1.) Use the midpoint approximation method to find the area under the curve fx) = 1 - x^2over the interval [-1, 1].

Q: Compute the rotated area bounded by y = 2x, x = 2 and x-axis about x-axis

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Q: Find the area bounded by the curve y=4x-x² and the lines x=-2 and y=4.

A: See below

Q: 2 to a = 7 using a Left Endpoint approximation with 5 Approximate the area under the curve graphed…

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Q: Find the area under the curve f(x) = 2x* from x = - 3 to x = 2. Area %3D

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Q: 8. Find the area bounded by x² – 6x + y = 0, - x² – 2x – y = 0, and the x – axis.

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Q: (a) Express the area under the curve y = x 5  from 0 to 2 asa limit.

A: Given

Q: 6. Find the area bounded by the curve 2y² + 4x + y = 0 and the line y = 2x.

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Q: Sketch the graph the integrands and use areas to evaluate the integrals. | Ix| dx -2

A: Follow the procedure given below.

Q: What is the area bounded by the curve x^2 = -9y and the line y + 1 = 0?

A: Solution:Givenx2=-9yy+1=0To find the area bounded by the curveFormula:Area=∫abf(x)-g(x)dx

Q: Estimate the area between the curve y = x^2 - 2x + 5 and the x-axis between x = 0 and x = 3 using 6…

A: Given, y=x2-2x+5 Here, a=0, b=3 and n=6 Therefore, ∆x=b-an3-06=12=0.5 Therefore the intervals are,…

Q: Find the area between the curve f(x) =sinx and g(x) = cosx over the interval x=-2 and x=5

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Q: . Find the area bounded between the curves 5x-y x2 and y = 3x + x²

A: We have the given the curves y=5x-x2 and y=3x+x2 We have to find the area bounded by this two given…

Q: Find the area bounded by the curve y = 4x over the square root of (1 - 2x) and lines y = 0, x = -4…

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Q: d) Use the right endpoint rule to approximate the area under the curve of f(x) = 4- x2 on [1,2]…

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Q: What is the area bounded by the curve x² = -9y and the line y + 1 = 0?

A: Given curve is x2=-9y Line is y+1=0 We need to find the area bounded by the curve

Q: Find the line y=mx that divides the area under the curve y=x(1-x) over [0,1] into two regions of…

A: Given,           The line y = mx that divides the area under the curve y = x(1-x) over [0,1] into…

Q: 1 over the interval (1, 5 using five approximating Estimate the area under the graph of f(x): x + 1…

A: Given function is fx=1x+1 over the interval 1,5. We have to estimate the area under the graph…

Q: Find the area between the curve y = 4 – x² and the line y = -x + 2.

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Q: use the limit of the Riemann Sum to find exacct area under the curve. fCx) = 4 x [2,5]

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Q: Compute the area bounded by the curve x=y²-2y and the line x-y-4-0₁

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Q: Find the area of the region bounded by one loop of the curve y"(1 - у?)

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Q: 7. Find the area bounded by the curve y = 4x - x^2 and the lines x = 0 and y = 4.

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Q: y = 3x2 from x = 1 to x = 2.

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Q: Find the area bounded by x2- 6x +y = 0, x² - 2x - y = 0. and the x-axis.

A: We have given two curves;

Q: Sketch the graph the integrands and use areas to evaluate the integrals. V16 – x² dx

A:

Q: How do I find the area of the region in the first quandrant bounded by the line y=4x, the line x=4,…

A: Here we have to find the area of the region in the first quadrant bounded by the line y=4x, the line…

Q: FInd the area bounded by the give curves y=6x2-8x-2 and y= 3x2+4x-11

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Q: What is the area bounded by the curve y = x3 and x = -2 and x = 1? What is the area bounded by the…

A: we have to find area

Q: Use a right-endpoint approximation to estimate the area under the curve f(x)=4x3+3 over the interval…

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Q: estimate the area under the curve y=x^1/2, from x=1 to x=3 using right end point estimate

A: SolutionGiventhe curve y=x,from x=1tox=3 we need to estimate the area  under the curve y=x1/2,from…

Q: Use right hand rule to find area under the curve   f(x)= x2-x on interval [1,3]

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Q: Find the area under the curve f(x) = 3x+ 1 over the interval [2, 6] with n = 4 by using right end…

A: Given f(x)=3x+1, a=2, b=6, and n=4.

Q: - Use intarmediate value theorem to show that there is a root to the equation. casx=X in fhe…

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Q: Compute the area bounded by the curves x=2y² and x=4+y²

A: Area bounded by two curves x=f(y) and x=g(y) is given by, A=∫abf(y)-g(y)dy ,a,b are the points of…

Q: Find The Area Enclosed by the Curve x=7²-2t,y-VE and the Y-pris

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Q: Compute the area bounded by the curve y=3x² and the lines y=0 and x = 3,

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: y = x²and y = x4

A: From the given curve bounded region is shown below:         Now finding the point of intersection:…

Q: 6. Find the area bounded by the curves of y = 6x + x² andy = -x² - 2x, and the linex = 5.

A: The equation of the curves are  C1: y = 6x+x2C2: y = -x2-2xC3: x = 5 To evaluate: The area of the…

Q: Find the area of the region bounded by the parabola y = -x² + 4x - 3 and | its tangent lines at the…

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

Q: : Determine the area of bounded by y = 2x-1, and y = 4x-2 on interval [1,4].

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Q: Approximate the area under the curve y = x from x = with 6 subdivisions. 3 to x = 6 using a right…

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Q: Estimate the area under the curve given by the function f(x)= ^3√x on the interval [1, 8] using 6…

A: The solution are next step

Q: Find the area bounded by the curve 4y² + 16x – 15 = 0 and the linex = -1. %3D

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Q: Sketch left-endpoint and right-endpoint approximations for f(x) = on [1,2]; Approximate the area…

A: fx=1x on 1,2, n=4

Q: Find the area under the curve f(x) = x° on x =[- 2.5, 5.5] using the Midpoint Rule with n = 8

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Q: Determine the area bounded by the curve y = x2 - 3x -6 and lines y =-4-x,x = 0 and x = -2.

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Q: Find the area of the region bounded by the line y = 2x – 5 and the parabola y = x² – 4x. - -

A: Graph of enclosed region -

Q: Find the area bounded by the curve y = 2 over (x - 3) and the lines y = 0, x = 4 and x = 5.

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Q: Find the area bounded by the curves y=x4-2x2 and y=-x2+4 at an [-1, 1].

A: The region bounded by the curves y=x4-2x2, y=-x2+4 in [-1,1] is: