Approximate the area between f (x) = x² + 6x + 5 and the x -axis on the interval [0, 2] using 4 rectangles and left endpoints. Make sure to show work

Q: What is the total area between f(x)=6x+6 and the x-axis over the interval [−6,3]?

A: To calculate the total area bounded between the curve f(x)=6x+6 and x-axis over the interval [-6,3].…

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

A: See below

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: Estimate the area between the x-axis and the graph of f(x) = 9 – x² over the interval [-1, 2] by…

A: Clearly the given integral can be approximated by the areas of the given triangles.

Q: Find the area beneath the curve g(x) = 8x + 3x2 from x = 5 to x = 6

A: Given function is,

Q: Find the area between the curves x² and 3x – 2

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Q: Determine the area bounded by the curves y = -x² – 18x + 63 and y = (x – 3)². |

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Q: Find the area of the region bounded by the curve f(x) = ex -3 and the x-axis , and between x = 0 and…

A: The region bounded by the curve f(x) = ex -3 and the x-axis , and between x = 0 and x = 2 is as…

Q: What is the total area between f(x)=−6x and the x-axis over the interval [−4,2]

A: Graph of f(x)=-6x in interval -4 to 2 is shown on board

Q: Find the total area bounded by the x-axis and the curve f(x) = x2 + 3x - 4 over the interval [0, 4]…

A: The given curve is,

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: Find the area between two curves f(x) = x² + 3x and g(x) = 6x.

A: The region bounded between the curves fx=x2+3x and gx=6x

Q: What is the area (in square units) of the region bounded by the graphs of y=x2+2, and the x axis…

A:

Q: What is the area of the region between X |y=x2–2x−3 and the x-axis from x=0 to x=4?

A:

Q: Find the area included between x2+ y2= 4x and y2= x above x-axis

A: Find the area included between x2+ y2= 4x and y2= x above x-axis

Q: Estimate the area under the graph of f(x) = x² + 3x + 1 over the interval [2, 4] using ten…

A: Given function: fx=x2+3x+1 Interval: [2, 4]Number of rectangles = 10 To find: The area under the…

Q: Find the area of the region bounded by the curve y=x^3-3x^2+3 and the x-axis.

A:

Q: Estimate the area under the graph of f(x) = x² + 2x + 1 over the interval 1, 6 using four…

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Q: Using left endpoints, approximate the area under the curve of f(x) =3x^(2) + 1 over the interval [0,…

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

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Q: Use four rectangles to estimate the area between the graph of the function f(x) = e² on the interval…

A: For (a),

Q: Estimate the area under the graph of f(x) = 36 – x² over the interval [– 2, 4] using eight…

A:

Q: Find the total area between f(x)=3x2-3 and the x-axis on the interval [-2,2]

A: Calculation:The given curve are f(x) = 3x2 – 3 and the x axis y = 0 on the interval [– 2, 2].The…

Q: Find the area of the region bounded on the left by the curves y = e3x and y=3-x, and on the right by…

A: The area is the amount of space occupied by the surface. It is measured in terms of unit squares it…

Q: Use the Midpoint Rule with n approximate the integral. 10 [." √x + 2dx = = 3 to

A: Given that: ∫410x+2dx

Q: What is the area of the region between y = x - 2x- 3 and the x-axis from X = - 2 to X = 0?

A:

Q: Find the area of the region bounded by f(x) = -x² – 2x + 3, x-axis, and interval [0, 2].

A:

Q: Find the area of the region that is completely bounded by the two curves f(x) = x* g(x) = 3x + 20. -…

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Q: Find the area between the curves: y=x^3−10x^2+21xx and y=−x^3+10x^2−21x

A:

Q: Find the area between the curves x=63-7y^2 and x=7y^2-63

A: Here two curves are given and we need to find the area between them. The curve equations are shown…

Q: Find the area of the region bounded by f (x) = a /20 – 3x – 2x² and the x -axis using Trapezoidal…

A:

Q: Estimate the area under the graph of f(x) = x² – 2x + 5 over the interval (0, 7 using ten…

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Q: Find the area of the region bounded by y = x² - 5x + 6, the x axis, and the vertical lines x = 0 and…

A: Given that y = x2 - 5x + 6 ; y = 0 (x - axis) ; x = 0; x= 4  We have to find the area of the region…

Q: What is the area of the region between y=x^2-2x-3 and the x-axis from x-0 to x=6?

A: Given,      y= x2-2x-3and the x-axis  from  x=0 to x=6.

Q: Estimate the area under the graph of f(x)=16−x2 from x=0 to x=4. Approximate using 4 rectangles.A.)…

A: Given function is Length of each rectangle is  Therefore, the interval [0,4] into sub-intervals…

Q: Find the area of the region between the curve y = 2x/(1 + x2) and the interval -2<= x <=2 of…

A: Find the area bounded by curves

Q: Find the area of the region above the x-axis bounded by the function y = 4x - x2 – 3

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Q: Find the area between the curves x2 and 6x – 5

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Q: Find the area bounded by the curve y2 = 4x and the line 2x + y = 4.  show full solution

A:

Q: Find the total area between the function f(x)=3x+8 and the x-axis over the interval (−4,−1). Submit…

A: To calculate the unsigned (total area) of the region: in calculating total area, we take only the…

Q: Determine the area bounded by the curves Y = -x² – 18x + 88 and y = (x – 4)².

A: To determine the area bounded by the curves

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

A:

Q: Estimate the area under the graph of f(x) = x + 3x +1 over the interval [2, 4] using eight…

A: Given function fx=x2+3x+1 over interval [2, 4] and number of sub intervals, n=8. ∆x=b-an=4-28∆x=14…

Q: What is the total area between f(x)=−2x−6 and the x-axis over the interval [−8,4]?

A: The area under a curve is the area between a curve f(x) and  the x -axis is the interval [a,b] given…

Q: Find the area bounded by the curve y2 = 4x and the line 2x + y = 4.  Show full complete solution.

A: Given : Curve : y²= 4x              and line  2x+y=4 To find : Area between the curve and line

Q: find the area of the region bounded by the curve y=x2 - 4x+3  , x axis and the lines x=2 and x=4

A:

Q: Estimate the area under the graph of f(x)=√x+3 over the interval [−3,1] using eight approximating…

A: Given :  Function f(x) = √(x+3), Interval [-3,1], To find : Area under the graph of given function…

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:

Q: Find the area of a triangle bounded by the yy-axis, the line f(x)=10−2xf(x)=10−2x, and the line…

A: Now, from the graph we have the points of intersection of the lines