Approximate the area under the graph of f(x) and above the x-axis with rectangles, using the following methods with n = 4. (a) Use left endpoints. (b) Use right endpoints. (c) Average the answers in parts (a) and (b) (d) Use midpoints. f(x) = , + 3, from x = 1 to x = 9

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: 7) Find the area under the parabola y = x² – 2x +2, above the x-axis and between x = 0 and x = 1.

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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: (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: 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: f(x) = x^3 + 4x and g(x) = 6x^2 - x Find the area between the two curves

A: We have to find the area between the given curves.

Q: Estimate the area under the graph 1 of f(x) = from a = 5 to x2 +1 b = 13 by using n = 4 rectangles…

A: The given function,   f(x)=11+x2 from a=5 to b=13 by using n=4 rectangles

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: Find the area of the region between the curve and the x-axis. In 4 3x f(x) = e - 4 from 0 to 3

A: By using area formula, we calculate the required area of the region.

Q: For the area enclosed between the curves of the equation f (x) = x and g (x) = k to be 30 (ul), a…

A: here we have to find the intersection points compare both functions  so upper and lower limit…

Q: Find the area between the curves f(x) = −x² + 4x and g(x) = x² - 6x + 8.

A: Basic identities of integration are used

Q: 1. Find the area lying above the x-axis under the parabola y = 4x – x2.

A: The area lying above the x-axis under the parabola y=4x-x2

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: Consider the region bounded above by f(x)=7x2+3x−45 and below by g(x)=8x2+22x+45. Find the area, in…

A: First, we need to find the points of interesection of f(x)=7x2+3x−45 and g(x)=8x2+22x+45At points of…

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: Approximate the area under the graph of f(x) and above the x-axis using the following methods with…

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Q: The area under flx) between X=L and x=2 fal= 3x2

A:

Q: Consider the region bounded above by f(x)=7x2+3x−45 and below by g(x)=8x2+22x+45. Find the area, in…

A: The given functions are,

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

A:

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: The area formed in the first quadrant by the graphs of y = x- %3| and y = 8 – x² is revolved about…

A: Use cylinder shell method to find the volume

Q: The area under the curve y = 2x bounded from below bythe x-axis and on the right by x = 4 is 16 3…

A: Given that the area under the curve y=2xwe need find the area below the x-axis and the right by x=4

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 using the following methods with n…

A: Your question has four sub parts. I have answered the first three sub parts. Please post the balance…

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

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Q: Find the area between the curves of the following functions. First graph, then find the area. 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: 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: 2 Find the area of a triangle bounded by the y axis, the line f(x) = 8 – -x, and the line…

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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: Estimate the area under the graph of f(x) = 7 + 4x^2 from x = -1 to x = 2 using three rectangles and…

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Q: Estimate the area under the graph of f(x) = x + 2x from x = 5 to x = 11 using the areas of 3…

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

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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: 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: 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) = 4 + 4x2 from x = −1 to x = 2 using three rectangles and…

A: In this question, we find the area by using the midpoint rule for the given function f(x)=4+4x2 for…

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

A: As per guidelines, i can answer only three subparts of a question. To know rest, please re upload…

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

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

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

A: We have to calculate the area using left end right end and mid point methods.

Q: Calculate the area between the graph of f(x) = x² (x + 4) and the x-axis given x E [0, 5].

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

A: Find the area of the “triangular” region in the first quadrant that isbounded above by the curve y =…

Q: Estimate the area under the graph of f(x) = 1/1 + 4x^2 from x = −2 to x = 0 using four approximating…

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Q: Find the area between the curves f(x) = x^2 - 4x +12 and g(x) = x^2 - 2x + 2  for 0 ≤ x ≤ 3

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