(a) Estimate the area under the graph of f(x) = 25 – x from x = 0 to x = 5 using five approximating rectangles and right endpoints. R5 = (b) Repeat part (a) using left endpoints. L5 =

Q: 1. Determine the area below f (x) = 3+ 2x – x² and above the x-axis.

A: 'Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 1. Find the area in the first quadrant bounded by f (x) = 4x – x² and the x-axis.

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Q: Q2/ Find the area of a region bounded by the curve f(x) = 8x' and x-axis and the two lines x=1, x=3.…

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Q: (a) Estimate the area under the graph of  f(x) = 4 + 4x2 from x = −1 to x = 2 using three…

A: In this Question I we taking the endpoint mid point and finding values

Q: (A) Estimate the area under the graph of f(x) = 16 – 2? from x = 0 to x = 4 using 4 approximating…

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Q: Find the total area between the graph of f(x)=x2−5 and the​ x-axis from x=0 to x=6.

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Q: Approximate the area under the graph of​ f(x) and above the​ x-axis using n rectangles. f(x)=x^2+2,…

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Q: Q4. Find the area between curve y = x - 3x + 2 and x-axis from x =0 to x 2

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Q: Find the area under the curve y = x3 + 3x2 and the x-axis between x = 1, and x = 3

A: Find the area under the curve y = x3 + 3x2 and the x-axis between x = 1, and x = 3.

Q: Find the area of the region under the graph of f(x) = ln(x) from x = 3 to x = 11.

A: Given function : f(x) = ln(x) To find the area of the region from x=3 to x=11 To find the area of…

Q: "In Computing the area between two curves, why does f(x) have to be greater than g(x) over the…

A: In computing the area between two curves, why does f(x) have to be greater than g(x) over the…

Q: Find the area bounded by the y-axis and x = 4-y2/3 (Solve using Integral Functions)

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Q: Solve for the area bounded by y = 2x - x2 and the x-axis.

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Q: Q4 Find the area of the bounded by the curve and the x-axis. [2] S(x) = 4 – x²

A: Topic:- area under the curve

Q: Solve for the area beneath the curve y = -(x – 1)² + 10 and above the axis from x = -1 and x = 2.

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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: (a) Estimate the area under the graph of f(x) = 7 + 2x2 from x = -1 to x = 2 using three rectangles…

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Q: Find the area under the graph of f(x) = 3x2, above the x-axis, and between x = 0 and x = 2.

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Q: Find the total area between the curve of the function f(x)=−4x+8 and the x-axis over the interval…

A: To find the total area between the curve of the function f(x)=−4x+8 and the x-axis over the interval…

Q: (a) Estimate the area under the graph of f(x) = 2 + 4x from x = -1 to x = 2 using three rectangles…

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Q: Find the area bounded above by the function f(x) = -3x² + 4x - 1 and bounded below by the x-axis.…

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Q: 8. Find the area under the curve y = e* and above the x-axis from x = 0 to x=1. -3x

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Q: c) [ 1: Estimate the area under the graph of f(x) = x² - 1 from x = 1 to x = 3 using four…

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Q: Find the area of the “triangular” region in the first quadrant that is bounded above by the curve y…

A: Consider the provided curve,  Bounded above by the curve y=ex2 and below by the curve y=e-x2. And on…

Q: 2. Determine the area above f(x) = 3x² + 6x - 9 and below the x-axis.

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Q: Estimate the area under the graph of f(x)=5/x from x=1 to x=7. Approximate using 6 rectangles.A.) If…

A: There are 6 rectangles  So each rectangle is of width = (7-1)/6=6/6=1 So, endpoints are…

Q: Find the area under the graph of y = 4x + 3, above the x-axis, between x = 1 and x = 4. (You can use…

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Q: Find the total area between the curve of the function f(x)=2x+4 and the x-axis over the interval…

A: We have to find the total area under f(x)=2x+4 and the x-axis over the interval [−9,−1]Recall that…

Q: (a) Estimate the area under the graph of f(x) = 2 + 4x from x = -1 to x = 2 using three rectangles…

A: The function given is  f(x)=2+4x2 on the interval [-1, 2]

Q: (a) Estimate the area under the graph of f(x) = 3v x from x = 0 to x = 4 using four approximating…

A: The left endpoint approximation uses the left endpoints of a subinterval. The right endpoint…

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

A: Given problems:- a).  Estimate the area  under the graph f(x) =2x+1 from x=1 to x=2 using four…

Q: (a) Estimate the area under the graph of f (x) = 1+x² from x = -1 to x = 2 using three rectangles…

A: As per bartleby guidelines, for more than three subparts, first three needs to be solved and others…

Q: approximate the area under the graph of f(x) and above the x-axis using the left, right, and…

A: f(x) = 3x + 2 from  x=1  to  x=3; n = 4dx = Width of each rectangle = (3 - 1) / n = 2 /4 = 0.50

Q: (a) Estimate the area under the graph of f(x) = 9 + 2x from x = -1 to x = 2 using three rectangles…

A: ∫abf(x)dx≈Δx(fx1+f(x2)+....+f(xn-1)+f(xn)) where Δx=b−an.  We have that f(x)=2x2+9, a=−1, b=2, and…

Q: 4.1 Can you show me all the steps to solve problem 5?

A: (a) Draw the graph for the function with three rectangles using the right endpoints as shown in…

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

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Q: 1. a) Approximate the area under the graph of f(x)=} from x=1 to x=5 using the right endpoints of…

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

A: Given function is  We divide the interval [0,4] into four sub-intervals and length of each…

Q: 1. Find the area in the first quadrant bounded by f (x) = 4x- x and the x-axis.

A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts…

Q: (a) Estimate the area under the graph of f(x) = 7 + 2x² from x = -1 to x = 2 using three rectangles…

A: We have to estimate the area under the graph of f(x) = 7 + 2x^2 from x = -1 to x = 2 using three…

Q: Find the area of the region under the graph of the function f on the interval [-1, 5]. f(x) = 2x +…

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Q: 11. Find the area bounded by the curve y² + 2x - 2y - 3 = 0 and the y-axis.

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

A: Given We need to find the area under f(x) over the interval [1,3].

Q: Find the area the region lying between the x axis and the curve y=(ln(8x)-1)/x2 to the right of the…

A: Given curve is y=ln(8x)-1x2 Since region lying between x-axis and the curve to the right of the line…

Q: For F(x)= 3+3x-2x^2 A. Sketch the graph and the rectangles from x=0 to x=2 using n=4 and right…

A: The given function is:…

Q: Solve. 1. Find the area of the region between the function f(x) = 4x + 1 and the x– axis on the…

A: Note :As per our guidelines we are supposed to answer only one question if there are multiple…

Q: find the area of the region under the graph of the function f on the interval [-27,-1]  f(x) = 1 -…

A: Here Area under a curve on an interval is  analogous to the integral of the function of the curve on…

Q: 2. Find the area bounded by y = 4x – x² and the x – axis. · Solve in two ways.

A: Solution:Giveny=4x-x2   and x-axisTo find the area of the bounded region.Formula:Area=∫abydx