Solve for the specified variable. Assume that all other variables are nonzero.25(a2 - b) + 11 = 2F; for a
A. a = ± 
B. a = ± 
C. a = ± 
D. a = ± 
+ b
Answer: B
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Solve the problem.Let D be the smaller cap cut from a solid ball of radius 8 units by a plane 7 units from the center of the sphere. Set up the triple integral for the volume of D in spherical coordinates.
A. 
B. 
C. 
D. 
Provide an appropriate response.Determine whether or not the function is one-to-one: f(x) = |x - 8|.
What will be an ideal response?
Solve the problem.A projectile is fired from a height of 8.9 feet with an initial velocity of 117 ft/sec at an angle of 47° with the horizontal. The parametric equations for the path of the projectile are x = (117 cos 47°)t, and y = 8.9 + (117 sin 47°)t - 16t2,where x and y are in feet and t is in seconds. Determine the rectangular equation describing the path of the projectile.
A. y = 8.9 + 117x tan 47° - 
x2
B. y = 8.9 + x tan 47° - 
x2
C. y = 8.9 + 117x tan 47° - 
x2
D. y = 8.9 + x tan 47° - 
x2
Simplify using the rules for exponents.(ab2)6(ab)2
A. a8b14 B. a8b10 C. a12b24 D. a8b4