Determine where the given function is concave up and where it is concave down. f(x) = 2x3 + 12x2 + 18x
A. Concave down on 
, concave up on 
B. Concave up on 
, concave down on 
C. Concave up on ( -?, -3.5), concave down on ( -3.5, ?)
D. Concave down on (-?, -3.5), concave up on ( -3.5, ?)
Answer: A
Mathematics
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A. 
B. 
C. 
D. 
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Solve by completing the square to obtain exact solutions.x2 = 9 - 4x
A. -1 ± 
B. -2 ± 
C. 2 + 
D. -2 ± 2
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Represent the shaded area in the figure group with an improper fraction.
A. 
B. 
C. 
D. 
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If r(t) is the position vector of a particle in the plane at time t, find the indicated vector.Find the acceleration vector.r(t) = (7 cos t)i + (6 sin t)j
A. a = (-7 cos t)i + (-6 sin t)j B. a = (-7 sin t)i + (-6 cos t)j C. a = (7 sin t)i + (6 cos t)j D. a = (7 cos t)i + (6 sin t)j
Mathematics