Approximate the area under the graph of f(x) and above the x axis using n rectangles. F(x)= 4/x from x =2 and x =6; use right end points

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: Find the total area between the graph of the function f(x) = x +1 and the x-axis over the interval…

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

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Q: Find the area below the x-axis and bounded by the curve  y=1-2x for 5<=x<=7.

A: The given curve is: y = 1 - 2x;  where 5 &lt;= x &lt;= 7 The graph is as follows:

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

A: Given, f(x) = x2, we have to find the area under the graph f(x) and above x-axis between x = 0 and x…

Q: Find the area between f(x)=x²-7 and the x-axis from x = 0 and x = 6. ...

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Q: Find the area, in square units, bounded above by g(x)=6x−1 and below by f(x)=7x−15 over the interval…

A: It is given that region is

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

A: Given function is,

Q: Estimate the area between the x-axis and the graph of f(x)=9−x2f(x)=9-x2 over the interval…

A: We will use rectangle's formula to evaluate the area of curve

Q: . Determine the area below f(x) = 8x - 2x² and above the x-axis.

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Q: Find the area bounded above the graph of the function f(x) = 9-x2 /4 and below the graph of the…

A: We first sketch the region using a graphing calculator.  The x coordinates of the intersecting…

Q: Find area of region f(x)=x2+4x+4 g(x)=4x+13

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Q: Find the area bounded by f(x) = 4x − x2 and the x-axis. (In square units)

A: Please go through the attached solution. I hope that this solution will help you. Thankyou . Best…

Q: The area under the graph of f(x) = 3x2 between x = 2 and x = k is 208, where k> 2. Find the value of…

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Q: Find the exact area between the graphs of f (x) = 2x +1 and g (x) = 9 – x2. First find out where the…

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Q: Approximate the area under the graph of ƒ(x) = 2x + 3 and above the x-axis from x = 0 to x = 4 using…

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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: e area of the region under the graph

A: Given that: The equation of the curve is f ( x) = 8x - 9,   [ 5, 6].

Q: Find the area between the graph of y = 3x2 + x and the x-axis for x=0 to x=1. %3D

A: From the given curve the bounded region is shown below:     Now using the double integral method to…

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: For the area under the curve f(x) = x(x+1)(x+7) above the x-axis, and between the vertical lines…

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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 total area between y = -x2 - 2x and the x-axis for -3 sxS2.

A: The objective is to find the total area.

Q: Consider the region bounded above by f(x)=−2x3−9x2−10 and below by g(x)=−x3−12x2−10. Find the area,…

A: To calculate the area contained between the two given curves (as boundaries)

Q: Find the area of f(x) = 3 +2x – x² above the x-axis.

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

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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: Approximate the area under the following curve and above the x-axis on the given interval, using…

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Q: Approximate the area under the graph of​ f(x) and above the​ x-axis with​ rectangles, using the…

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Q: Calculate R3 and L3 for f (x) = x2 − x + 4 over [1, 4]. Then sketch the graph of f and the…

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Q: f(x) = 3 + 2x2 from x = −1 to

A: Given: f(x)=3+2x2 from -1, 2

Q: Find the area in the first quadrant bounded by f(x)=4x-x^2 and the x-axis.

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Q: Determine the area, in square units, bounded above by f(x)=−x^2−10x−16 and g(x)=2x+16 and bounded…

A: Given that fx=-x2-10x-16gx=2x + 16 The objective is to find the area of the region which is bounded…

Q: The area under the graph of f(x) = 3x2 between x = 2 andx = k is 504, where k > 2. Find the value of…

A: Given

Q: f (x) = x – 2x – 3

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Q: Question in image along with part (a) repeated using left points and midpoints.

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Q: Use the left endpoint and 10 rectangles to find an approximation of the area of the region between…

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Q: Approximate the area under the graph of​ f(x) and above the​ x-axis using n rectangles. f(x)=6/x…

A: The width of the interval [2, 10] is = 10-2=8 There are 4 partitions. So the width of each…

Q: The total area bounded by the graph of y =r 2. 1 and the x-axis is represented by

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Q: Find the total area bounded by the graph of y = x² + 2x and the x-axis on [-2, 2).

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Q: Find the area, in square units, bounded above by f(x)=x2+4x+4 and g(x)=9x+54 and bounded below by…

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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 total area bounded by the graph of y = x² + 2x and the x-axis on [-2,2].

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Q: Find the area under the curve 4x2-3x+6 between x= -2 and x=3

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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: Use the left and right endpoints and the given number of rectangles to find two approximations of…

A: The area of the function is ∫022x+7dx. By  left endpoints: ∫abfxdx ≈Δ xfx0+fx1+...+fxn-1, where Δ x…

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

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Q: Let f(x) = 3 + 2x2 Estimate the area under the graph of f, the x-axis, and the lines x = −1 and x =…

A: We have to find the area using 3 rectangle and 6 rectangle

Q: Approximate the area under the graph of​ f(x) and above the​ x-axis using n rectangles.   f(x)=2x+3…

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Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.