Provide an appropriate response.Explain why the rule 
= b - a holds for any constants a and b.
What will be an ideal response?
= 
=
= b - a. The integral represents the area of the rectangle under 
from 
to 
which equals 
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Find the average value of 
over the given region.
over the rectangular solid in the first octant bounded by the coordinate planes and the planes 
, 
, 
A. 
B. 
C. 
D. 
Solve the problem.The following figure shows the shape and dimensions of a small dam. Assuming the water level is at the top of the dam, find the total force on the face of the dam. 
A. 4,410,000 N B. 39,690,000 N C. 11,907,000 N D. 396,900 N
Factor the difference of squares.72x2 - 512y2
A. (24x - 64y)(3x + 8y) B. (3x - 8y)(24x + 64y) C. 8(3x - 8y)(3x + 8y) D. Does not factor
Solve the triangle.b = 5, c = 7, A = 95°
A. a = 7.95, B = 51.2°, C = 33.8° B. a = 9.95, B = 33.8°, C = 51.2° C. a = 8.95, B = 51.2°, C = 33.8° D. a = 8.95, B = 33.8°, C = 51.2°