Solve the problem.A film of liquid in a thin tube has surface tension ? given by 
where h is the height of the liquid in the tube, ? is the density of the liquid, g is the acceleration due to gravity, r is the radius of the tube, and ? is the angle of contact between the tube and the liquid's surface. Solve for ?.
A. ? = cos-1 
B. ? = cos-1 
C. ? = cos-1 
D. ? = sec-1 
Answer: C
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Find the equation in slope-intercept form of the line satisfying the conditions.m = -9, passes through (-8, 4)
A. y = -9x + 75 B. y = 9x - 66 C. 9x + y = 68 D. y = -9x - 68
Rewrite the given integral so that it fits the form 
, and identify u, du, and n.
A. 
; u = ln x, du = 
, n = 8
B. 
; u = x, du = ln8x dx, n = -1
C. 
; u = ln x, du = 
, n = -8
D. 
; u = ln8x, du = 
, n = -1
Solve the problem.Given the velocity and initial position of a body moving along a coordinate line at time t, find the body's position at time t.v = 
sin 
, s(?2) = 2
A. s = -2 cos 
+ 8.2134
B. s = 2 cos 
+ 4
C. s = -2 cos 
+ 3.3073
D. s = -2 cos 
+ 4
Solve the system of equations. If the system is inconsistent or has dependent equations, say so.
A. {(x, y, z) 
}; dependent equations
B. {(-5, 3, -6)}
C. ?; inconsistent system
D. {(-6, -5, 3)}