Find the curvature ? for the given function.r(t) = ti + (sinh t)j + (cosh t)k
A. ? = 
B. ? = sinh2 t
C. ? = 
D. ? = cosh2 t
Answer: C
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Find a function that satisfies the given conditions and sketch its graph.
f(x) = 0, 
f(x) = ?.
What will be an ideal response?
Solve the problem.The volume of wood, V, obtained from a tree varies jointly as the height, h, and the square of the girth (the distance around the tree trunk), g. If the volume is 38.4 ft3 when the height is 30 ft and the girth is 4 ft, what is the volume when the height is 36 ft and the girth is 6 ft?
A. 106.03 ft3 B. 103.68 ft3 C. 106.68 ft3 D. 99.44 ft3
Solve the problem.According to the Gas Kinetic Theory, the average speed of a gas particle is given by 
where 
is the speed in m/s, k is the constant 1.38 × 10-23, T is the temperature of the gas in Kelvin, and m is the mass of the gas particle in kg. What is the average speed of an oxygen molecule with a mass of
at a temperature of 500 K?
A. 174 m/s B. 1020 m/s C. 330,700 m/s D. 575 m/s
Identify the vertex of the given parabola.f(x) = x2 + 1
A. (0, 1) B. (1, 0) C. (0, -1) D. (-1, 0)