - 
j
C. T = 
i - 
j; N = - 
i - 
j
D. T = 
i + 
j; N = 
i - 
j
Answer: D
Mathematics
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Solve the problem.Find the moment of inertia about the z-axis of a region of constant density ? enclosed by the paraboloid 
and the xy-plane.
A. 
??
B. 
??
C. 
??
D. 
??
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Using the factoring method, solve for the roots of the quadratic equation.45x2 + 65x = 0
A. x = 0
B. x = 
, x = - 
C. x = 
, x = 0
D. x = - 
, x = 0
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A capacitor is marked as a 41 æf. The following values are measured from a bin containing several values in æf. Calculate the mean value.
40, 42, 40, 39, 40, 42, 41, 41 a. 40.6 b. 39.7 c. 41.2 d. 40
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Use the prime factorization method to find the LCM of the variable expressions.15mn and 25m2n
A. 375m2n B. 75mn C. 75m2n D. 375mn
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