Consider the following equations. f(y)  =  y2 g(y)  =  y + 12 Sketch and shade the region bounded by the graphs of the functions. Find the area of the region.

Q: f(x) = 4x1/3 + x4/3 Find the area of the region bounded by the graph of the function f and the…

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Q: Find the area bounded by the graphs of the indicated equations over the given interval. y = - 4x +…

A: Area bounded by the curves  y = -4x + 12 and y = 20 where x is in between -1 to 2

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: A new auditorium is built with a foundation in the shape of one-fourth of a circle of radius 50…

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Q: In the given question , find the area of the region bounded by the graphs of the equations. y = -x2…

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Q: Find the area of the shaded region. Ay y =x - 2x3 y = 0 -1 2 -1- square units 2.

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Q: Find the total area between the region and the x- axis. y = x3 – 3x? + 2x -1 sxs2

A: Consider the curves, y=x3-3x2+2x  ;       -1≤x≤2

Q: (b) Find the total areas of the shaded region. y = x} y = -2x4 2.

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Q: A y y = x2 + 1 y = x -1 2

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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: X = -y A y 2Fx = 2- y² -2

A: Recall: Formula Area=∫abf(y)-g(y)dy  We have,  f(y)=2-y2, g(y)=-y

Q: A new auditorium is built with a foundation in the shape of one-fourth of a circle of radius 50…

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Q: Find the area between the two equations: f(x) = 4 and g(x) = x²

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Q: Consider the following equations. x = y2 + 5, x = y + 7 Sketch the region bounded by the graphs of…

A: To find the area of the region for the curve x=y2+5 and the line x=y+7

Q: Find the area of the shaded region.

A: Given the polar curve r=θ

Q: Q2/ Find the total area between the curve y = -x² – 2x and the X-axis.

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

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

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Q: Find the area of the region below y = x² – 2x + 5 and above y 3 for 2 < a < 5.

A: To find area under the curve Shown below in shaded part

Q: Consider the following equations. f(y)  =  y2 + 8 g(y)  =  0 y  =  −1 y  =  2 Sketch and shade the…

A: we have to find the area under the curves f(y)=y2+8, g(y)=0,y=-1 and y=2 the formula used to find…

Q: Find the area between the graphs of the equations: y^2 = 4x x^2 = 4y

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Q: Find the area of the shaded region. yA y = -x2 + 4x y = x2 - 2x

A: We have the given curves as y=-x2+4x        ⋯⋯1y=x2-2x            ⋯⋯2 On solving the equation (1)…

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

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Q: Find the area of the shaded region. y = x2 - 4x + 3 yx-1 3

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Q: Find the area of the region enclosed by the graphs of the given equations by partitioning the…

A: Given: y=x, y=x3, about x-axis

Q: walk through this problem

A: Let's understand the area enclosed. Please see the diagram below: f(x) = x2 / 2 + 1; g(x) = x2 / 2 +…

Q: Find the area of the region bounded by the graphs of y2 = 5 – x and y2 = 4x.

A: Given y2=5-xy2=4x

Q: Q1: Find the area of the region between the x-axis and the graph of y = x' - 3x² +2x, where 0<x<2

A: Draw the graph and integrate with proper limits to get the area under the curve.

Q: The area of the region between the graph of y 4z+2 and the x-axis fromx=1 to x 2 is 36 B 23 C 20 D…

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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: y = 2x and y = 2x^2 − 4 , find its area.

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Q: Find the area of the shaded region. y = -x3 + x2 + 16x and y = 4x %3D 30 254 20 IS 104 y 4x 20 25 30…

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Q: Find the area of the shaded region. x = y² - 4 -2 y 3 -3 y = 1 x = e² 2 y = -1 4 X

A: Given graph:-

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: c) Find the area between: y = 2x + 3 and y = -x² + 10x – 9 %3D

A: We first sketch the region using a graphing calculator The functions intersect at x=2 and x=6

Q: Find the equation of the curve y(x) such that the area below the curve, A₂, and the area between the…

A: Consider the given information, Area under the curve A2=∫0xydx. Let yx=c for fixed x so get,…

Q: y = x(x2 – 4)

A: We have to find the area of the shaded region.

Q: A new auditorium is built with a foundation in the shape of one-fourth of a circle of radius 50…

A: It is given that radius of circle is 50 feet.  The equation of the region is x2+y2=502; x≥0 and y≥0.…

Q: (b) Find the area of the region between the x-axis and the graph of f(x)=3x² - 3, where -2<x<2

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Q: Consider the following equations. Y= (1)/ (x2 + 1), y=0, x= -1, x= 1 Sketch the region bounded by…

A: Here given curve is Y = 1/(x2 + 1) Y = 0 X = -1 X = 1

Q: Find the area of the region bounded by the graphs of the equations: f (x) = V5x – 10 g (x) = 2x – 4…

A: Area bounded by the graphs f(x)=5x-10 and g(x)=2x-4

Q: Use a change of variables to find the area of the curved rectangle above the x-axis bounded by…

A: Given,Area bounded by:y24-1≤x≤4-y216 , y264-16≤x≤9-y236 , x≥0

Q: Q1: Find the area of the region between the x-axis and the graph of y =x' - 3x +2x, where 0sx<2

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Q: Consider the following equations. f(y) = y2 g(y) = y + 2 Sketch and shade the region bounded by the…

A: We have to find the area of the enclosed portion.

Q: The area bounded by the curve Y 4x and the lines x 6 and a 14 above the x axis is O 640.00 square…

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Q: Find the area of the shaded region below. y 4 x= y² -2 y = 1 x= e" y=-1

A: Given

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: 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: Find the area A of the region between the graphs of the equations y2 x2 = 5x 5y = A = symbolic…

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Q: y1=x2+2x+1 y2 =2x+5 Find the area of shaded region

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