Evaluate the integral by interpreting it in terms of areas. In other words, draw a picture of the region the integral represents, and find the area using high school geometry. 10 |9x – 10|dx

Q: write adefinite integral that represents the area of the region. (Do notevaluate the integral.)…

A: To write a definite integral that represents the area of the region f(x) = 2x, 1,4 To evaluate the…

Q: Use geometry and properties of integrals to evaluate the followingdefinite integrals.

A: Complete the square: (8x-x2) = -(x2-8x+16-16) => (8x-x2) = -(x-4)2 + 16 Substitute this in…

Q: 49-. ーdx 11 ー7

A: The region from the given integral is:

Q: Evaluate the integral below by interpreting it in terms of areas. In other words, draw a picture of…

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Q: - A. Find the area enclosed by y = 5x – x² and y = x. Solve and Draw. 1

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Q: Evaluate the integral below by interpreting it in terms of areas. In other words, draw a picture of…

A: Given problem:-

Q: Evaluate the integral by interpreting it in terms of areas. In other words, draw a picture of the…

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Q: Find the area of the region bounded by: x = y? + 1 y = - x – 1 y = 2 y = - 2

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Q: Evaluate the integral by interpreting it in terms of areas. In other words integral represents, and…

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Q: Which of the following is the correct integral setup to find the area enclosed by the curves f(x) =…

A: Consider two curves, f(x)=2-2x and g(x)=x2-1 f(x) is straight line , to plot f(x) consider x 0 1…

Q: 49 — х?dx -7

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Q: find the area of the region bounded by 4у — у? аnd х %3 4- у

A: topic - area bounded by curves

Q: Find the area of the region under the graph of f on [a, b]. Alx) = i [4, 5] Additional Materials…

A: According to our company policy we can answer only first question and rest can be reposted

Q: 3) Calculate the area bounded by y=x³ , x=0 and y=3. (Draw the figure)

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

Q: Evaluate the integral below by interpreting it in terms of areas. In other words, draw a picture of…

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Q: Evaluate the integral by interpreting it in terms of areas. In other words, draw a picture of the…

A: Sketch the integrant as shown below.

Q: Using iterated integrals, graph and find the area between the parabolas y2 = 4ax and x2 = 4ay.

A: GIVEN - TWO PARABOLAS ARE GIVEN y2=4ax and x2=4ay TO FIND- AREA BETWEEN 2 PARABOLAS CONCEPT USED-…

Q: Using Green's Theorem, calculate the area of the indicated region.  The area bounded above by y=2x…

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Q: (d) Set-up, but do NOT evaluate an integral (or integrals, as the case may be) that would find the…

A: As per your query the solution nof d and e have been given below.

Q: Evaluate the integral below by interpreting it in terms of areas. In other words, draw a picture of…

A: The graph is shown below:

Q: Evaluate the integral below by interpreting it in terms of areas in the figure. y=f(x) A1 The areas…

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Q: d. Find the area between y = x* – x² and y = x2. Sketch the region.

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Q: |4x – 5|dx 0.

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Q: Evaluate the integral below by interpreting it in terms of areas. In other words, draw a picture of…

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Q: Evaluate the integral below by interpreting it in terms of areas. In other words, draw a picture of…

A: The given integral is ∫-3332-x2dx. We know that, ∫abfxdx gives the area under the graph of y=fx…

Q: Consider the region R enclosed by y =-x2 +x and y = ax? for a > 0. Find the value of a such that the…

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Q: Evaluate the integral by interpreting it in terms of areas. In other words, draw a picture of the…

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Q: Sketch the region whose area is given by the integral and evaluate it. 37 8. r dr de

A: see below the answer

Q: Provide an appropriate response. Find the area between the graph of #0 = 50 - 3w2 and the x-axis…

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Q: Evaluate the integral and interpret it as the area of a region. dx - 3-5 15 + 27 Sketch the region.…

A: Area is always the integral of (upper curve - lower curve)

Q: show all work find the area between y=3x2+5 and y=x over the interval 1≤x≤2

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Q: Write an integral that quantifies the change in the area of the surface of a cube when its side…

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Q: Find the area of the region bounded by у? %3D 2х, аnd у%3Dх-4

A: "Since you have posted multiple questions, we will answer the first question. If you want the…

Q: Use an area formula from geometry to find the value of the integral by interpreting it as the…

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Q: So 18x – 7|dæ

A: Given integration is , ∫06|8x-7|dx The area under the curve is represented by a definite…

Q: Using iterated integrals, find the smaller area cut form the circle x² + y2 = 16 and the line y =-1.

A: to find the area we consider th strip parallel to y axis  and desctribed the region as below

Q: Evaluate the integral below by interpreting it in terms of areas. In other words, draw a picture of…

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Q: Find the area of the region enclosed by; the limacon r=2+cose O A) 6TT/2 O B) I DON'T KNOW O C) NONE…

A: Please see the answer below

Q: Sketch the region and find its area. The region bounded by y = ex, y = e = 4x, and x = In 3 1 -3 3…

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Q: Evaluate the integral by interpreting it in terms of areas. In other words, draw a picture of the…

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Q: Evaluate the integral below by interpreting it in terms of areas. In other words, draw a picture of…

A: The graph is shown below:

Q: Evaluate the integral below by interpreting it in terms of areas. In other words, draw a picture of…

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Q: Evaluate the integral by interpreting it in terms of areas. In other words, draw a picture of the…

A: This question can be solved using the concept of area of triangle and area under curve. I have…

Q: Find the area of the region that lies inside the first curve and outside the second curve.…

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Q: Let R be the region bounded by the x-axis and the graphs of and y = 4 – 2.x , as shown in the figure…

A: Since you have posted multiple questions but according to guidelines we will solve the first…

Q: What is the area of the region in terms of x? OA. (x2 - 11) dx+ | (10x) dx - V11 I (2-11- 1Ox) dr

A: question on area finding using definite integral

Q: Sketch the graph and find the area of the region that lies inside both r = 1 and r = 2sin0.

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Evaluate the integral below by interpreting it in terms of areas. In other words, draw a picture of…

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Q: Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the…

A: answer is in next step. please give a like!!