The integral (8x - 2) dx represents the signed area between the integrand 8x - 2, and the ---Select-- v. Looking at the graph, this area is comprised of two right triangles --Select- squares rectangles parabolic segments right triangles Submit Skip (you cannot come back)

Q: Use the Midpoint Rule with n = 4 to approximate the integral. √x + 5dx = [Please enter your answer…

A: Here we have to use the midpoint rule

Q: Estimate the area under the graph of f(x) = 2x² – 4x + 3 over the interval (0, 3] using eight…

A: We will find the area by using right and left end points as shown below

Q: stimate the area under the graph of f(x)=16-x^2 over the interval [-3,2] using four approximating…

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Q: Explain how to compute the area between the curve y=x^3-x^2-3x+3 and the x-axis from the values x=-2…

A: Let's draw the curves : Red shows curve of x3-x2-3x+3 .Blue shows curve of x =-2 .Green shows curve…

Q: Estimate the area under the graph of f(x) = r² +x + 1 over the interval [0, 5] using ten…

A: Recall the following. Rn=∑i=1nfxi∆xLn=∑i=1nfxi-1∆x∆x=b-an Observe the following as follows.…

Q: (b) Divide the interval [-1, 1] into 2n parts. Approximate the area under the curve by rectangles,…

A: Given function is f(x)=1x, for x≠01,   for x=0 Given interval [-1,1] Now we have to divide the…

Q: Estimate the area under the graph of f(x)=√x+2 over the interval [ - 2, 0] using eight approximating…

A: To estimate the area under the graph of fx=x+2 over the interval -2, 0 by using eight approximating…

Q: 5. Find the area of the region bounded by f(x) = -x? – 2x + 3, x-axis, and interval [0, 2].

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Q: Estimate the area under the graph of f(x) = 16 - r² over the interval [- 4, 1] using ten…

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Q: Find the area of the region bounded by (image) and the x -axis using Left Riemann Sum with 8 equal…

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Q: Use a two-segment trapezoidal rule to estimate the integral the integral of f(x) = 0.2+ 25x– 200x² +…

A: One way to improve the Accuracy of the trapezoidal rule is to divide the integration interval from a…

Q: Estimate the area under the graph of f(x) = x² + 2x + over the interval (2, 4 using ten…

A: Rn = 34.28 Ln= 31.08

Q: Estimate the area under the graph of f(x)=1/(x2+2)   over the interval [3,7]using five approximating…

A: Given: f(x)=1/(x2+2)  over interval [a,b]=[3,7] and n=5

Q: Estimate the area under the graph (sqr-root):x+4 over the interval [-4,12] using 8 approxiamating…

A: Given function: Width of each interval = (12-(-4))/8= 16/8= 2  So the partition is -4, -2, 0, 2, 4,…

Q: Estimate the area under the graph of f(x) = over the interval [1, 5] using eight approximating %3D…

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Q: Estimate the area under the curve y = x2+1 between x = 0 and x = 1 using Reimann Sums 4 rectangles…

A: Consider the curves, y=x2+1,n=4,  Interval:0,  1Δx=1-04=14x0=0,  x1=14,  x2=12x3=12+14=34x4=1

Q: Estimate the area under the graph of f(x) = x² – 4x + 6 over the interval (0, 2] using ten…

A: How we can find area of rectangles by approximating rectangles : Given a function f(x) where f(x)≥0…

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: Approximate the area bounded by the graph of Ax) = -x² + 9, the x-axis, and the vertical lines and…

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Q: Estimate the area under the graph of f(x) = 36 – 2 over the interval [– 3, 4] using ten…

A: We need to find area using Reimann sum.

