Find the area of the region bounded by the graph of f and the x-axis on the given interval. f(x) = x? - 45; [2,4] The area is. (Type an integer or a simplified fraction.)

Q: Find the area of the region enclosed between f(x)=x^2−2x+4 and g(x)=2x^2−3x−2.

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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: Find the extreme values of ƒ(x) = x3 - 3x2 and find the area of the region enclosed by the graph of…

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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: Find the area of the region under the graph of the function f on the interval [4, 11]. f(x) = 2x - 2…

A: use integral to evaluate the are bounded by curve over the interval

Q: Find the area of the shaded region. f(x) = 20x +x -x. g(x) D0 -44- The area is (Type an integer or a…

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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: Estimate the area between the x-axis and the graph of f(x)=9−x2f(x)=9-x2 over the interval…

A: We will use rectangle's formula to evaluate the area of curve

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

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

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Q: find the area of the region under the graph of the function f on the interval [4,10]  f(x) = 8x - 5…

A: Area of trapezium

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: Q2) A) Graph the curve Y = x (x +5)(x-3) between the value of x [-5, 3], then find the area of the…

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Q: Find the area of the region under the graph of the function f on the interval [0, 9]. f(x) = 9x -…

A: given  f(x)=ax-x2Requirid area , A= ∫0qf(x) dx A=∫0q(qx-x2) dx  = ∫0qqx - ∫0qx2dx

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 under the graph of f on [a, b]. f(x) = x² - 6x + 13; [−1, 2]

A: To find the area of the region under the graph of f(x)=x2-6x+12 on the interval [-1,2].

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: The area of the region between the x-axis and the graph of the f(x) = x3 - x2 - 2x,-1 <x<2 is : %3D…

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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: 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) &amp; g(x), then area of region enclosed between these curves is given…

Q: Determine the area of the region bounded by the given function, the x-axis, and the given vertical…

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Q: Find the area of the region enclosed by f(x) = a – 2x² and g(x) = a = 2².

A: Please see the answer in Step 2

Q: What is the area of the region enclosed by the graphs of f and g? 1 f(x): 1+ x2 g(x) = x?. - 3

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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: f (x) = x – 2x – 3

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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: What is the area of the region between the graphs of g(x)=x-x² from x=-6 f x)=8x+6 and to x=-1 ? 125…

A: Given region bounded by the curve fx=8x+6   and   gx=x-x2    from   x=-6  to x=-1

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

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Q: Find the area of the region under the graph of the function f on the interval [-2, 1]. f(x) = -x2 +…

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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: Let R be the region bounded by the functions f (x) = -4x2 as shown in the diagram below. Find the…

A: Formula for area

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: Find the Area below f(x) = -x? + 4x +3 and above g(x) = -x +7x² – 10x + 5 over the interval 1šx52.

A: The given two curves are  f(x) = y = - x2 + 4x + 3 g(x) = y = -x3 + 7x2 -10x +5

Q: Find the area of the region between the x-axis and the graph of f (x)= x' – 4.x² + 3x, Osxs2. .

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Q: Find the area, in square units, bounded above by f(x)=x2+8x+16 and g(x)=x+10 and bounded below by…

A: The given functions are fx=x2+8x+16 and gx=x+10 .

Q: Find the area of the shaded region. f(x) = x* – 8x° +21x, g(x) = - 14x+ 136

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Q: Find the area of the region under the graph of the function f on the interval [4, 5]. 9 f(x) = -2²/2…

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Q: 5. Find the area of the region that is enclosed by the graphs of the functions: y=-x? - 3x + 4 and…

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

A: See below the answer and calculation