Estimate the area under the curve of f (x) = = from 1

Q: Estimate the area under the curve by calculating the lower sums from x = 0 to x = 2 with n = 2.

A: Given Data: The expression to estimate the area under the curve by calculating lower sums is,…

Q: Approximate the area under the curve graphed below from x = 1 to x = 6 using a Left Endpoint…

A: Given:

Q: Estimate the area under the graph of f(x) = 4 over the interval [2, 5] using five approxima %3D…

A: Given: f(x)=4x

Q: Estimate the area under the graph of f(x) = 36 – x² over the interval [ – 6, 4] using eight…

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

A: Given function is,

Q: Approximate the area under the curve graphed below from x = 3 to x = 8 using a Left Endpoint…

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Q: Estimate the area under the graph of f(x) = 16 - r² over the interval [- 4, 1] using ten…

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Q: Estimate the area under the graph of f(x)=1/x from x=1 to x=2 using left and right endpoints.

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Q: Estimate the area under the graph of the function f(x)= sqrt(x+2) from x=−1 to x=2 using a Riemann…

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Q: What is the area under the curve of the following positive function y = 10x4 + 3x² between x = -1…

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Q: Estimate the area under the graph of f(x)=x^2+4x from x=4 to x=7 using 3 approximating rectangles…

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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: The area between y = n + x* and the x- axis in the interval [0, 1] approximated using left endpoint…

A: Find your answer below

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

A: Rn = 34.28 Ln= 31.08

Q: Estimate the area under the graph of f(x)=1/(x2+2)   over the interval [3,7]using five approximating…

A: Given: f(x)=1/(x2+2)  over interval [a,b]=[3,7] and n=5

Q: Estimate the area under the graph of f(x) = x° between x = 0 and x = 4 using each finite…

A: Given,  f(x)=x3 and a=0 and b=4

Q: Estimate the area under the graph of f(x) = 3/x from x = 1 to x = 2 using four approximating…

A: We need to divide [1,2] in 4 equal intervals. Width of each interval=(2-1)/4=0.25 So the partition…

Q: Estimate the area under the graph of f(x) over the interval [- 2, 2] using five approximating a +4…

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Q: Estimate the area under the graph of f(x)=x^2+4x from x=1 to x=5 using 4 approximating rectangles…

A: The given graph of the function is f (x) = x^2+4x from x = 1 to x = 5.The number of triangles is…

Q: Use the Midpoint Rule with n = 3 to approximate the integral 6.

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Q: What is the area under the curve represented by the function f(x)=x√x?

A: Topic = Application of integration

Q: Find the area bounded by the curve f(x) = -x² + 10 and the x-axis. Give your answer correct to two…

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Q: Approximate the area under the curve graphed below from x=2 to x = 6 using a Left Endpoint…

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

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Q: 4. Use a right-sum and left-sum, with 4 subintervals each, to estimate the area under the curve of y…

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Q: Find the area between the curve f(x)=x^3−110 and the​ x-axis from x=1 to x=3.

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

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Q: What is the area under the curve of the following positive function y = 10x4 + 3x2 between x = −1…

A: Given: y = 10x4 + 3x2 between x = −1 and x = 2 Area=∫-1210x4+3x2dx         =∫-1210x4dx+∫-123x2dx…

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

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Q: Estimate the area under the graph of f(x) over the interval [0, 3] using five x + 2 approximating…

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Q: Find the area under the curve f(x) =x+3x+7, above the X axis from x=4 to x=6.

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Q: What is the area under the curve for f(x) = 3x2 +5 between x=1 and x=10?

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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: Estimate the area under the graph of f(x)=5 root x from x=0 to x=4 using four approximating…

A: a = 0; b = 4; n = 4; Width = Δx = (b - a) / n = (4 - 0) / 4 = 1

Q: Approximate the area under the curve graphed below from x = 1 to x = 6 using a Left Endpoint…

A: The given curve is a parabola of the form, y2=4ax Since the curve passes through 2,2, it must…

Q: Estimate the area under the graph of the function f(x) = sin(x-5) from x=5 to x=6 using a Riemann…

A: We have to find the area under the graph of the function f(x) = sin(x-5) from x=5 to x=6 using a…

Q: Use trapezoidal rule to estimate the the int 4dx n=6

A: Here we have to use the trapezoidal rule to estimate the integral.  We have,

Q: Approximate the area under the curve defined by the function 8x^4 over the interval x = 0 to x = 3…

A: Given: f(x)=8x4 We have to find the area under the curve defined by the given function over the…

Q: Estimate the area under the graph of f(x) = rectangles and right endpoints. Rn = Repeat the…

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Q: Estimate the area under the graph of f(x) : 1 over the interval [- 1, 1] using ten approximating…

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Q: The area bounded by the curves: у-х, у-6-х аnd у-0.5х is:

A: see below the answer and explanation

Q: Estimate the area under the graph of f(x) = over the interval [– 3, 0] using four x + 4…

A: The function is given as, fx=1x+4 It is also given that, Number of rectangles, n=4Upper limit,…

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 bounded by f (x) = a 20 – 3x – 2x2 and the x -axis using Simpson's Rule…

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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: Consider the function f (x) = x² + x + 2. What is the maximum approximation of the area under the…

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

A: The given function is f(x)=1x+4. Estimate the area under the graph of f(x)=1x+4 over the interval…

Q: Find the area under the curve for y = 3x over the interval [2,5).

A: The given curve is y=3x2

Q: Use the Midpoint Rule to estimate the integral. n=4

A: Since we have been given up the integral ∫191xdxOur aim is to estimate the integral till n=4 using…

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.