(-x if x < 0 Let f (x) = {2 if x 2 0 Using (1) and (2) in Section 5.2, along with the Addition Property, find the area A of the region between the graph of f and the x axis on [-1, 1]. A =

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: 6x 3x The bounded region between the graphs of f(x) and g(x) has area 5 x2 +1

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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: Given - Region bounded by functions To find - Area of the region

Q: Find the area of the region between the graphs of the functions f(x) = -Vx and g(x) = 2 - x on [3,…

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Q: Find the area (in square units) of the region under the graph of the function f on the interval [0,…

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Q: Find the area of the region under the graph of the function f on the interval [5, 11]. f(x) = 4x - 6…

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Q: Find the area of the region under the graph of f(x) = ln(x) from x = 3 to x = 11.

A: Given function : f(x) = ln(x) To find the area of the region from x=3 to x=11 To find the area of…

Q: the area of the region under the graph of f on [a, b]. f(x) =  7 x2

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Q: Find the area A of the region R between the graph of f(x)= (x^2)/(4-x^2)^(1/2) and the x-axis on the…

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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: 1. Find the area in the first quadrant bounded by f (x) = 4x - x and the x-axis. %3D

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Q: 65. The region bounded by f(x) = x² and the x-axis on the interval [1, 0) is revolved about the…

A: We have to find the volume of the described solid of revolution.

Q: Find the area under the graph off over the interval [1,4]. x+7, for x ≤2 f(x) = 11-x, for x>2 The…

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Q: -x if x < 0 Let f (x) = { if x 2 0 Using (1) and (2) in Section 5.2, along with the Addition…

A: We have to find the area of the region bounded by the graph of f(x) and the x-axis on -1,1.…

Q: The graphs of f(x) = x and g(x) = ax2 intersect at the points (0, 0) and         (1/a, 1/a). Find a…

A: The graphs of f(x) = x and g(x) = ax2 intersect at the points (0, 0) and  (1/a, 1/a).

Q: 1. Find the area under the curve y = x² from x = 1 to x = 3. -y-x² (1,1) x-1 (3,9) x-3

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Q: 2. Find the area under the curve y = x² from x = 0 to x = 3. -y-x² (1,1) x-1 (3,9) x-3

A: Solved below.

Q: 1. Find the area under the curve y = x´ from x = 1 to x = 3. -y-x² (1,1) x-1 (3,9) x-3

A: I am attaching image so that you understand each and every step.

Q: 5. Find the area of the region bounded by the graphs of f (x) = 2 - x2 and g(x) = x.

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Q: Find the area of the region bounded by f(x) = x2 and g(x) = x3 on [−2,4]

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Q: Find the area (in square units) of the region under the graph of the function f on the interval [5,…

A: Area=∫abf(x)dx

Q: Find the area under the graph of y = g(x) from -3 to 6, where x², x 2

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Q: Let f(x) = - 2x ^ 3 + 6x ^ 2 - x + 1 Use to estimate the area under the curve on L 1 the interval [-…

A: Using Riemann right end points sum, then limits

Q: EXAMPLE 2 For the region under f(x) = 2x on [0, 2], show that the sum of the areas of the upper…

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Q: 1. Find the area of the region bounded by f(x) = x, the x-axis, and the vertical lines x = 0 and x…

A: Given: 1.f(x)=x3  x=0 and x=1

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

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Q: 5. (Section 4.2) Use 4 equally sized subintervals to approximate the area under the graph of 1. f(x)…

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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: Find the area under the curve? Integral-related question

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Q: Example 3.10: Find the area of the region between the x-axis and the granh of f(x) = x – x –- 2x,-1<…

A: We have to find the area of the region between the x-axis and the graph of fx=x3-x2-2x, -1≤x≤2.

Q: 1. Graph the function f (x) = x² - 1 and show by shading the area under this curve between x = 1 and…

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Q: Find the area of the region between the graphs of the functions f(x) = -/x and g(x) = 2 – x on [3,5]

A: Given :

Q: Find the area of the shaded region. 160 A. f(x) = - x +x² + 16x g(x) = 4x 3 343 B. 40- 12 30- 20-…

A: The graph of function f(x) and g(x) is given We need to find area of shaded region

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: Find the area of the region bounded by thegraph of ƒ and the x-axis on the given interval.Ƒ(x) = x2…

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Q: The region bounded by f(x) = tan x and the x-axis on the interval [0, 7/2) is revolved about the…

A: Volumes of Solids of Revolution: - Revolving the region bordered by y = f(x) and the x-axis on the…

Q: find the area of the region under the graph of the function f on the interval [0,3] f(x) = 3x-x^2

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Q: find the area of the region under the graph of f on [a,b] f(x) = x^2 -8x +18 ; [-1 , 2 ]

A: The area under the curve is given by:

Q: Find the area of the region enclosed between f (x) = 0.1x2 + 4, g(x) = x, x = -8, and x = 4

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Q: Find the area under the curve of y=-+x+5 from x=-1 to x -4 with n-5 right endpoint rectangles. O 18…

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Q: Find the area of the region R under the graph f (x) = x^2 on [0, 1]

A: Find the area of the region R under the graph f (x) = x2 on [0, 1] .

Q: 1.5: The area of the region enclosed by the graph of f(x) = -√x and the x- axis on the interval [0,…

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Q: Find the area under the graph of y = g(x) from -2 to 5, where x³, 4 – x, x 1 -

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Q: 5. Find the area bounded by the graphs of f(x) = x2 – 3x – 10 and g(x) = x + 2 %3D -

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Q: Use the Fundamental Theorem of Calculus, Part I to find the area of the region under the graph of…

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Q: 1. Find the exact area between the curve f (x) = 9 – x², the x-axis, and x=-3 and x=3.

A: As mentioned, use the sigma formula to find the area A. Plot the curves. Divide the area between the…

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: Find the area under the curve f(x)=x3f(x)=x3 on x=[−2.5,3.5]x=[-2.5,3.5] using the Midpoint Rule…

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Q: -. Find the area of the region between f(x) = 1-x² and g(x) = x + 3 on the interval [-2,2] 0 2

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Average

In mathematics, everyone must have heard the term average in one place or other. Almost all types of calculation require taking out an average. In everyday life, the term is used for denoting a certain amount that can be said to be a typical quantity for multiple people or objects. In other words, if a group of people possesses a certain object, then the average gives us an idea regarding the quantity of the object possessed by each person. However, this is solely based on mathematical calculation. It is important to note that most people will not strictly have the average value in a group.