Find the area of a region bounded above by two different functions Question Find the area, in square units, bounded above by f(x) = x² + 2x +1 and g(x) = 2x + 10 and bounded below by the r- axis over the interval [-5, –1]. 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: (a) Estimate the area under the graph of f(x) = 1/x from x = 1 to x = 5 using four approximating…

A: Width of the interval [1,5] is 5-1=4n=number of subintervals=4 So the width of each…

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Q: *5. Approximate the area under the graph of f(x) and above the x-axis with rectangles, using the…

A: We need to use the approximated formula of area of the respective methods.

Q: R is the region bounded above by the function f(x) = x/4 + 4 and below by the function g(x) = −2x/3…

A: Given, f(x) = x4 + 4  and g(x) = −2x3 − 4 The region R in interval of 1,4.

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: 12. The graph of f(x) : 1 is given below. 1+x² 2 Determine the area between the graph of f and the…

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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: 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: 3. Approximate the area under the graph of f(x) and above the x-axis with rectangles, using the…

A: Given function is f(x)=8-x2.

Q: (a) Estimate the area under the graph of f(x) = 4/x from x = 1 to x = 5 using four approximating…

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Q: Consider the region below ​f( x )=​( 6 −​ x ),above the​ x-axis, and between x = 0 and x = 6 . Let…

A: Consider the region below fx=6-x, above the x-axis,and between x=0and x=6.Let xi be the mid-point of…

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: Determine the area, in square units, bounded above by f(r) = x2 + 10x + 25 and g(x) = -x +1 and…

A: Topic = Area The area is 323.

Q: Let the region R be the area enclosed by the function f(x) = 2 ln (x) and g(x) = 4x – 5.Find the…

A: We shall use the method of washer. If a region bounded between two curves is rotated around an…

Q: Find the area of the following region, expressing your result in terms of the positive integer n 2…

A: Obtain the limits of the integral by equating the functions as follows.

Q: Let the region R be the area enclosed by the function f (x) = ln (x)+1 and g(x) = x – 1. If the…

A: The solid is a semi-circle perpendicular to the x-axis. Visualize the region.

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

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Q: f(x)=-x2+5x and g(x)= 3x-3 Find the area of the region completely enclosed by the graphs of the…

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Q: a) Estimate the area under the graph of  f(x) = 7 + 4x2 from x = −1 to x = 2  using three…

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Q: R is the region bounded by the functions f(x) = 3x² + 27x + 54 and g(x) = -3²-22-27. Find the area A…

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

A: We will find intersecting point and then draw region bounded by graphs . Then by integration find…

Q: Consider the region below f(x) = x/2, above the x-axis, and between x = 0 and x = 4. Let x, be the…

A: Given the function f(x) = x/2 above the x- axis now x =0 and x =4 are given  so the interval is…

Q: rea of the region between the graphs of f(x) = 11x + 8 and g(x) = x? + 2x + 2 over [0, 2]. polic…

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Q: Approximate the area of the region under the graph of the function f on the interval [1, 3] using…

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

Q: Find the area (in square units) of the region under the graph of the function fon the interval [7,…

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Q: Find the area, in square units, bounded above by f(x) = x²+2x+1 and g(x) = 2x + 10 and bounded below…

A: First we identify the region which we need to find we have f(x)=x2+2x+1,  g(x)=2x+10 area is above…

Q: Find the approximate area under the curve of the given equation by dividing the indicated intervals…

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Q: The function f(x) = x² – 8x + 12 is positive on (0, 2) and (6, 10) and negative on (2, 6). Find the…

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Q: R is the region bounded above by the function f(x) = −3x/4 + 7 and below by the function g(x) = −x/2…

A: Given are the functions f(x) = −3x4 + 7 g(x) = −x2 + 2 The objective is to graph the region in the…

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: Find the area of the region bounded below by the graph of f and above by the x-axis from  x = 0  to…

A: Given,             fx=14x-x         Area=∫0160-fx dx                =∫016 0-14x+xdx…

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

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

A: To find the area over [-9,-5]. We shall first need to find where the 2 lines f(x) and g(x)…

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

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Q: 26. Given two functions, find the area between the two curves, where you will need to algebraically…

A: (a)Firstly, we will draw graph

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: Approximate the area of the region under the graph of the function f on the interval [1, 3] using…

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Q: Let the region R be the area enclosed by the function f(x) = ln(x) + 1 and g(x) = 3/4 * x - 1 If the…

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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 a region bounded above by two different funstions Questions Determine the area, in…

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Q: Find area of the region under the graph of the function f on interval [a,b] f(x)= sqrt(x-2) [11,27]

A: The function is given by fx = x-2 The interval is 11, 27 To evaluate : The area under the graph of…

Q: 2. Write the given (total) area as an integral a. The area above the x axis and below y = 4-x2 Ne -…

A: Since, the student has mentioned to solve only question number 2, so we are solving accordingly only…

Q: g(x) Find the area of the region enclosed between f(x) = 0.9x² + 6, g(x) = x, r = -8, and a 4 %3D…

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Q: f(x) = 8x − x2 from x = 0 to x = 4; 2 subintervals a) Approximate the area under the curve over the…

A: Given f(x) = 8x − x2 from x = 0 to x = 4; 2 subintervals To Find: a. the area under the curve over…