For the function f defined over an interval [a, b], express the area A as an integral.f(x) = ln(x - 5), [-2, 0]
A. 5 +
dx
B. -5 +
dx
C. 
dx
D. 
dx
Answer: C
Mathematics
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Solve the problem.A railroad tunnel is shaped like a semiellipse. The height of the tunnel at the center is 25 ft and the vertical clearance must be 
at a point 
from the center. Find an equation for the ellipse. 
A. 
+ 
= 1
B. 
+ 
= 1
C. 
+ 
= 1
D. 
+ 
= 1
Mathematics
Find the quotient.54 ÷ (-18)
A. 3
B. -3
C. -13
D. - 
Mathematics
Find the coordinates of the vertex and the direction of opening of each parabola.y = (x + 3)2 - 8
A. (3, 8) opens upward B. (3, -8) opens downward C. (-3, 8) opens downward D. (-3, -8) opens upward
Mathematics
Use the Binomial Theorem to find the indicated coefficient or term.The coefficient of x4 in the expansion of (3x + 4)6
A. 11,664 B. 23,328 C. 34,560 D. 19,440
Mathematics