Solve the problem.A brick staircase has a total of 19 steps The first step requires 103 bricks. Each successive step requires 3 fewer bricks than the prior one. How many bricks are required to build the staircase?
A. 2888 bricks
B. 1444 bricks
C. 2470 bricks
D. 1415.5 bricks
Answer: B
Mathematics
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Find fx, fy, and fz.f(x, y, z) = ln (xy)z
A. fx = - 
; fy = - 
; fz = ln (xy)
B. fx = 
; fy = 
; fz = z ln (xy)z - 1
C. fx = 
; fy = 
; fz = ln (xy)
D. fx = z ln 
; fy = z ln 
; fz = ln (xy)
Mathematics
Evaluate the integral by making a substitution and then using a table of integrals.
A. 2 sin-1 
+ C
B. 
+ 2 sin-1 
+ C
C. 
+ 2 ln 
+ C
D. 
+ 2 ln 
+ C
Mathematics
Which of the given lines is parallel to the line x=8+t, y=t, z=-7-10t?
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Mathematics
Determine if the series converges or diverges; if the series converges, find its sum.
A. Converges; 
B. Converges; 
C. Converges; 5
D. Diverges
Mathematics