Factor the expression completely. If the polynomial will not factor, write "prime."d2 - 18d - 81
A. prime
B. (d + 9)(d - 9)
C. (d - 9)2
D. (d + 9)2
Answer: A
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Use the method of undetermined coefficients to solve the differential equation.3
- 13
+ 4y = xe-2x; 
= - 
and y = 
when x = 0
A. y = 
e4x - 
ex/3 - 
xe-2x + 
e-2x
B. y = 
e4x + 
ex/3 + 
xe-2x + 
e-2x
C. y = 
e4x - 
ex/3 + 
xe-2x + 
e-2x
D. y = 
e4x - 
ex/3 + 
xe-2x + 
e-2x
Solve the problem.An arch in the form of a semiellipse is 52 ft wide at the base and has a height of 20 ft. How wide is the arch at a height of 12 ft above the base?
A. 41.6 feet B. 35.5 feet C. 20.8 feet D. 17.7 feet
Solve the inequality by the test-point method. Write the solution in interval notation.x2 + 9 < 3x
A. {3} B. (3, ?) C. (-?, -3) D. ?
Find the length of the latus rectum of the parabola.Focus: (2, 0); vertex (8, 0).
A. 
B. 6
C. 24
D. 12