Find the curvature of the space curve.r(t) = -8i + (t + 4)j +(ln(cos t) + 8)k

A. ? = csc t
B. ? = sin t
C. ? = sec t
D. ? = cos t


Answer: D

Mathematics

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City A charges a $60.00 connection fee plus $0.16 per kilowatt hour for electricity. City B charges a $76.00 connection fee plus $0.12 per kilowatt hour.  

? A: Use A for the total charges, in dollars, for connecting and using  kilowatt hours of electricity from City A. Find an equation that gives A as a linear function of . ? B: Use B for the total charges, in dollars, for connecting and using  kilowatt hours of electricity from city B. Find an equation that gives B as a linear function of . ? C: What number of kilowatt hours will result in the same charges for electricity from each city? What will be an ideal response?

Mathematics

Graph the hyperbola.1y2 - 4x2 = 4

A.

B.

C.

D.

Mathematics

Find all of the real and imaginary zeros for the polynomial function.f(x) = x3 - 4x2 - 36x + 144

A. 4 B. -4, 4, 6 C. -6, 4, 6 D. 36, 4, 144

Mathematics

Solve.A cruise boat travels 72 miles downstream in 2 hours and returns to its starting point upstream in 12 hours. Find the speed of the stream.

A. 57 mph B. 21 mph C. 15 mph D. 36 mph

Mathematics