Use the given graph to identify the vertex.
A.
B.
C.
D.
E. none of these
Answer: A
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Find the equation for the level surface of the function through the given point.f(x, y, z) = , (3, 6, 4)
A. =
B. =
C. The level surfaces cannot be determined.
D. =
Find the center of mass of the wire that lies along the curve r and has density ?.r(t) = (2 cos 3t)i +(2 sin 3t) j + 6tk, 0 ? t ? 2?; ?(x, y, z) = 2(1 + sin 3t cos 3t)
A.
B.
C.
D.
Solve. If we neglect air resistance, the polynomial -16t2 + h0 describes the height of a falling object after falling from an initial height h0 for t seconds. A cliff is 1798 feet high. If a coin is dropped from the top of the cliff, what will the height of the coin be after 3 seconds?
A. 1644 ft B. 1688 ft C. 1668 ft D. 1654 ft
Change the number to base ten.
?
A. 1,817 B. 1,792 C. 1,807 D. 1,812 E. 473