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## Related Calculus Q&A

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

A: Given: The expression to calculate the area under the curve 'y=f(x)' and the x-axis between x=x1…

Q: Consider the region, R, bounded above by f(x)=x5^2−6x+9 and g(x)=−3x+27 and bounded below by the…

A: Click to see the answer

Q: Find the area of the region between the graphs of y = 16 – x² and y = - 3x – 24 over the interval –…

A: The objective is to find the area.

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.…

A: We use application of integration.

Q: 8. Find the area of the region bounded by the graphs of f (x) = 6x – x² and g(x) = x2 – 2x 64 А. В.…

A: Click to see the answer

Q: nits, of the region bounded above by f(x)=9x+5 and below by g(x)=8x−7 over the interval [7,32]. Do…

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Q: Consider the region bounded above by g(x)=6x+6 and below by f(x)=7x−7. Find the area, in square…

A: Given,

Q: Consider the region, R, bounded above by f(x)=x2+10x+25 and g(x)=9x+81 and bounded below by the…

A: Solution: The region R is

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

A: Click to see the answer

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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.

A: Click to see the answer

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Q: 3. Let g (x) = Find the area of the region bounded by y = g (x) and the x-axis for 0 < x < 5. 22+1

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Q: 3) Find the area of the region bounded by the graph of f(x) = (x - 5)2and the x-axis between x %3D…

A: Click to see the answer

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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…

A: Area bounded between f(x) and g(x) is given by ∫abf(x)-g(x)dx, if f(x) > g(x) in the interval a…

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Q: Find the area of the region bounded by the graphs of the algebraic functions. f(x)=x^2-14x g(x)=0

A: SOLUTION-

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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…

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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 of the region between v= 4x - x2 and the x-axis from x = 0 to x = 4. 11 square units O…

A: Area of region can be determined using the formula given as A = ∫ba y dx ........(1)…

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Q: Consider the region, R, bounded above by f(x) = x² – 6x + 9 and g(x) over the interval 3,9. Find the…

A: Consider the given information,

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Q: 1. find the exact area of the region that lies beneath the curve y = 6x-4 , 1 </= x </= 6. 2. Find…

A: y = 6x-4given interval 1≤x≤6 Area of the region =∫abupper function - lower function dx we need to…

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Q: Find the area of the region bounded by f(x)=-x^2+1, g(x)=2x+4, x=-1, and x=-2.

A: Click to see the answer

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Q: f(x) = x3 + x2 − 2x and g(x) = 0 Find the area of the region completely enclosed by the graphs of…

A: sketch the region:

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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…

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Q: a² +x and g(x) = 3x² – 3x. Find the area A of the bounded region between Let f(x) = the graphs of ƒ…

A: Click to see the answer

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Q: Use the Midpoint Rule with n = 4 to approximate the area of the region bounded by the graph of f and…

A: Click to see the answer

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Q: If R is the region bounded above by the graph of the function f(x): = x + 4 and below by the graph…

A: Click to see the answer

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

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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.

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Q: Say the function g(x) = ;x + 2. Approximate the area bounded by the graph of y = g(x) and the x axis…

A: Click to see the answer

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Q: Find the area of the region under the graph of f(x) = eX2 from x = 8 to x = 12. O e-6(e? - 1) ㅇ 글et…

A: Click to see the answer

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Q: Find the area of the region enclosed by the graphs of f and g. f(x) = 6 ln x and g(x) = x ln x, x ≥…

A: Given: f(x)=6lnx g(x)=xlnx

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Q: Find the area of the region between the graph of f (x) = x* – 3x² +8 and the closed interval [-1,…

A: Click to see the answer

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Q: Find the area of the region between v= 4x- x2 and the x-axis from x = 0 to x = 4. 32 square units 64…

A: Click to see the answer

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Q: The area of the region bounded by the graphs of f(r) 2– a and g(x)=r is A-

A: Here we will find out the required value

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Q: Consider the following functions. f(x) : Vx - 3 = g(x) = x – 3 Sketch the region bounded by the…

A: Click to see the answer

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Q: (#2) Find the area between: f(x) = - 2x2 + 4x and g(x) =x +1 %3D

A: Click to see the answer

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Q: The graphs of the functions f (x)= /x– 4, g(x)=-x+2, and y=2 are shown in the figure. y \3+ f(x) =…

A: Click to see the answer

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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…

A: Click to see the answer

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Q: elow is the graph of y=x 2+5. The area bounded by y=x 2+5 and the xaxis from x=-3 to x=5 is

A: Click to see the answer

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Q: Consider the following functions. f(x) = Vx - 3 g(x) = x - 3 Sketch the region bounded by the graphs…

A: Find the Area of the Bound region using the properties definite integral

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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.…

A: Click to see the answer

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Q: Estimate the area under the graph of f(x) = between x =1 and x = 7 using the midpoint rule" with two…

A: According to the mid-point rule, we divide the interval into n sub-intervals and consider the height…

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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: given area can be found as below :

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

A: Click to see the answer

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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.

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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].

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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…

A: Click to see the answer

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Q: Find the area of the following regions.The region bounded by the graph of ƒ(x) =x/√(x2 - 9) and…

A: Given: The region is bounded by the graph of f(x)=xx2-9 and the x- axis between x=4 and x=5.

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Q: Find the area enclosed between f(x )= 0.8x^2 + 9 and g(x) = x from x = −2 to x = 4

A: Click to see the answer

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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…

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

A: Click to see the answer