Find the area of the given region. Use a graphing utility to verify your result. 1 + In x3 y = In (6)+ In( 6 y 1 - x 1 2 3 4 5 7 8 9 -1

Q: 11. Find the area of the region bounded byy = (x - 1)² + 1, the x -axis, x = -1, and x = 2. A. -6 C.…

A: Here we are using integration method to find the area of the given region.

Q: 4. Find the area of the region bounded by the graphs of f (x) = x³ +x2 – 6x and g(x) = 2x – x2 20 А.…

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Q: The shaded region has what area? 1.5 y = x 0.5 -0.5 0.5 1 1.5 2 2.5 3 3.5 4 4.5 1 -0.5 Y = (x – 3) 2…

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Q: Find the area of the region. y = 16 – x4 15 10 -3 -2 -1 1 2 3

A: Given:- y = 16-x4  To find:- Area of region bounded by curve and x axis

Q: x² + a? = 1

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Q: Find the area of the region described in the following.   The region bounded by y = x2 - 2x + 1 and…

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Q: Which of the following gives the area of the region between the graphs of y = |x| and y = 5

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Q: Find the area of the region between y = e* and y = 7* for x in [0, 8]. O a. -e8-17 ОБ. е-18 O c.…

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Q: Find the area of the given region. Use a graphing utility to verify your result. 1 + In x3 y y 1 — х…

A: As per given we have to find area Of region

Q: In the question  given follows,use a graphing utility to graph the region bounded by the graphs of…

A: Find the region bounded by the graphs y=110xe3x, y=0, x=0, x=2. Plot the region bounded by the…

Q: Find the area of the region described in the following.    The region bounded by y = ex, y = 2e-x +…

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Q: Find the area of the region. x- 5 y 1.0 0.8 0.6 0.4 0.2 5 10 15 20 25

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Q: Find the area of the region bounded by the graphs of the given equations. y =x+ 20, y =x? The area…

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Q: 5. Find the area of the region bounded by x = y², x =1, y =2 and y =1. (See figure below.) 3 y = 2…

A: To find- Area of the region

Q: Find the area of the given region using any method. y 1 49 - x² y

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Q: 12. Find the area of the region enclosed by x = 8 – y² and y = 2 – x. Draw the region.

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Q: Find the area of the region described in the following. The region bounded by y = 4x + 4, y = 6x +…

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Q: Which of the following gives the area of the region between the graphs of y = |x| and y = 7

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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: Find the area of the region(s) enclosed by the curve (x) the x-axis, and the lines x = -1 and X= 2.…

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Q: Sketch the region bounded by the graphs of the equations, and find the area of the region. 8(x) =…

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Q: Find the area of the region enclosed by the graphs of the given equations by partitioning the…

A: Given: y=x, y=x3, about x-axis

Q: Find the area of the region described in the following The region bounded by y = x,y 1 = 0, and x =…

A: We have, y=x, y=1x , y=0 and x=2 On solving further, x=1xx2=1x=1,-1 Plotting the region bounded by…

Q: 1. Determine the area of the region enclosed by x = y? - 3 and y = x - 1.

A: Given the two function  x=12y2−3y=x−1

Q: In the given question , sketch the region bounded by the graphs ofthe equations and find the area of…

A: Area bounded by curves can often be calculated with an appropriate definite integral. The area…

Q: Find the area of the region enclosed by the given graphs. a)f(x) =x^2+x-9 and g(x) = 3x-1 b)-x^2+…

A: Let us take two curves f(x) & g(x), then area of region enclosed between these curves is given…

Q: Find the area of the shaded region. 20 (1, 7e) 15 y= 7e 10 5 -1.0 -0.5 0.5 1.0 1.5 2.0

A: Here, let f(x)=7ex and g(x)=7xex2

Q: The shaded region has what area? 1.5 y = x 0.5 0.5 1 1.5 2 2.5 -0.5 3.5 4 4.5 1 (r – 3) -0.5 -1

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Q: Draw the figure showing the region and find the area of the region bounded by the curves. y = 4x –…

A: Area of the region is obtained by definite integral . There are two ways of finding area , first…

Q: Find the area of the region. x) - Se/s 8. 2 2 3 4 5 -1

A: Given function f(x)=5ex/5

Q: Find the area of the region described in the following.  The region bounded by y =  6x and y = 3x2 -…

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: 3. Find the total area between the given region and the x-axis .2 a) y = -x - 2x,-3 < x < 2 b) y =…

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Q: 17. Sketch the region and find its area (if the area is finite): S = {(x, y) | x 2 1, 0<yse2}

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Q: 2. Find the Area bounded by the curve y = 4-x? and the x-axis. 3. Find the area of the loop of the…

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Q: Find the area of the region described in the following.  The region bounded by y = x3 and y = 9x

A: It is given that, the region bounded by y = x3 and y = 9x We have to find the area of the region.

Q: Find the area of the region described in the following.   The region bounded by y = 3x - x3 and y =…

A: Find the area of the region described in the following.   The region bounded by y = 3x - x3 and y =…

Q: Find the area of the region described in the following The region bounded by x = y - 4 and y 3

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Q: Find the area of the region bunded by the graphs of the given equations.     y= 2x+15 y=x^2…

A: Given Data: Equation 1: y=2x+15 Equation 2: y=x2 The figure below indicates the area bounded by the…

Q: 8. Find the area of the region bounded by the graphs of f(x) = 6x – x² and g(x) = x² – 2x A. - 64 B.…

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Q: (c). Find the area of the region enclosed by the graphs of y=\x+3,x=-3 and y=2.

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Q: Find the area of the region. y- 16 - x y 15 10 5 3 2 2 3

A: The required area is of the region bounded by the x axis and under the curve y=16-x4. The required…

Q: Find the area of the region described in the following The region bounded by y = Vx,y = 2x - 15, and…

A: Consider the curves  y=xy=2x−15y=0

Q: В. Find the area enclosed by the given curve, the x-axis, and given lines. 1 -x+10, x=1 and x=3 3 4.…

A: Using area formula,

Q: Consider the region B under the graph of y = 3x² + 1, x [1,3], and above the x-axis. Find the area A…

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Q: Solve for what is asked. 1. Find the area of the region bounded by f(x) = x³, the x-axis, and the…

A: This question is based on application of Integration.

Q: Find the area of the given region bounded by the graphs of y1, y2, and y3, as shown. y1 = x2 + 2, y2…

A: Given that, y1=x2+2y2=4-x2y3=2-x We have to find the area of the region bounded by the above…

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 of the region described in the following 5 1 The region in the first quadrant bounded…

A: Given: y=52-1x, y=x For finding area of the region enclosed by given curves in first quadrant, first…

Q: a) Sketch and find the area of the region determined by the intersections of the curves. y = x² – 1,…

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