Find the area of the region bounded by the graph of f and the x-axis on the given interval. f(x) = x² - 20; [ – 2,4] The area is (Type an integer or a simplified fraction.)

Q: Determine the area of the given region. 1. Region between f(x) = x - 3x – 4 and the x-axis from x =-…

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Q: Let A be the area of the region that lies under the graph of f(x) =e -x  between x =0 and x =2

A: The diagrammatic representation of the area is,

Q: Find the area of the shaded region. f(x) = -x 3 + x 2 + 16x 30 20- (4, 16) (3, -12) g(x) - 4x -30…

A: Use area under curve

Q: Find the area of the shaded region. 1) f(x) = x3 + x2 - 6x %3D 30+ g(x) = 6x 20- (3, 18) 10+ (0:0)…

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

Q: a. Find the area below f(x) = -x² + 4x + 3 and above g(x) = -x³ + 7x2 – 10x + 5 over the interval 1…

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Q: Find area under the curve of this integral?

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Q: If R is the region between the graphs of the functions f(x) = 8x³ + 7x² + 28x + 6 and g(x) = 7x³ –…

A: Plot the curves f(x) and g(x) and find the region bounded by the curves over the interval [ -2,2].

Q: Find the area of the region. f(x)= (x-7)3 g(x)= x-7

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Q: Find the area (in square units) of the region under the graph of the fu f(x) = 2x + 8 %3D square…

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Q: Determine the area, in square units, of the region bounded by f(x)=10x3+x2−21x−9 and…

A: The region bounded by the curves, fx=10x3+x2-21x-9 and gx=9x3+x2-5x-9 over the interval [2,6].

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: Let f (x) = |x³ + 125| Find the area A of the region between the graph of f and the x axis on the…

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Q: Find the area of the region bounded by the graph of f(x) = 4 − x2, the x-axis, and the vertical…

A: Given curves: The graph is:

Q: Let f (x) = |x³ + 216|| Find the area A of the region between the graph of f and the x axis on the…

A: Let the function given is  f(x)=|x3+216|

Q: Find the area of the shaded region. f(x) = -x3 + x2 + 16x 30- 20- 4, 16) 10 g(x) = 4x %3D 6 X (3.-12

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Q: Let R be the region bounded by the functions f(x) = -2x² and g(x) = -8 as shown in the diagram…

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Q: Let R be the region bounded by the functions f(x) = –2x² and g(x) = -8 as shown in the diagram…

A: Given curve f(x)=-2x2  and g(x) = -8For intersection point    f(x) = g(x)so     -2x2 =-8        x2=4…

Q: f (x) = x² + x – 6 - 6

A: By using area bounded by curve formula, we calculate the required area.

Q: Determine the area, in square units, of the region bounded by g(x)=−7x−7 and f(x)=x2 −11x−28 over…

A: To calculate the area bounded between the curve g(x)=-7x-7 and f(x)=x2-11x-28 over the interval…

Q: find the area of the shaded region.  f(x) = x^4-8x^3+18x^2, g(x)= -25x+102

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Q: Find the area of the region bounded by the graph of f(x) = x3, the x-axis, and the vertical lines x…

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

Q: Find the area of the region bounded by the graph of g(x) = (x − 4)^4 and the x-axis between x = 2…

A: From the given curves

Q: Determine the area, in square units, bounded above by f(x)=−x2−8x and g(x)=3x+24 and bounded below…

A: Topic = Application of integration

Q: Find the area of the region between the graphs of f(x) = 3x + 8 and g(x) = x2 +2x +2 over [0, 2]…

A: according to graph area of shaded region can be written as given below A=∫02fx-gxdx

Q: Determine the area, in square units, of the region bounded by f(x) = 10x³ + x² - 21x - 9 an g(x) =…

A: To determine the area, in square units, of the region bounded by fx=10x3+x2-21x-9 and gx=9x3+x2-5x-9…

Q: Determine the area, in square units, of the region bounded by g(x)=−10x+11 and f(x)=x^2−5x−13 over…

A: Solve the following

Q: Find the area of the region enclosed by the graphs of f(x)=x²-10x and g(x)=6x 50-64

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Q: Find the area (in square units) of the region under the graph of the function f on the interval [-1,…

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Q: Determine the area of the given region. 3. Region between f(x) = x - 4x and g(x) = x.

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Q: Find the area of the region enclosed by the given graphs. a)f(x) =x^2+x-9 and g(x) = 3x-1 b)-x^2+…

A: Let us take two curves f(x) & g(x), then area of region enclosed between these curves is given…

Q: f(x) = -x^2 + x + 20 and g(x) = x^2 - 5x . Compute the area of the region enclosed  by the graphs of…

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Q: Find the area of the shaded region. f(x) = -x3 + x2 + 16x %3D 30+ 20+ (4, 16) 10+ -4 -2 4 6. х (-3,…

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Q: Find the area of the region enclosed between f(x)=0.2x^2+10, g(x)=x, x=−7, and x=2.

A: Given curve is: fx=0.2x2+10gx=xx=-7x=2 To find the area of the region enclosed between the curve.

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: Determine the area, in square units, bounded above by f(x)=−x2−10x−16 and g(x)=2x+16 and bounded…

A: Given: fx=-x2-10x-16gx=2x+16 We need to find the area bounded above by fx and gx and bounded below…

Q: Determine the area, in square units, bounded above by f(x)=−x^2−10x−16 and g(x)=2x+16 and bounded…

A: Given that fx=-x2-10x-16gx=2x + 16 The objective is to find the area of the region which is bounded…

Q: (b) Find the area of the region between the x-axis and the graph of f(x)=3x² – 3, where -2<xs2

A: The given graph is: fx=3x2-3, -2≤x≤2 The region is between this graph and x-axis.

Q: Let f (x) = |x3 + 216| Find the area A of the region between the graph of f and the x axis on the…

A: given area can be found as below :

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

A: Explanation and solutions is given below....

Q: Consider the graph of f (x) = –x² + 3x + 2. Estimate the area of the region bounded by the graph of…

A: Given  f(x) = -x^2+3x+2

Q: Find the area of the following region bounded by the graph of f(x) = (x - 5) and the x-axis between…

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Q: Let R be the region bounded by the functions f(x) = 2x2 – 8 and g(x) = -3x – 7 as shown in the…

A: The question is from the topic of applications of derivatives

Q: Find the area of the region enclosed between: f(x)=x^2+3x+16, g(x)=2x^2+x+1.

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Q: Find the area of the region between the curve and the​ x-axis. f(x)=1−x2​, from −3 to 3

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Q: Find the area, in square units, bounded above by f(x)=x2+4x+4 and g(x)=9x+54 and bounded below by…

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Q: Determine the area, in square units, of the region bounded by g(x)=6x+12 and f(x)=x2 +7x−8 over the…

A: We have to find the area under the curve of g(x), then substract the area under the curve of f(x).…

Q: Find the area, in square units, bounded above by f (x) = –x² + 10x – by the x-axis over the interval…

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Q: Find the area of the region lying under the graph of f(x) = √4 x from x = 1 to x = 16.

A: It is given that,                 f(x)=4x from x=1 to x=16We have to find the area of the region…

Q: Determine the area, in square units, of the region bounded by f(x)=−x2+21x−44 and g(x)=5x+19 over…

A: Determine the area, in square units, of the region bounded by f(x)=−x2+21x−44 and g(x)=5x+19 over…

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