The area of the region bounded by the curves f(x)=x²+1 and g(x)=2x+1 is best described by: a. ² [(2x + 1) - (x² +1)]dx b. ²₂[(2x + 1) - (x² +1)]dx c. ²[(x²+1)-(2x + 1)]dx d. ²₂ [(x²+1) - (2x + 1)]dx

Q: f(x) = x2 - 1 for the interval of [0,2]

A: To find the area of under curve on [0, 2] Given the function f(x) = x2 -1

Q: Find the relative extrema of f(x) = (x4 + 1)/x2 .

A: Given: f(x) = (x4 + 1)/x2  To Find: Relative extrema of f(x).   Concept: First-Derivative Test:

Q: Integrate f(x) from x = 2 to 8 using Three-Point Gauss-Legendre Quadrature. f(x) = 5000+24563x -…

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Q: nd the points where the function f(x) = (x² – 1)³ is decreasing, -

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Q: Find the extrema of f (x) = 2x3 − 15x2 + 24x + 7 on [0, 6].

A:

Q: For f(x)=3x2 +4x+5on the interval [-1, 1] estimate the area using 4 rectangles.  Do this with height…

A: The area of the function fx on the interval a,b using midpoints of the n rectangles is given by the…

Q: 24: Find the extreme points of the function f(x) = x + y ху On the circle x+y=2

A: We shall find out extreme points of the function in the next using the a equation of circle.

Q: Find the minimum value for p(x) = -x2 – 24x on the interval [-6,-1]. JUSTIFY YOUR ANSWER.

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Q: Find the interval of increase of p(x)=x2+5x+6

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Q: Find the maximum of f (x) = 1 − (x − 1)2/3 on [−1, 2].

A: To find the maximum value of fx=1-x-123 on interval -1,2. Solution: We need to find critical points…

Q: Consider the image attached of the graph of a function y = g(x) on the domain -8 <= x <= 8, which…

A: Label the points on the given graph as shown below.

Q: If a and b are positive numbers, find the maximum value of f(x) = x°(2 - x)b on the interval 0sx <…

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Q: For f(x)=3x2 +4x+5 on the interval [-1, 1] estimate the area using 4 rectangles.  Do this with…

A:

Q: Find the local extremum  f(x)=x3+3x2-9x+6

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