Approximate the area under the curve over the specified interval by using the indicated number of subintervals (or rectangles) and evaluating the function at the right-hand endpoints of the subintervals. (See Example 1.) f(x) = 8x – x² from x = 1 to x = 3; 2 subintervals 34

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

A: The given function is f(x)=1x+3 from the point x=1 to x=9 and n=4

Q: Use the Midpoint Rule with  n = 4  to approximate the area of the region bounded by the graph of…

A: Given:    Approximate using mid point rule:∫04x2+4x dx ,  n=4

Q: 1. Find the area in the first quadrant bounded by f(x)=4x-x^2 and the x-axis. f(x) = 4x-x² 3 2 3 1 2…

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Q: 1. Find the area in the first quadrant bounded by f (x) = 4x – x² and the x-axis.

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Q: Find the area under the graph of y = -x² AL 54 3-2 -11° 1 2 3 4 5 X 4x on the interval [-4, -2].

A: We will solve the required.

Q: 1. Find the area between the curve f(x)=√x and g(x) = x³.

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Q: Use the Midpoint Rule with n = 4 to approximate the area of the region bounded by the graph of the…

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

A: In this Question I we taking the endpoint mid point and finding values

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…

Q: A sum is used to approximate the area under the curve of f(x) = x² + 2x + 10 %3D on the interval…

A: The interval [-1,8] is divided into three sub intervals. Therefore length of each interval=8-(-1)3=3…

Q: (a) Estimate the area under the graph of f(x) = 6 + 2x from x = -1 to x = 2 using three rectangles…

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Q: Approximate the area under the graph of f(x) and above the x-axis using n rectangles. f(x)=25-x2…

A: f(x)=25 - x2 from a=-5 to b=5; n=2; use midpoints.  Width = Δx = (b - a) / n = (5 - (-5)) / 2 = 5

Q: Find the area of the region between the curve and the x-axis. In 4 3x f(x) = e - 4 from 0 to 3

A: By using area formula, we calculate the required area of the region.

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

A: Since you have posted multiple subparts question in this question so I have solved first three…

Q: Find the area between the graph of f (x) = x² – 2x and the x-axis from x = -1 to x =

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Q: Consider the following. f(x) = 12x - x2 from x = 0 to x = 6; 2 subintervals (a) Approximate the area…

A: The area under the curve f(x)=12x-x2 from x=0 to x=6 is defined by ∫06fxdx. The number of…

Q: Find the area under the graph of f(x) = 3x2, above the x-axis, and between x = 0 and x = 2.

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Q: The graph of a function g is given. a = 6 a a

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Q: 1) Find -x° +7x- 10x +3 over the interval 1s XŹ2 (Drow and illustrate the graph). the area below f…

A: Here we will find area above f(x) and below g(x),

Q: -5 -3 7 015 8 11 5 a) Given the values for f(x) on the table above, approximate the area under the…

A: Consider the given: n=4a) Left end pointsArea = ∑i=1nfxiΔxi

Q: To estimate the area A under the graph f(x) from x-0 to x=4 using n approximating rectangles and…

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Q: Consider the following. f(x) = 12x - x2 from x = 0 to x = 6; 2 subintervals (a) Approximate the area…

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Q: c) [ 1: Estimate the area under the graph of f(x) = x² - 1 from x = 1 to x = 3 using four…

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Q: 4. Find the area under the curve y= 1 for x24if it, exists. Make sure you show all x' -9x your…

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Q: 1 75. Find the area of the region bounded by the curve f(x) = (16 + x²)-3/2 and the x-axis on the…

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Q: 2. Find the area between the graphs of the functions f(x) = 8 – 2a2 and 9(x) = 4 – x? over the…

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Q: Find the area of the region under the graph of the following function. f(x) 5xe from x = 1 to x = 7

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Q: approximate the area under the graph of f(x) and above the x-axis using the left, right, and…

A: f(x) = 3x + 2 from  x=1  to  x=3; n = 4dx = Width of each rectangle = (3 - 1) / n = 2 /4 = 0.50

Q: Approximate the area under the graph of​ f(x) and above the​ x-axis using n rectangles. f(x)=6/x…

A: The width of the interval [2, 10] is = 10-2=8 There are 4 partitions. So the width of each…

Q: 1. a) Find the area of the region lying between f(x) = x^2 − 3x + 2 and x − axis between x= 2 and x…

A: Therefore here area is given by definite integral   Area = ∫x=2x=4f(x)dx ⇒Area = ∫x=2x=4(x2 - 3x + 2…

Q: 1. a) Approximate the area under the graph of f(x)=} from x=1 to x=5 using the right endpoints of…

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Q: 3. Find the area between the graph of f (x) = x² – 2x and the x-axis from x = -1 to x = 1

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Q: Approximate the area under the graph of f(x) and above the x axis using n rectangles. F(x)= 4/x from…

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Q: (a) Estimate the area under the graph of f(x) = 5/x from x = 0 to x = 4 using four approximating…

A: Given function is  We divide the interval [0,4] into four sub-intervals and length of each…

Q: 9) Given the function f(x)=-x+4 , find the net signed area between f (x) and the x-axis over the…

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Q: 1. Find the area in the first quadrant bounded by f (x) = 4x- x and the x-axis.

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

Q: Consider the following. f(x) = 4x - x2 from x = 0 to x = 2; 2 subintervals (a) Approximate the area…

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

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Q: Approximate the area under the curve over the specified interval by using the indicated number of…

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Q: 3 Find the area under the curve y over the interval [3, 8] (4x + 2)?

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Q: For F(x)= 3+3x-2x^2 A. Sketch the graph and the rectangles from x=0 to x=2 using n=4 and right…

A: The given function is:…

Q: 53. Sketch the region under the graph of f(x) = 1+x2 for -00 < x < 00, and show that its area is I.

A: To sketch the region under the given graph and show that the area is π.

Q: Consider the following. f(x) = 8x - x2 from x = 0 to x = 4; 2 subintervals (a) Approximate the area…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Approximate the area under the graph of​ f(x) and above the​ x-axis using n rectangles.   f(x)=2x+3…

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Q: 4. Find the area of the region that lies under the graph of f over the given interval. a. f(x) = 2 -…

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Q: - Use the midpoint sum formula to calculate the area under the curve f(x) = x³ from x=0 to x-12…

A: Here h = b-an = 12-04 = 3

Q: Find the area under the graph of the function f(x)=xe^(−x^2) between x=0 and x=5.

A: We first sketch the region using a graphing calculator.

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…

Q: Find the area between the curves f(x) = x^2 - 4x +12 and g(x) = x^2 - 2x + 2  for 0 ≤ x ≤ 3

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