Evaluate the line integral.
; C is the curve x = (7 - t), y = - 1, z = (7 - t), 0 ? t ? 1
A. 
B. 
C. 
D. 
Answer: C
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Give a geometric description of the set of points whose coordinates satisfy the given conditions.x2 + y2 + z2 = 64, z = 2
A. All points within the sphere x2 + y2 + z2 = 64 and above the plane z = 2 B. All points on the sphere x2 + y2 + z2 = 64 and above the plane z = 2 C. The sphere x2 + y2 + z2 = 4 D. The circle x2 + y2 = 60 in the plane z = 2
Solve the problem.A surveyor is measuring the distance across a small lake. He has set up his transit on one side of the lake 100 feet from a piling that is directly across from a pier on the other side of the lake. From his transit, the angle between the piling and the pier is 65°. What is the distance between the piling and the pier to the nearest foot?
A. 214 ft B. 42 ft C. 47 ft D. 91 ft
Solve the inequality. Other than ?, graph the solution set on a number line.-4x + 4 ? -5x + 1
A. [-3, ?)
B. (-?, -3]
C. (-?, -3)
D. (-3, ?)
The linear programming problem has an unusual characteristic. Select a graph of the solution region for the problem and describe the unusual characteristic. Find the minimum value of the objective function (if possible) and where it occurs. ? Objective function: ? z = 2.5x + y ? Constraints: ? x ? 0 y ? 0 3x + 5y ? 15 ?5x + 2y ? 10 ?
A. 
Minimum at (0, 0): 0
B.
Minimum at 
: 5.00
C. ?
Minimum at 
: 2.63
D. ?
No minimum
E. ?
Minimum at 
: 6.97