Find the curvature of the curve r(t).r(t) = (9t + 8)i - 4j + (9 - t2)k

A. ? = 
B. ? = 9
C. ? = 93/2
D. ? = 


Answer: D

Mathematics

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Solve the problem.Let T(x, y) = 16x2 - 2xy + 16y2 be the temperature at the point (x, y) on the ellipse   0 ? t ? 2?. Find the minimum and maximum temperatures, Tmin and Tmax, respectively, on the ellipse.

A. Tmin = 496; Tmax = 528
B. Tmin = 240; Tmax = 272
C. Tmin = 0; Tmax = 32
D. Tmin = ; Tmax = 

Mathematics

Solve the problem. Round your answer to the nearest tenth.The roof of a building is in the shape of the top half of the hyperbola y2 - 8x2 = 40, where x and y are in meters. Refer to the figure and determine the height, h, of the outside walls. a = 8.0 mb = 8.0 m

A. 23.5 m B. 72.0 m C. 552.0 m D. 8.5 m

Mathematics

Select the more reasonable temperature for the item.Making hot tea89°C89°F

A. 89°C  B. 89°F

Mathematics

Establish the identity. = 

What will be an ideal response?

Mathematics