Find the angle between the vectors u and v if 
and 
Round answer to two decimal places.
A. 36.87°
B. 37.83°
C. 38.28°
D. 34.94°
E. 35.63°
Answer: A
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Find T, N, and B for the given space curve.r(t) = 
(1 + t)3/2i + 
(1 - t)3/2j + 2tk
A. T = 
i - 
j + 
k; N = 
i + 
j ; B = - 
i + 
j + 
k
B. T = 
i - 
j + 
k; N = 
i + 
j; B = - 
i + 
j + 
k
C. T = 
i + 
j + 
k; N = 
i + 
j; B = 
i + 
j + 
k
D. T = 4
i - 4
j + 2k; N = 3
i + 3
j; B = - 1
i + 1
j + 4
k
Write the fraction in simplest form using the method of your choice.
A. 
B. 
C. 
D. 
z = f (x, y) = y ?x; a = 25, b = 5, x = 7.28, y = 8.51
For the following functions, use linearization and the values of z, 
at (a b) to estimate z (x, y) .
Solve the problem.The length of the diagonal of a box is given by D = 
where L, W, and H are the length, width, and height of the box. Find the length of the diagonal, D, of a box that is 
long, 
high, and 
wide. Give the exact value.
A. 2
ft
B. 13 ft
C. 60 ft
D. 
ft