Use elimination to solve each system of equations, if possible. Identify the system as consistent or inconsistent. If the system is consistent, state whether the equations are dependent or independent. x + 2y = -6-7x + 3y = 42
A. inconsistent
B. (-5, -1); consistent and independent
C. (-6, 0); consistent and independent
D.
| (-5, -6); consistent and independent |
Answer: C
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Find the unit tangent vector T and the principal unit normal vector N. r(t) = (10 + t)i + (4 + ln(sec t))j - 4k, -?/2 < t < ?/2
A. T = (cos t)i + (sin t)j; N = (- sin t)i + (cos t)j B. T = (cos t)i - (sin t)j; N = (-sin t)i - (cos t)j C. T = (-cos t)i - (sin t)j; N = (-cos t)i + (sin t)j D. T = (-cos t)i - (sin t)j; N = (sin t)i - (cos t)j
Find the effective annual interest rate for the given nominal annual interest rate. Round your answers to the nearest 0.01%.5% compounded quarterly
A. 5.12% B. 5.00% C. 5.09% D. 5.06%
Find the center of mass of a thin plate covering the given region with the given density function.The region enclosed by the parabolas y = 18 - x2 and y = x2, with density ?(x) = x2
A. 
= 0, 
= 9
B. 
= 0, 
= 
C. 
= 9, 
= 0
D. 
= 0, 
= 18
Solve the system by addition.-3x - 2y = 0-6x = -2 + 4y
A. {(4, -1)} B. ? C. {(-3, -1)} D. {(4, -6)}