Determine whether the following is always true or not always true. Given reasons for your answers.(u × v) ? w = u ? (w × v)
What will be an ideal response?
Not always true; (u × v) ? w = u ? (v × w), but v × w = -(w × v) from which it follows that the original equation false if 
Mathematics
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Find the curvature of the space curve.r(t) = (7 t sin t + 7 cos t)i + 7j + (7t cos t - 7 sin t)k
A. ? = 
B. ? = 7t
C. ? = 
D. ? = - 
Mathematics
Solve the equation.3(3x - 6 ) = 27
A. {9}
B. {3}
C. {-3}
D. 
Mathematics
Evaluate the expression.
+ 120.8 ÷ 8(2.6 - 6.5)
Round to the nearest hundredth if necessary.
A. -57.32 B. -60.34 C. -58.83 D. -53.83
Mathematics
Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions.ln x + 9 ln y
A. ln(9xy)
B. ln(xy9)
C. ln
D. ln(x + 9y)
Mathematics