Find an upper bound for the magnitude |E| of the error in the linear approximation L to f at the given point over the given region.
at 
R: |x - 4| ? 0.2, |y - 4| ? 0.2, |z - 4| ? 0.2
A. |E| ? 0.00000351
B. |E| ? 0.00000234
C. |E| ? 0.00000439
D. |E| ? 0.00000264
Answer: A
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Find the equation of the parabola whose vertex and focus are shown.
A. (x + 2)2 = -12(y - 3) B. (y + 2)2 = -12(x - 3) C. (x + 2)2 = 8(y - 3) D. (y + 2)2 = 8(x - 3)
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 9 feet. Two trucks plan to use this road. They are both 12 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. Both Truck 1 and Truck 2 can pass under the bridge. B. Truck 2 can pass under the bridge, but Truck 1 cannot. C. Truck 1 can pass under the bridge, but Truck 2 cannot. D. Neither Truck 1 nor Truck 2 can pass under the bridge.
Find the products AB and BA to determine whether B is the multiplicative inverse of A.A = 
,B = 
A. B = A-1 B. B ? A-1
If possible, evaluate the expression by hand. If not, approximate the answer to the nearest hundredth.644/3
A. 1024 B. 16,384 C. 256 D. 4096