Multiply.9(10x - 12)
A. 90x - 12
B. 10x - 108
C. -18x
D. 90x - 108
Answer: D
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If r(t) is the position vector of a particle in the plane at time t, find the indicated vector.Find the acceleration vector.r(t) = (6 ln(2t))i + (7t3)j
A. a = - 3t-2i + 42tj
B. a = 
t-2i + 42tj
C. a = - 
i + 42tj
D. a = 
i + 21tj
Solve the problem.A bead is formed from a sphere of radius 2 by drilling through a diameter of the sphere with a drill bit of radius 1. Find the volume of the bead.
A. 
?
B. 
?
C. 
?
D. 
?
Solve the problem.The torque T on the arm of a robotic control mechanism varies directly as the cube of the diameter d of the arm. If T = 1043 lb ? in. for d = 0.99 in., find the expression for the instantaneous rate of change of T with respect to d.
A. 1075d2 lb ? in. /in. B. 3225d3 lb ? in. /in. C. 1075d3 lb ? in. /in. D. 3225d2 lb ? in. /in.
Establish the identity.(sin x)(tan x cos x - cot x cos x) = 1 - 2 cos 2 x
What will be an ideal response?