Write the partial fraction decomposition of the rational expression.
What will be an ideal response?
- 
+ 
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Use the quadratic formula to find the exact solutions.x2 = 15 + 9x
A. 
B. 9 ± 
i
C. 9, 15
D. 
± 
i
Solve the problem.Find the centroid of a hemispherical shell having outer radius 9 and inner radius 3 if the density varies as the square of the distance from the base.
A. 
= 0, 
= 0, 
= 
B. 
= 0, 
= 0, 
= 
C. 
= 0, 
= 0, 
= 
D. 
= 0, 
= 0, 
= 
Solve the problem.Evaluate 
at t = 5 for the function w(x, y) = ey - ln x; x = t2, y = ln t.
A. 
B. 
C. 3
D. - 
Solve the given problem by using Laplace transforms.A pendulum moves with simple harmonic motion according to the differential equation 
where ? is the angular displacement and D = d/dt. Find ? as a function of t given that 
and ? = 0 when 
A. ? = -0.14 sin 4.2t B. ? = 0.14 sin 4.2t C. ? = 1.3 sin 8.5t D. ? = 0.14 cos 4.2t