Find the slope of a straight line that passes through the given pair of points.(4, 1) and (-6, -5)
A.
B. 2
C.
D. -
Answer: A
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Evaluate the surface integral of G over the surface S.S is the dome z = 5 - 9x2 - 9y2, z ? 0; G(x, y, z) =
A. 5?
B. ?
C. 50?
D. 50
For the functions f(x) and g(x), determine the domain of (f - g)(x) (the difference of f and g).f(x) = , g(x) = -3x3
A. {x ? x is a real number and x ? 6} B. {x ? x is a real number and x ? 0} C. {x ? x is a real number} D. {x ? x is a real number and x ? -6}
Simplify.9log9 12
A. 9 B. 12 C. log912 D. 21
For each of (a)–(c) below, either draw a graph with the specified properties or else explain why no such graph exists.
(a) Graph with six vertices of degrees 1, 1, 2, 2, 2, and 3. (b) Graph with four vertices of degrees 1, 2, 2, and 5. (c) Simple graph with four vertices of degrees 1, 1, 1, and 5.