Find the area of the region bounded by the graphs of the given equations. Rou nd to 2 decimal places 6. f(x) x26x g(x) =x2

Q: 1. Find the area bounded by the parabola y=4ax, the x-axis, and the lines x=4a, x=9a.

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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: 18.Find the area bounded by the graph y = 30x – 3x² and the x – axis. %3D

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Q: What is the area (in square units) of the region bounded by the graphs of y=x²+2, and the x axis…

A: Area under the curve is given by integration over required interval

Q: (b). Find the area of the region enclosed by the graphs of f(x)=x² -x and g(x)=2x.

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Q: 4. Find the area of the region bounded by the graphs of f (x) = x³ +x2 – 6x and g(x) = 2x – x2 20 А.…

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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: The area of the region bounded by x - /9- y, the y-axis and the line x-y in the first quadrant is:…

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Q: Find the area of the region described in the following.   The region bounded by y = x2 - 2x + 1 and…

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Q: In the given question , find the area of the region bounded by the graphs of the equations:-   y = 1…

A: Given : The equations y = 1 - x4 , y = 0 .

Q: Let b 1 be an integer. The area of the region bounded by the graphs of the functions y = 20bx and y…

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Q: Find the area of the region bounded by the graphs ofy = x² - 4 and y =r+2. Give your answer as a…

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Q: x2 – 7x + 20 and Find the area of the region bounded by the graphs of the functions y = y = 2x + 6.…

A: Given, Functions  y =x2 -7x+20  and y =2x+6 We have to find the area of region bounded by the graphs…

Q: Suppose we want to know the area of a region that is bounded by the graph of F(X)=1/2x+2 and the…

A: Consider the given curves.

Q: Find the areas. of. the region k bounded by.the graphs of the given equations R .y=0,X=2. and. x=…

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Q: 2x Find the expression for the area under the curve of f (x) 1<x< 3 %3D x²+1'

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Q: 10. Find the area of the region bounded by the graph of x = y² – 4y – 5 and the y-axis.

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Q: Find area of region f(x)=x2+4x+4 g(x)=4x+13

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Q: y x-3' y = 0, x = 4, аnd x = 3 + e

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Q: Find the area of the region under the graph of f(x) = e−x/3 from x = 12 to x = 27.

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Q: Q4/a) Find the area of the region in the first quadrant bounded by the line 1 y=x, the line x-2, the…

A: The formula of integration is ∫xndx=xn+1n+1+C.

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

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Q: Q4 Find the area of the bounded by the curve and the x-axis. [2] S(x) = 4 – x²

A: Topic:- area under the curve

Q: f(x) = 3. 2. 14

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Q: Find the area of the region bounded by the equations below. For each problem, clearly sketch the…

A: Topic : application of integration

Q: The area of the region bounded by y-19-x, the x-axis and the line y-x in the first quadrant is: O…

A: Given: y=9-x2 y=0 y=x Calculation: Use an online graphing calculatora and obtaine the bounded region…

Q: Area of the region under the graphs? Integral related question

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Q: Find the area, if it exists, of the region between the curve and the x-axis on the given interval.…

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Q: Q3: Find the area bounded by: (S a) y = x² – 4 and y = -x² – 2x —x2 — 2х

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Find the area of the region under the graph of f on [a, b]. f(x) = x2 – 6x + 14; [-1, 2]

A: Given  function is  : f(x) = x2 - 6x + 14  ; [ -1, 2 ] Method to find area under the curve : The…

Q: Below is the graph of y = x² +5. 141 12- 10 -2 -1 8- 6- 4- 2 0 1 2 3 The area bounded by y = x² +5…

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Q: Find the area of the region bounded by the y-axis, the line x = 3, and the functions f(x) = 1/2 (x^2…

A: Consider the functions fx=12x2-3x+10 and gx=-13x-1 Find area of region bounded by the y-axis x=0 and…

Q: Consider the following equations. f(x) = - y = 0 X = -1 Sketch the region bounded by the graphs of…

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Q: 1. Find the area of the region bounded by the given curves. a) y = 2x° - x² - 5x + 4, y= - x² +3x…

A: We have to find the bounded area by curves

Q: y = x2-4r + 5 y y=x +5

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Q: (1) Find the area of the region bounded by the curves and draw an illustration y = x² and y = 6x-x².

A: The region bounded by the curves y=x2 and y=6x-x2 Note:    Multiple questions are given we are…

Q: Find the area of the region between the graphs of y = 15 – x² and y = - 3x + 5 over the interval 0 <…

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Q: nd the area of the region under the graph of f(r) = 2r² – 4x + 2 on [-2, 3].

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Q: If R is the region between the graphs of the functions f(x) = 4x + 9x2 + 7x – 3 and g(x) over the…

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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: Consider the following equations. x) - x5+5 g(x) - x+5 Sketch the region bounded by the graphs of…

A: We need to sketch the region bounded by the graphs of the above equations. The idea is to first plot…

Q: 1 2. Find the total area of the region between the curve and the x-axis. a. y=2-x; b. y= 3x-3;…

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Q: Q1: The area of the region bounded by the graph of y=-0.5x+4and y=3x in first quarter.

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Q: Below is the graph of y = a2 +5. 14 12 10 8- 6- 4- 2- -3 -2 -1 1 2 The area bounded by y = x2 +5 and…

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Q: Find the area between the y-axis and the graph X = -y + 5y – 4 on the interval [1, 4]. 3- 2- 54 3-2…

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Q: 2. Find the area bounded by y = 4x – x² and the x – axis. · Solve in two ways.

A: Solution:Giveny=4x-x2   and x-axisTo find the area of the bounded region.Formula:Area=∫abydx

Q: Find the area of the region bounded by the graphs of the given equations. b) f(x)=2x2-6x+5,g(x)=x2+…

A: See below the answer and calculation

Q: 9) find the area of the region enclosed by: x= y' and x=-3y' +36

A: From the given problem: x=y2 : x=-3y2+36   So, the bounded region is shown below:     Finding the…

Q: Shade the area of the region bounded by, x² + y? p Hence, find the area of the specified region…

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