Provide an appropriate response.The following equations each describe the motion of a particle. For which path is the particle's speed constant?(1) r(t) = t7i + t2j(2) r(t) = cos (9t)i + sin (2t)j(3) r(t) = ti + tj(4) r(t) = cos (-4t2)i + sin (-4t2)j
A. Path (4) and Path (2)
B. Path (3)
C. Path (2) and Path (3)
D. Path (1)
Answer: B
Mathematics
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Evaluate the line integral along the curve C.
ds , C is the curve r(t) = (5t7 cos t)i + (5t7 sin t)j + 5t7k , 0 ? t ? 7
A. 
(4 - 
)
B. 
(4 - 
)
C. 0
D. 
(4 + 
)
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Indicate whether the sequence is arithmetic, geometric, or neither. Give the next two terms in the sequence.1, 8, 15, 22, 29, . . .
A. Arithmetic; 36; 43 B. Neither; 37; 44 C. Geometric; 36; 44
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Multiply the expressions.(x + 12y)(x - 12y)
A. x2 - 144y2 B. x2 - 24xy - 144y2 C. x2 + 24xy - 144y2 D. x2 - 24y2
Mathematics
Perform the indicated operations using the laws of exponents. Express the result using positive exponents.
A. 
B. 
C. 
D. 
E. 
Mathematics