Use front end rounding to estimate the sum or difference. Then find the exact answer to the problemSade wants to make a curtain for a window. She bought 3.7 yards of material yesterday. When she looked at the pattern, she realized she needed 12 yards of material. How many more yards must Sade purchase?
A. Estimate: 6 yards; exact: 7.3 yards
B. Estimate: 6 yards; exact: 8.3 yards
C. Estimate: 7 yards; exact: 9.3 yards
D. Estimate: 6 yards; exact: 8.2 yards
Answer: B
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Find the curvature ? for the given function.r(t) = 12ti + (6 + 10 cos 
t)j + (7 + 10 sin 
)k
A. ? = 
B. ? = 
C. ? = 
D. ? = 
Solve the problem.Refer to the following preference schedule.
Find the winner by a runoff of the top two candidates.
A. D B. C C. A D. B
Find a rectangular equation for the plane curve defined by the parametric equations.x = 3 tan t, y = 4 sec t; 0 ? t ? 2?
A. y = x2 - 9; for x in -3 ? x ? 3
B. 
+ 
= 1; for x in -? < x < ?
C. 
- 
= 1; for x in -? < x < ?
D. y = 4
; for x in -? < x < ?
Solve the problem.The diagonal of the floor of a rectangular office cubicle is 2 ft longer than the length of the cubicle and 5 ft longer than twice the width. Find the dimensions of the cubicle. Round to the nearest tenth, if necessary.
A. width = 2 ft, length = 9 ft B. width = 4 ft, length = 11 ft C. width = 9.7 ft, length = 22.4 ft D. width = 3.9 ft, length = 9.7 ft