Find the area of a region bounded above by two different functions Question Consider the region, R, bounded above by f(x) = x2 + 10x + 25 and g(x) = 9x + 81 and bounded below by the a-axis over the interval [-9, –5]. Find the area of R. Give an exact fraction, if necessary, for your answer and do not include units. Provide your answer below:

Q: A) The area of the region between the x-axis and the graph of the function shown below and the lines…

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Q: Find the area of a region bounded above by two Questrom different functions Find the area, in square…

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Q: 4x R is the region bounded by the functions f(x) = − ² + - +4-10 and 3 3 x² 10x 10 g(x) = - + Find…

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Q: finding the area of a region f(x) = 1/9x^2, y = 1, x = 1, x = 2 i got 1-1/9x^-2 Then what i got…

A: The given curves are: y=19x2, x=1, x=1, x=2

Q: Find the area of the region bounded by the graph of f(x) = sin x and the x-axis on the interval [-…

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Q: Find the area of a region bounded by two functions that Fresst Question Consider the region bounded…

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Q: Find the area of the region bounded by the graph of f(x) = sin x and the x-axis on the interval [-…

A: Please see the diagram below: the required area = Area ABC + Area CDE

Q: Find the area below f(x) = -x + 4x + 3 and above g(x) = -x' + 7x² – 10x + 5 over the interval 1 <x<…

A: f(x)=-x2+4x+3   and g(x)=-x3+7 x2-10x+5and area below f(x) and above g(x).1≤x ≤2

Q: Let f (x) = ex - 1 for 0 < x< 1. Find the area A of the region between the graph of f and the x axis…

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Q: oproximate the area under the graph of f(x) and above the x-axis with rectangles, using the…

A: Note- Since you have posted a question with multiple sub-parts, we will solve first three sub-parts…

Q: Find the area of the region under the graph of the function f on the interval [-8, -1]. f(z) = 3- E…

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Q: Let A1x2 be the area of the region bounded by the t-axis and the graph of y = ƒ1t2 from t = 0 to t =…

A: a).

Q: Find the area of the region enclosed by f(x) and the x-axis for the given function over the…

A: Given that f(x)=x2+x+2x&lt;!2x+2x≥1 To find the area of the function. The formula to find the area…

Q: Find the area of a region bounded between a linear fanction and apother function QUestion" Calculate…

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Q: Find the area of a region bounded above by two ifferent functions Question Determine the area, in…

A: To find the intersection point between two curve:

Q: ... y = x² + 2 x = -1 x = 2 The exact area of the region bounded by the graphs of y = x² + 2, and…

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Q: | the maximum and minimum values of h on the interval I = [0, n/6]. Then use the Comparison Property…

A: Given               h(t)= tan(t)     and    I=0, π6

Q: (1:: t) (x) Find the area of the region enclosed between f(x) = 0.2x² + 10, g(x) = x, x = -2, and x…

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Q: Find the area of a region bounded above by two different funstions Questrom Determine the area, in…

A: Here are two curve f(x) = -x2 + 6x - 5 and g(x) = x - 1   To find the intersection point between two…

Q: Find the area of the region enclosed by f(x) and the x-axis for the given function over the…

A: Use integration for finding the area under the given interval.

Q: ... y = x² + 2 x = -1 x = 2 The exact area of the region bounded by the graphs of y = x? + 2, and…

A: Area is given between curve and x-axis is by integration over given interval

Q: Find the area of a region bounded above by two Questron ifferent functions Find the area, in square…

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Q: Find the area of the region bounded below by the graph of each function and above by the x-axis…

A: The given function is f(x)=x2-9 To find: The area of the region bounded by the curvef(x)=x2-9  by…

Q: 1 Let f (x) and g(x) = . Find the area A of the region between the graphs of f and g on the interval…

A: Given that fx=1x , gx=1x2find the area of the region between the graphs of f and g on the interval…

Q: Find the area of a region bounded above by two different functions Question Find the area, in square…

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Q: 6) Calculate the area under the graph of the function f(x) =3x*+ 2x -1 between x =0 and X =1. Draw…

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Q: Find the area of the region R bounded by the graph of f and the x-axis on the given interval. Graph…

A: First we will graph the function approximately.  Area of the function f(x) =  Integration of f(x)…

Q: x) g(x) Find the area of the region enclosed between f(x) = 0.6x2 + 5, g(æ) = x, x = -5, and x = 4…

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Q: Find the area between the curve f(x) = x2 +11 and the x-axis from x = 3 to x = 7. The area is square…

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Q: Find the area of a region bounded above by two different functions Question Find the area, in square…

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Q: 6. Let a > 0 and let R be the region under the graph of f(x) '9 – ax and in the first quadrant. Find…

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Q: 6. The figure shows the areas of regions bounded by the graph of f and the x-axis. Use the graph to…

A: topic - definite integral

Q: Find the area of the region R bounded by the graphs of the functions. f(x)= x , g(x) 1 h(х) — 2.…

A: The graph is drawn using DESMOS graphing calculator.

Q: Let the region R be the area enclosed by the function f (x) = 2 ln (x) and g(x) = 2x – 4.Find the…

A: We have f(x)=2lnxg(x)=2x-4   If the bounded region between the graphs is revolved around y=-5, then…

Q: 1 and g(x) x2 Let f (x) Find the area A of the region between the graphs of f and g on the interval…

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Q: Find the area of the region bounded by the graph of f(x) = sin x and the x-axis on the interval [-…

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Q: Find area of the region under the graph of the function f on the interval [a,b] f(x)= e^x - x [1,2]

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Q: 1 and g(x) x2 Let f (x) Find the area A of the region between the graphs of f and g on the interval…

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Q: f(x) dx, where f is continuous. State whether the following are true or false: 2. Let / = (a) I is…

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Q: Find the area under the graph of the function over the interval given. f(x) = e*:(-4,2] The area is.…

A: Since you have asked multiple questions in single request so we will be answering only first…

Q: 16. Determine the area, in square units, bounded above by f(x)=−x2+2x+3 and g(x)=−x+3 and bounded…

A: Consider the planes

Q: x2 + 3x +4 x< 1 on [- 4,3] x21 f(x) = 4x + 4 ne area is ype an integer or a simplified fraction.)

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Q: Find the area of the region bounded by the graph of f and the xX-axis on the given interval. f(x)…

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Q: (a) Given the curve of y=x -x(x+3)(x-2)(x-5) i) Sketch the graph for -4<x<6 ii) Find the area of the…

A: Given curve y=110x(x+3)(x-2)(x-5) First we find point of intersection with X-axis, Therefore put y=0…

Q: a² +x and g(x) = 3x² – 3x. Find the area A of the bounded region between Let f(x) = the graphs of ƒ…

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Q: Find the area (in square units) of the region under the graph of the function f on the interval [−1,…

A: Given function is fx=2x+4 , -1,5

Q: The figure to the right shows the area of regions bounded by the graph of f and the x-axis. Evaluate…

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Q: 3. Here is part of the graph of different function f. We are interested in the area function A(x)…

A: Given: Area function A(x) between -100 to x horizontally.

Q: Find the area of the region bounded by the graph of f and the x-axis on the given interval. f(x) = x…

A: The region is bounded by f(x)=x2-20 and x-axis on the interval [0,4]

Q: g(x) = 2x2 − x − 1, [3, 5], 4 rectangles Use left and right endpoints and the given number of…

A: g(x)=2x2-x-1 Divided 3, 5 into n=4 sub-interval of length ∆x=5-34=12 with end points 3, 72, 4, 92, 5…