Factor the trinomial completely. If the trinomial cannot be factored, say it is prime.x2 + 2xy - 8y2
A. (x - y)(x + 2y)
B. (x + 4y)(x - 2y)
C. (x - 4y)(x + y)
D. (x - 4y)(x + 2y)
Answer: B
Mathematics
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For the given equation, find the vertex or vertices.r = 
A. (1, 0)
B. (1, ?)
C. 
D. 
Mathematics
Use integration by parts to establish a reduction formula for the integral.
A. 
= - 
sinn-1 x cos x + 
B. 
= sinn-1 x cos x - (n - 1) 
C. 
= sinn-1 x cos x + (n - 1) 
D. 
= - 
sinn-1 x cos x - 
Mathematics
Express the integrand as a sum of partial fractions and evaluate the integral.
dx
A. ln
- ln
+ ln
+ C
B. 2 ln
- 3 ln
+ 4 ln
+ C
C. -3 ln
+ 4 ln
+ C
D. 2 ln
+ 4 ln
- 3 ln
+ C
Mathematics
Test the vector field F to determine if it is conservative.F = -cos x cos yi + sin x sin yj - sec2 zk
A. Not conservative B. Conservative
Mathematics