Find the unit tangent vector of the given curve.r(t) = 
i + 
j - 12tk
A. T = 
i + 
j - 
k
B. T = 
i + 
j - 
k
C. T = 
i + 
j - 
k
D. T = 
i + 
j - 
k
Answer: D
Mathematics
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Find 
and 
.f(x, y) = x3 - 7x2y + 2xy3
A. 
= 3x2 + 2xy + 2y3; 
= -7x2 + 3xy2
B. 
= 3x2 - 14xy + 2y3; 
= -7x2 + 6xy2
C. 
= x2 - 7xy + 2y3; 
= -7x2 + 2xy2
D. 
= 3x2; 
= -7x2 + 6xy2
Mathematics
Write the first five terms of the geometric sequence with the first term a1 and common ratio r.a1 = 
, r = 
A. - 
, 
, - 
, 
, - 
B. 
, 
, 
, 
, 
C. 
, 
, 
, 
, 
D. 
, 
, - 
, 
, 
Mathematics
Find the GCF for the group of terms.9 and 90
A. 9 B. 810 C. 90 D. 99
Mathematics
Perform the indicated operations. Write the answer using only positive exponents. Assume that all variables represent positive real numbers.
A. 
B. 
C. 
D. 
Mathematics