Find the area of the given region. Use a graphing utility to verify your 1 + In x3 y = y 1 X. 1 3 4 -1

Q: 9. y = x²; y = 8-x²; y = 4x +12 %3D

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Q: Find the area of the region blinded by the graphs of the given equations. y=6x, y=x2

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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 M. 1 x2 +2 and the line y = -x - 2 21 Let M be the region bounded by the parabola y…

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Q: Find the area of the region(s) enclosed by the curve y = |2x - 6|, the x-axis, and the lines x = 0…

A: Given: y=2x-6x=0 and x=4

Q: Find the area of the region in the first quadrant bounded by the graphs of the equations r = 6 and r…

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

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Q: Find the area of the region bounded by the parabola y² = 2x2 and the line y = x - 5. 16 17 18 19…

A: Given: y2=2x-2 and y=x-5 Now find the point of intersection between the given curves. y2=2x-2 ;…

Q: Find the area of the region bounded by the following y = x+1, y = 9 – x², x = -1 and x = 2.

A: Explanation of the answer is as follows

Q: Areas of regions Find the area of the following region.

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Q: Find the area of the region(s) enclosed by the curve y = |2x - 6|, the x-axis, and the lines x = 0…

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

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Q: 2. Find the area of the region enclosed by the equations below. x - y? = 0 and x + 2y? = 3

A: Please see the explanation below

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: Find the area of the shaded region. y =x4. 32 -2 -5- -10+ -15+ -20- 30+ 35- 40- y = -x 4 O 256 516…

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

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Q: Find the exact area of the region enclosed by a = t - 9t and y = 4t/2 and the y-axis. Be sure to…

A: To Find: The area of the region enclosed by x=t2-9t and y=4t1/2 and the y-axis.

Q: Find the area of the region. f(x) g(x) x2 + 2x + 1 = 2x + 17 y 25 20 15 10 -8 -6 -4 -2 4 6. LO

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Q: Compute the area of the shaded region. y=-x+4 p+X =Á O 2 16 8. 32

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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. 1 y =- x2 - 2x + 5

A: Given data: The given function is y=1/(x2-2x+5). The given limits are [a, b]=[1, 3]. The given…

Q: 1. the loop of y? = x * (3 - x) %D

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Q: 1. Find the area of the shaded region analytically (without a calculator). y= 0.5sec² (x) 3 2…

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Q: Find the area of the region bounded by the graphs of the given equations. y = 4x+5, y =x? The area…

A: Given curves are, y=4x+5y=x2

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: Sketch and shade the region bounded by the graphs of X = y+1 and x + 2y = 4 and find the area of…

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Q: Find the area of the region bounded by y = 4(x + 2), x = 2 and the x-axis. Answer:

A: Given query is to find the area bounded by the curves.

Q: Find the area of the given region.

A: Integration is used to find the area under a curve. So, on integrating the function y=x-x2 from x=0…

Q: Find the area of the region. y? = x°(1 - x²) y 2- -2 2 -2+

A: The question is from the topic of application of Derivatives

Q: 3) Find the area of the region enclosed by the following curves. y = x² and y = -x² + 8x + 10 %3D

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Q: Find the area of the given region. y = 1/x2

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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 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: 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: 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 given region. y = x − x2

A: The given region is the colored portion of the following graph: Lower limit of x value is 0 and the…

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: y=-x - 2x+15 y = x+11 R R

A: We find the area of shaded region R given in the graph above. We first find m,n by solving…

Q: 1. AY -x² +1 y=x

A: we have to find out

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: Calculate the area limited by the graph of the equation r2 = 4sin2∅

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Q: Find the Area of the region inclosed by x=y3 and x=y1/2-6

A: Please find the solution below:

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: 2. Use a geometric formula to determine the area of the region given by f: V25 – x5dx. -5

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Q: 10 2. Find the area of the region enclosed by y = 2x – x² and y = -3.

A: Given curves, f(x)=y=2x-x2 g(X)=y=-3

Q: Find the area of the region х — 1 b. f(x) =' y 0.5 1 3.

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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: 2. Find the area of the region bounded by y =x-1and y 3– x. Sketch the graph. Hint: Use vertical…

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