Find the unit tangent vector of the given curve.r(t) = (6t cos t - 6 sin t)j + (6t sin t + 6 cos t)k
A. T = (-6 sin t)j + (6 cos t)k
B. T = (-sin t)j + (cos t)k
C. T = (6 cos t)j - (6 sin t)k
D. T = - 
(sin t)j + 
(cos t)k
Answer: B
Mathematics
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Find the derivative of y with respect to the appropriate variable.y = 9 tanh-1 (cos x)
A. 
B. ln 
sin x
C. 
D. 
Mathematics
Factor the expression completely, if possible.a3 - 6a2b + 9ab2
A. a(a + 3b)2 B. ab(a - 3)2 C. a(a - 3b)2 D. Does not factor
Mathematics
Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree.
r3 + 
r2
A. Binomial, degree 1 B. Trinomial, degree 2 C. Binomial, degree 3 D. Binomial, degree 5
Mathematics
Simplify the rational expression. Find all numbers that must be excluded from the domain of the simplified rational expression.
A. 
, x ? 3
B. 
, x ? 3
C. 8x2 - 38, no restrictions on x
D. 8x - 7, x ? 3
Mathematics