Match the vector equation with the correct graph.
r(t) = 
ti +(2 - t)k; 0 ? t ? 2
A. Figure 3
B. Figure 1
C. Figure 5
D. Figure 8
Answer: D
Mathematics
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Evaluate the surface integral of the function g over the surface S.G(x, y, z) = 
; S is the surface of the parabolic cylinder 10y2 + 2z = 14 bounded by the planes 
x = 1, y = 0, and z = 0
A. 
B. 
C. 
D. 
Mathematics
Graph the parabola.y = 
x2
A. 
B. 
C. 
D. 
Mathematics
Factor the expression completely, if possible.r6 + 8t3
A. (r2 + 2t)(r4 - 2r2t + 4t2) B. (r - 2t)(r2 + 2rt + 4t2) C. (r + 2t)(r2 - 2rt + 4t2) D. (r2 - 2t)(r4 + 2r2t + 4t2)
Mathematics
Find the vertex, the focus, and the directrix of the parabola.(x + 4)2 = -32(y - 3)
A. V: (-4,4); F: (-4, -5); D: y = 11 B. V: (3,-4); F: (-4, -5); D: y = 11 C. V: (-4,3); F: (-4, -5); D: y = 11 D. V: (-4,3); F: (-12,-5); D: y = 11
Mathematics