Find the curvature of the curve r(t).r(t) = (10t + 5)i - 9j + (10 - 5t2)k

A. ? = 
B. ? = 103/2
C. ? = 
D. ? = 10


Answer: A

Mathematics

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Solve the problem.Derive a series for ln(1 + x2) for x > 1 by first finding the series for  and then integrating. (Hint: )

A. 2 ln x + 
B. ln x + 
C. ln x + 
D. 2 ln x + 

Mathematics

Estimate the magnitude of the error involved in using the sum of the first four terms to approximate the sum of the entire series.

A. 1.68 × 10-1 B. 1.96 × 10-2 C. 6.00 × 10-2 D. 3.36 × 10-2

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Find the following limit.

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Choose the value which could represent the slope of the line. Assume that the scale on the x-axis is the same as the scale on the y-axis.

A. - 
B. - 2
C.
D. 2

Mathematics