Find the curvature of the curve r(t).r(t) = (3 + ln(sec t))i + (6 + t)k, -?/2 < t < ?/2

A. ? = -cos t
B. ? = 1 - cos t
C. ? = sin t
D. ? = cos t


Answer: D

Mathematics

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Find the limit if it exists.x2/3

A. 16
B. 64
C.
D.

Mathematics

Perform the indicated division and find a simplified expression.The average velocity of a certain particle in feet per second is given by 

A. 2t2 + 3t - 4
B. 2t2 + 3t - 5 + 
C. 2t2 - 4t + 3 + 
D. 2t2 - 3t - 4

Mathematics

Provide an appropriate response.State University has seen an increase in the number of students majoring in Native American Studies. The graph below shows the number of students with this major for the past six years.Use the graph to write six ordered pairs that represent the number of Native American Studies majors for the years shown. Is this relation a function?

A. {(1, 100), (2, 200), (3, 400), (4, 650), (5, 900), (6, 1050)}; yes B. {(100, 1), (200, 2), (400, 3), (650, 4), (900, 5), (1050, 6)}; yes C. {(100, 1), (200, 2), (400, 3), (650, 4), (900, 5), (1050, 6)}; no D. {(1, 100), (2, 200), (3, 400), (4, 650), (5, 900), (6, 1050)}; no

Mathematics

Solve the problem.The tooth geometry for a particular saw blade is modeled by the following functional relationship between the tooth height, f(x), relative to an imaginary flat edge, and the distance, x, along that reference edge:Find ao, three nonzero cosine terms (if they exist), and three nonzero sine terms (if they exist) of the Fourier series for this geometrical definition.

A. f(x) = 1 -  
B. f(x) = 1 + 
C. f(x) = 1 + 
D. f(x) = 1 - 

Mathematics