Determine convergence or divergence of the alternating series.
A. Diverges
B. Converges
Answer: B
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Use implicit differentiation to find dy/dx and d2y/dx2.xy + 3 = y, at the point (4, -1)
A. 
= 3; 
= - 24
B. 
= - 
; 
= 0
C. 
= 
; 
= - 
D. 
= 
; 
= 
Simplify, where possible.2a - 2b + 6c - 2(5a + 6b - 9c)
A. -3a + 4b - 3c B. -8a + 10b - 12c C. -8a - 8b + 15c D. -8a - 14b + 24c
Evaluate the logarithm, if possible. Round the answer to four decimal places.ln 0.994
A. -0.0060 B. 0.0026 C. -0.0026 D. 0.0060
Solve the problem.The arch beneath a bridge is semi-elliptical, a one-way roadway passes under the arch. The width of the roadway is 40 feet and the height of the arch over the center of the roadway is 14 feet. Two trucks plan to use this road. They are both 10 feet wide. Truck 1 has an overall height of 
and Truck 2 has an overall height of 
. Draw a rough sketch of the situation and determine which of the trucks can pass under the bridge.
A. Truck 1 can pass under the bridge, but Truck 2 cannot. B. Truck 2 can pass under the bridge, but Truck 1 cannot. C. Neither Truck 1 nor Truck 2 can pass under the bridge. D. Both Truck 1 and Truck 2 can pass under the bridge.