Find the equation for the level surface of the function through the given point.f(x, y, z) = 
+ 
, (5, e6, e-4)
A. -5e-4 - 5e6 + 4e5 + 1 = 
+ 
B. -4e-4 - 6e6 + 4e5 + 1 = ln ? + 1 + t et
C. -4e-4 - 6e6 + 4e5 - 9 = 
+ 
D. -4e-4 - 6e6 + 4e5 + 1 = 
+ 
Answer: D
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Solve the problem.A heavy-duty shock absorber is compressed 4 cm from its equilibrium position by a mass of 300 kg. How much work is required to compress the shock absorber 7 cm from its equilibrium position? (A mass of 300 kg exerts a force (in N) of 300g, where g ? 9.8 m/s2.)
A. 18.375 J B. 1,837.5 J C. 180.075 J D. 18,007.5 J
The position vector of a particle is r(t). Find the requested vector.The velocity at t = 2 for r(t) = (4t2 + 2t + 9)i - 3t3j + (5 - t2)k
A. v(2) = 18i + 36j + 4k B. v(2) = 10i - 12j - 2k C. v(2) = 18i - 36j - 4k D. v(2) = 14i - 36j - 4k
Expand.(3x2 - 2)3
A. 27x3 - 54x2 + 36x - 8 B. (9x4 - 12x2 + 4)3 C. 81x8 + 27x6 - 54x4 + 36x2 - 8 D. 27x6 - 54x4 + 36x2 - 8
Perform the indicated operations.-6.4 + 9.2 + (-10.6)
A. 26.2 B. 5 C. 13.4 D. -7.8