Find the curvature of the curve r(t).r(t) = (10 + ln(sec t))i + (4 + t)k, -?/2 < t < ?/2

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


Answer: C

Mathematics

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Solve.On a road trip, Jackie and Meredith drove 395 miles through the United States and 135 kilometers through Canada. How many kilometers did they travel in total? Round your answer to the nearest hundredth if necessary.

A. 530 km B. 770.95 km C. 478.7 km D. 719.65 km

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Find the perimeter of the polygon described. Write any improper fractions as mixed numbers.A square; one side is 17.5 in.

A. P = 306.25 in. B. P = 35 in. C. P = 70 in. D. P = 52.5 in.

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Give the largest interval where the function increases or decreases, as requested.f(x) = (x + 3)2 + 3; decreases

A. (3, ?) B. (3, 0) C. (0, -3) D. (-?, -3)

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Solve the inequality. Express your answer using interval notation. > 9

A.  or (2, ?)
B.
C.  or 
D.  or (2, ?)

Mathematics