Use four rectangles to approximate the area of the planar region under the graph of f(x) = 0.2x³ – 0.6x² + 17 over the interval [1, 6]. Use the left-most end points. х f(x) Sum: So, S4

Q: The area bounded by the curve y -V4 – x² and the x-axis over the interval -2, 2] is Select one: a. 4…

A: Realize that the given curve is the bottom half of the circle x2 + y2 = 4 i.e. bottom half of the…

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: Use the Midpoint Rule with n = 4 to approximate the area of the region bounded by the graph of the…

A: We have to use the Midpoint Rule with n = 4 to approximate the area of the region bounded by the…

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: Calculate the area, in square units, bounded above by f(x)=x2+8x+16 and g(x)=8x+80 and bounded below…

A: The solution of the problem is given in the next steps.

Q: Consider the region bounded above by f(x)=−x2+9x+7 and below by g(x)=8x+5. Find the area, in square…

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Q: A sum is used to approximate the area under the curve of f(x) = x² + 2x + 10 %3D on the interval…

A: The interval [-1,8] is divided into three sub intervals. Therefore length of each interval=8-(-1)3=3…

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 area under the curve y = - over the interval [4, 9]. (4x + 2)² Enter the exact answer. area…

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Q: Use the FTC I to find the area of the region under the graph of the function f(x) = 2x2 on [0, 6].

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Q: Q4/ Find the area of the region enclosed by the curves 4x² + y = 4 and x* - y = 1.

A: Consider  the curves  4x2+y=4x4−y=1

Q: Consider the region bounded by g(x)=7x−6 and f(x)=x2+19x+14. Find the area, in square units, between…

A: The given two curves that bounds a region is,

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

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Q: Find the area of the region bounded by the graph of ​f(x)=sin x and the​ x-axis on the…

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Q: Approximate the area under the graph of F(x) = 0.7x° + 7x - 0.7x-7 over the interval [-7,-2] using 5…

A: Given, The area under the graph of f(x) using the left Riemann sum is given by where,

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: Determine the area, in square units, of the region bounded by g(x)=−7x−7 and f(x)=x2 −11x−28 over…

A: To calculate the area bounded between the curve g(x)=-7x-7 and f(x)=x2-11x-28 over the interval…

Q: Find the area of the region under the graph of the function f on the interval [0, 9]. f(x) = 9x -…

A: given  f(x)=ax-x2Requirid area , A= ∫0qf(x) dx A=∫0q(qx-x2) dx  = ∫0qqx - ∫0qx2dx

Q: Approximate the area under the graph of F(x) = 0.7x +7x-0.7x-7 over the interval [-7,-2] using 5…

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Q: Determine the area, in square units, of the region bounded by g(x)=−10x+11 and f(x)=x^2−5x−13 over…

A: Solve the following

Q: Find the area of the region under the graph of f on [a, b]. f(x) = x² - 6x + 13; [−1, 2]

A: To find the area of the region under the graph of f(x)=x2-6x+12 on the interval [-1,2].

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 curve f(x) on the closed interval [1, 3] with 5 circumscribed regular…

A: Given curve f(x)=x2+9x+10 interval 1,3. The objective is to estimate the area under the curve. Area…

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 of the region under the graph of f on [a, b]. f(x) = x2 – 6x + 14; [-1, 2]

A: Given  function is  : f(x) = x2 - 6x + 14  ; [ -1, 2 ] Method to find area under the curve : The…

Q: Given the function f(x)=2x+6, find the total area between f(x) and the x-axis over the interval…

A: Result used:The area between the function f(x) and the x-axis over the interval [a, b] is,

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

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Q: Find the area of the region bounded to the right by x = y + 2 and to the left by x = y². 543-2 1…

A: As per our guideline if multiple questions are posted we are supposed to answer only the first one…

Q: find the area of the portion of the cylinder x²+z²=16 lying inside the cylinder x²+y²=16

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Q: nd the area of the region under the graph of f(r) = 2r² – 4x + 2 on [-2, 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: If R is the region between the graphs of the functions f(x) = 4x + 9x2 + 7x – 3 and g(x) over the…

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Q: Find the area of the region enclosed by the curves f(x) = 7x + 1 and g(x) = 5x + 17, and the lines x…

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Q: Find the area, in square units, bounded by g(x)=3x−4 and f(x)=x2+5x−52 over the interval [−8,6]. Do…

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Q: Find the area of the region under the graph of f on [a, b]. f(x) = x2 – 8x + 20; [-1, 2]

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Q: Find the area (in square units) of the region under the graph of the function fon the interval [-1,…

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

A: Given the graph of the function :

Q: Estimate the area between the x-axis and the graph of f(x) = 9 – 2° over the interval [0, 3] by…

A: Given function is f(x)=9-x2 we have to find the area over interval [0, 3]. Since there is 3…

Q: Find the area (in square units) of the region under the graph of the function f on the interval…

A: Given fx=9x2-6x-5        1,4

Q: Approximate the area under the graph of f(x) = 0.03x* - 1.44x + 43 over the interval [3,7] by…

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Q: Find the area between the curve f(x) = −3x^2 + 3 and the x-axis over the interval [−1, 2].

A: Answer and explanation is given below

Q: The area of the interval lies between z = -2.49 and z= 1.72 is

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Q: Determine the area, in square units, of the region bounded by f(x)=−x2+21x−44 and g(x)=5x+19 over…

A: Determine the area, in square units, of the region bounded by f(x)=−x2+21x−44 and g(x)=5x+19 over…

Q: The area under the curve y = 8x bounded by the lines a = 4 and a = 9 above the a – axis is_ 648.00…

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

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