Approximate the area under the curve using 10 inscribed rectangles and then using 10 circumscribed rectangles. Also find the exact area under the curve.y = 2x between x = 0 and x = 5
What will be an ideal response?
Area using inscribed rectangles: 22.5
Area using circumscribed rectangles: 27.5
Exact area: 25
Mathematics
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Write the equation of a line in slope-intercept form with the given slope that passes through the given point.m = 
; (0, 5)
A. y = - 
x + 
B. y = 
x + 5
C. y = - 
x + 5
D. y = 
x - 
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= 8
A. 40
B. 8
C. 320
D. 
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Factor by grouping.x3 - x2 + 2x - 2
A. (x2 - 1)(x + 2) B. (x2 + 1)(x - 2) C. (x2 - 2)(x + 1) D. (x2 + 2)(x - 1)
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Find the unknowns on the right side of the partial fraction decomposition.
= 
+ 
A. A = - 
, B = - 
B. A = 
, B = - 
C. A = 
, B = 
D. A = - 
, B = 
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