Q: Find the area of the region bounded by thegraph of ƒ and the x-axis on the given interval.ƒ(x) = sin…

A: Solution -  Given function is - f(x) = sinxWe have to calculate the area enclosed by f(x) from x =…

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

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Q: Find the area of the region bounded by the graphs of the equations. Use a graphing utility to verify…

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Q: Estimate the area under the graph of f(x) over the interval [2, 4] using eight approximating %3D x +…

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Q: (4) 6. Accurately sketch a graph of the region, shade the area in question, and use geometry to…

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Q: Estimate the area under the graph of f(x) = 36 – x² over the interval [– 2, 4] using eight…

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Q: Find the area of the region bounded by and the x -axis using Midpoint Riemann Sum with 8 equal…

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Q: Estimate the area under the graph of f(x)=x^2+2x from x=2 to x=10 using 4 approximating rectangles…

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Q: (A) Estimate the area under the graph of 5 f(x) : from x = 1 to x = 7 using 6 approximating…

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Q: Consider the region bounded by f(x)=7x+15 and g(x)=6x−3. Find the area, in square units, between the…

A: To compute the required area by integration

Q: Each of the regions A, B, and C bounded by the graph of f and the x-axis has area of 3. find the…

A: Given integral is ∫-42f(x)+2x+5dx As the region has been divided into three parts, A,B and C, so we…

Q: To estimate the area under the graph on the interval [-4, 4], we use left-rectangle approximation…

A: Introduction: A sub-interval can be divided into a certain number of subintervals with equal length.…

Q: Estimate the area under the graph of f(x) = x² – 2x + 5 over the interval [0, 7] using ten…

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Q: а. Calculate the area under the curve from -2<x<2 using four inscribed rectangles. b. Calculate the…

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Q: (A) Estimate the area under the graph of 5 f(æ) = - from x = 1 to x = 6 using 5 approximating…

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Q: Estimate the area under the graph of ƒ(x) = 1/x​ from x = 1 to x = 2, first using 4 approximating…

A: Hey, since there are multiple subparts posted, we will answer the first question. If you want any…

Q: Evaluate the integral. HINT: [Use a shortcut.] e3x - 1 dx

A: Given integral: ∫-22e3x-1dx Substitute u=3x-1 and differentiate it w.r.t 'x'…

Q: Evaluate the integral if it converges. Give exact answer, type na if it diverges. 12 -dx x2 – 1 12…

A: Given: An improper integral ∫8∞12x2-1dx The improper integral ∫8∞12x2-1dx can be written as:…

Q: Approximate the area under the graph of f(x) = 0.7x3+7x2-0.7x-7 over the interval [ -7,-2 ] using 5…

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Q: Solve using iterated integrals. (with graph) Find the area bounded by x2-6x+y=0 and x2-2x-y= 0

A: The objective is to find the area bounded by x2-6x+y=0 and  x2-2x-y=0.

Q: Estimate the area under the graph of f(x) over the interval (3, 5] using ten approximating x + 2…

A: Given that f(x)=1x+2  To estimate right and left endpoints: The right Riemann sum (right endpoint…

Q: Estimate the area under the graph of f(x)=36−x2f(x)=36-x2 over the interval [−5,2] using five…

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Q: (A) Estimate the area under the graph of 3 f(x): from x = 1 to x = 5 using 4 approximating…

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Q: . Sketch the region bounded by f(x) = 3 + 10e-2", g(x) = 3+2e", x = -1 and x = 1. Using calculus,…

A: Given: fx=3+10e-2xgx=3+2ex Solving the above 2 equations 3+10e-2x=3+2exe3x=53x=ln5x=ln53=0.5365

Q: Find the exact area of the region enclosed by the graphs of x = 9- y2 and x = 7. You must show on…

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Q: 2. Sketch a graph of the integrand, shade the region in question and use geometry to evaluate the…

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Q: Estimate the area under the graph of f(x) = 49 – x² over the interval [ – 2, 6] using five…

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Q: Approximate the area under the graph of F(x) = x + 10x2 subintervals. Use the left endpoints to find…

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Q: over the interval [1, 5] using eight approximating %3D Estimate the area under the graph of f(x) x²…

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.