Find the area of the region specified in polar coordinates.the smaller loop of the curve r = 3 + 6 sin ?
A. 
(2? + 3
)
B. 
(2? + 3
)
C. 
(2? - 3
)
D. 
(2? - 3
)
Answer: C
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Find the potential function f for the field F.F = 2xex2+y2i + 2yex2+y2j
A. f(x, y, z) = ex2 + ey2 + C
B. f(x, y, z) = 2ex2+y2 + C
C. f(x, y, z) = ex2+y2 + C
D. f(x, y, z) = 
+ C
Solve the problem.A 35-foot ladder is leaning against the side of a building. If the ladder makes an angle of 
with the side of the building, how far is the bottom of the ladder from the base of the building? Round your answer to the hundredths place when necessary.
A. 15.63 ft B. 20.03 ft C. 4.96 ft D. 14.33 ft
Find the LCD. Do not combine fractions.
, 
A. (x + 4)(x + 1) B. (x - 3)(x - 4)(x + 1) C. (x + 3)(x + 4)(x + 1) D. (x + 3)(x + 4)
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 38 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. Neither Truck 1 nor Truck 2 can pass under the bridge. C. Truck 2 can pass under the bridge, but Truck 1 cannot. D. Both Truck 1 and Truck 2 can pass under the bridge.