Use a finite approximation to estimate the area under the graph of the given function on the stated interval as instructed.f(x) = 1 - x2 between x = -1 and x = 1 using the midpoint sum with two rectangles of equal width.
A. 0.75
B. 2
C. 0.5
D. 1.5
Answer: D
Mathematics
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Graph the equation. Include the coordinates of any local extreme points and inflection points.y = 9x2 + 54x
A. local minimum: (-6,-54)
no inflection points
B. local minimum: (3,-81)
no inflection points
C. local minimum: (-3,-81)
no inflection points
D. local minimum: (6,-54)
no inflection points
Mathematics
Find the vertex for the parabola whose equation is given.y = x2 - 7x + 5
A. (- 
, 
)
B. (
, 
)
C. (- 
, 
)
D. (
, - 
)
Mathematics
Find the Taylor series generated by f at x = a.f(x) = ex, a = 5
A. 
B. 
C. 
D. 
Mathematics
Use the graph of a known basic function and a combination of transformations to sketch the function.g(x) = 4
+ 3
A. 
B. 
C. 
D. 
Mathematics