Find the unit tangent vector of the given curve.r(t) = (3 + 2t3)i + (8 + 10t3)j + (6 + 11t3)k
A. T(t) = 
i + 
j + 
k
B. T(t) = 
i + 
j + 
k
C. T(t) = 
i + 2j + 
k
D. T(t) = 2i + 10j + 11k
Answer: B
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Find ?f.f(x, y, z) = x4y9 + 
A. F = 
i + 9x4y8j - 
k
B. F = (4x3 + 6x5)i + 9y8j - 
k
C. F = 4x3y9i + 9x4y8j - 
k
D. F = (4x3 + 6x5)i + 9y8j + 
k
Find all the first order partial derivatives for the following function.f(x, y, z) = x2y + y2z + xz2
A. 
= 2xy; 
= x2 + 2yz; 
= y2 + 2xz
B. 
= 2xy + z2; 
= x2 + yz; 
= y2 + xz
C. 
= 2y + z2; 
= x2 + 2z; 
= y2 + 2x
D. 
= 2xy + z2; 
= x2 + 2yz; 
= y2 + 2xz
Solve the problem.A walker is moving along a straight bike path at 2.4 miles per hour. If the bike path is 10 miles long, find the walker's displacement from the other end as a function of time in hours.
A. s = 10 + 2.4t B. s = 2.4 + 10t C. s = 10 - 2.4t D. s = 2.4 - 10t
Solve the right triangle ABC with C = 90°. Your answer should give an angle in decimal degrees when given an angle in decimal degrees and in degrees and minutes when given an angle in degrees and minutes. Use the rules for significant digits.B = 64.23°, b = 28.57 cm
A. A = 25.77°, a ? 13.79 cm, c ? 65.71 cm B. A = 25.77°, a ? 13.79 cm, c ? 31.73 cm C. A = 25.77°, a ? 59.18 cm, c ? 65.71 cm D. A = 25.77°, a ? 59.18 cm, c ? 31.73 cm