Find the area of the region described.   The region bounded by y= absolute value x−16 and y=x/3

Q: Find the area of the region between the curves y 3x - 3 and y = - 2x² + 2 from x= - 1 to x= 1. The…

A: we draw the graph of given curve and find the required area . see 2nd and 3rd step.

Q: 1. Find the area of the region R (shaded region). a) y =x-2x+ 2 R

A: Area under the curve is nothing but the Definite Integral with limits being the initial and final…

Q: Find the area of the region between the curves y =x -1 and y= - 3x +3 from x = - 1 to x = 1. The…

A: Given curves are, y=x2-1y=-3x2+3

Q: f(x) = 4x1/3 + x4/3 Find the area of the region bounded by the graph of the function f and the…

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Q: 3. Find the area of the region bounded by the graphs of the given equations. 2 y = 4x, y = x? The…

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Q: Find the area of the region enclosed by the given curves y = (square root) x - 1 x - y = 1

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Q: problem in photo attached

A: To find the area of the region between the  curves

Q: Find the area below f(x) = -x + 4x + 3 and above g(x) = -x' + 7x² – 10x + 5 over the interval 1 <x<…

A: f(x)=-x2+4x+3   and g(x)=-x3+7 x2-10x+5and area below f(x) and above g(x).1≤x ≤2

Q: Find the area of the region under the graph of the function fon the interval [-1, 2]. f(x) = 4x2 + 5…

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Q: 2. Determine the area of the region bounded by the curve y = x³ - x² - 2x, and a. the x-axis the…

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Q: x2 – 7x + 20 and Find the area of the region bounded by the graphs of the functions y = y = 2x + 6.…

A: Given, Functions  y =x2 -7x+20  and y =2x+6 We have to find the area of region bounded by the graphs…

Q: 8x and the interval-45x54 of the x-axis. Find the area of the region between the curve y = 1+x? O A.…

A: Given function is y =f(x)=8x1+x2 Given interval -4 ≤x≤4 on x axis In order to find the area of…

Q: Q1: Find the area of the region between the curve y x-3x and the line y = x.

A: Let us consider the curve y=f(x) and y=g(x) between the interval [a,b] The area under the curve is…

Q: a)i) Calculate the area of the region enclosed by y=x2 , lines x=1 , x=3 , and the x− axis. Round up…

A: The Given curve is y = x2 The equation of the parabola is  y = x2. The vertex is at (0 , 0 ) and the…

Q: Consider the region bounded by y = mx, y = 0, x = 0, and x = b. (a) Find the upper and lower sums to…

A: Given that, y=mx, y=0, x=0 and x =b. Since y=mx so m=y/x = h/b  [x=b and let y=h =perpendicular…

Q: Find the area under the given curve Y3VX +2; from x = 0 to x = 16 The area is || (Simplify your…

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Q: Find the area of the region described. The region bounded by y=4,096 /x and y 64x The area of the…

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Q: Find the area of the region bounded by the equations below. For each problem, clearly sketch the…

A: Topic : application of integration

Q: the area between the following curves.  x = -3, x = -1, y = x3 + 8, and y = 0

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Q: B. Find the area bounded by the curves, the axis and the given values of y. Sketch the graph. 3.…

A: Given problem:- B. Find the area bounded by the curves, the axis and the given values of y. Sketch…

Q: Find the area of the region bounded below by the graph of each function and above by the x-axis…

A: The given function is f(x)=x2-9 To find: The area of the region bounded by the curvef(x)=x2-9  by…

Q: Find the area of the region in the first quadrant that is bounded above by y = vx and below by the…

A: Given curves are y=x   .......1y=x-2    .......2

Q: 12x 5. Find the area of the region bounded by the curves y = the x-axis, x = 1, and x = 4.

A: Given-  y=12xx2+4. To Find- The area of the region bounded by the above curve , x-axis, x=1 and x=4.…

Q: Find the area bounded by the graphs of the indicated equations over the given interval. y=x2 - 21; y…

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Q: Find the area of the region between the graphs of y = 16-2² and y = -4≤ ≤ -1. The area is 2x+8 over…

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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 interval [-…

A: Given: The expression to calculate the area under the curve 'y=f(x)' and the x-axis between x=x1…

Q: Find area of the region under the curve and above the x-axis for  2≤ x ≤4.…

A: To determine :  The area of the region under the curve y = 8x2 ex -1x2 above the x - axis for…

Q: Find the area of the region bounded by the equations below. For each problem, clearly sketch the…

A: Solution

Q: Determine the area of the shaded region bounded by y=-x² + 6x and y=x² - 4x. The area of the region…

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Q: ketch the region enclosed by the given curves and find its area. y = (square root) x-1 x - y = 1

A: Find your answer below

Q: Find the area of the region enclosed by the curves between their intersections y= 3x and y = x The…

A: Plotting the rough diagram of the both curves gives us a better idea.

Q: Find the area of the region bounded by: x = y? + 1 V3D -X - 1 y = 2 y = - 2

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Q: Find the area of the region bounded below by the graph of f and above by the x-axis from  x = 0  to…

A: Given,             fx=14x-x         Area=∫0160-fx dx                =∫016 0-14x+xdx…

Q: Find the area of the region enclosed by the curves x = 4y2, x = 0, and y = 2. %3D The area of the…

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Q: Find the area of the region enclosed by the curves y = x - 1 and y = 3. %3D The area of the region…

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Q: x and y -2x Find the area of the region enclosed by y

A: Solution is given below:

Q: y =  x2+3     y=11-x2 Find the area between the curves

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Q: Find the area bounded by the graphs of the indicated equations over the given interval. y =x - 19; y…

A: First I have written a short note about area between two curves , just use them for the given curve…

Q: Find the area of the region between the curve and the​ x-axis. f(x)=1−x2​, from −3 to 3

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Q: Find the area under the given curve. y%3vx +6, from x= 0 to x = 1 The area is (Simplify your…

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Q: Find the area of the region enclosed by the curves y² - 5x = 9 and x - y = 1. The area of the region…

A: Please refer to the image below

Q: Solve the problem. Find the area of the region enclosed by the curve y = x sin x and the x-axis for…

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Q: Graph f(x) and g(x), Shade the region between the two curves, and find the exact value of the area.

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Q: Find the area of the region between the graphs of y = 16-2² and y=-62 +9 over the interval -3 ≤z≤1.…

A: Given: y=16−x2 and y=−6x+9 Let's first find the intersection point of y=16−x2 and y=−6x+9 16-x2…

Q: g(x) Find the area of the region enclosed between f(x) = 0.9x² + 6, g(x) = x, r = -8, and a 4 %3D…

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Q: Find the area bounded by the graphs of the indicated equations over the given interval. y=x2-16; y=…

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Q: Find the area between x2 = -2y + 8 and the x - axis.

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Q: 1. Find the Area of the shaded region. а. y (1/2)x2 + 2 y = -X -2 y = x3 - x2 - 6x 2. b.

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Q: Find the area bounded by the graphs of the indicated equations over the given interval. y=x* - 23; y…

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Q: Find the area of the region enclosed by the curve x = 3 sin yvcos y and the line x = 0, 0 s ys5. The…

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