Solve the problem by integration.The force F (in N) applied by a stamping machine in making a certain computer part is
where x is the distance (in cm) through which the force acts. Find the work done by the force from
to 
A. 16.2515 N? cm
B. 0.0313 N? cm
C. 0.1126 N? cm
D. 0.0052 N? cm
Answer: B
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Decide whether or not the arrow diagram defines a function.DomainRange
A. Yes B. No
Solve the problem.List all the combinations of 4 objects 1, 2, 3, and 4 taken 3 at a time. What is C(4, 3)?
A. 123, 124, 134, 234, 321, 432 C(4, 3) = 6 B. 111, 112, 113, 114, 121, 122, 123, 124, 131, 132, 133, 134, 141, 142, 143, 144, 211, 212, 213, 214, 221, 222, 223, 224, 231, 232, 233, 234, 241, 242, 243, 244, 311, 312, 313, 314, 321, 322, 323, 324, 331, 332, 333, 334, 341, 342, 343, 344, 411, 412, 413, 414, 421, 422, 423, 424, 431, 432, 433, 434, 441, 442, 443, 444 C(4, 3) = 64 C. 123, 124, 132, 134, 142, 143, 213, 214, 231, 234, 241, 243, 312, 314, 321, 324, 341, 342, 412, 413, 421, 423, 431, 432 C(4, 3) = 24 D. 123, 124, 134, 234 C(4, 3) = 4
For the given parabola, give the coordinates of the vertex, the axis, the domain, and the range.y = -2x2 + 36x - 167
A. vertex: (5, -9); axis: x = 5; domain: (-?, ?); range: [-9, ?) B. vertex: (9, 5); axis: x = 9; domain: (-?, ?); range: (-?, 5] C. vertex: (9, -5); axis: x = 9; domain: (-?, ?); range: (-?, -5] D. vertex: (9, -5); axis: x = 9; domain: (-?, ?); range: [-5, ?)
Solve the system of equations.
A. (-5, -4, -1) B. (-1, -4, -5) C. (-5, -1, -4) D. No solution