Sketch the region bounded by the graphs of the functions. y = x2 + 9x – 14, y = 9x - 5 y y y 40- 40 20 30 30 10 20 20 -4 -2 4 -4 -2 2 4 -4 2 4 -10 –10 - 30 -20 - 20 -40 y 20 10 -2 2. 4. 20 -30 –40- Find the area of the region.

Q: 2. Find the area of the region bounded by the graphs of y = x2 – 6 and y-3 0.

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Q: Find the area of the region between the graphs of y = 20 - 2² and y=-2x - 15 over the interval 6 < x…

A: Please see the below picture for detailed solution.

Q: Find the area of the shaded region. 1) f(x) = x3 + x2 - 6x %3D 30+ g(x) = 6x 20- (3, 18) 10+ (0:0)…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Find the area of the region bounded by the graphs of the equations. y = -x2 + 10x, y = 0

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Q: Calculate the area of the region bounded by the graphs of the given equations. x 2y2- 4, x = y2 + 5…

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Q: Find the areas of the regions enclosed by the curves x + y2 = 3 and 4x + y2 = 0

A: Given The equation of curve is  x + y2 = 3 and 4x + y2 = 0  To solve both equation for x . x = 3 -…

Q: Find the area of the unbounded shaded region. 4 y = 2 - x y 3.0 2.5- 2.0 1.5 1.0 0.5 -5 -4 -3 -2 -1

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Q: x=2y-3 and x=1+4y=2y². (-5,-1) x=2y-3 x=1+4y=2y² 2 0 (1,2) 2

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Q: Find the area of the region bounded above by y = x2 + 8 and below by y = 4. 10- 4 2 X -10 8 6 4/-2…

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Q: Sketch the region bounded by the graphs of the functions. y = 25 - x, y- x2 - 11x + 50, x = 0 60 50…

A: We first sketch the region using a graphing calculator.  The first option matches this graph.

Q: Find the area of the region bounded by the graphs of the equations. y = -x² + 6x, y = 0

A: Given equation y=-x2+6x,  y=0. The objective is to find the area of the region. "Since you have…

Q: Graph the curve Y = - 2 x (x - 4)(x + 6)(x - 2) between the value of x [0, 4], then find the area of…

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Q: Find the area of the region bounded by the graph of y=x^2 -3x -4 and the -axis. y + 2 1 3 -1 -4 -5…

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Q: Sketch the region bounded by the graphs of the functions. y = 16 - x, y = x2 - 9x + 32, x = 0 y 40…

A: Consider the functions  y=16 − x, y=x2-9x+32, x = 0

Q: ) Graph the curve Y = x (x +5)(x -3) between the value of x [-5, 3], then find the area of the…

A: Area under the curve =∫ab(upper curve -lower curve)dx

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

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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 region bounded by: y y = x + -2 -1 1 -2 y = 2 – x2

A: According to the given graph we will find out the area bounded by the curves            Y=x and…

Q: Sketch the region bounded by the graphs of the equations g(x) = 4 / (2 − x),     y = 4, x = 0and…

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Q: Find the area of the region bounded above by y = -x2 + 2 and below by y = x2. 4 3 54 3 -14 1 2 3 4 5…

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Q: y=x2 -4x and y=2x -x2

A: y=x2-4x and y=2x-x2 Now, draw the graph of both the curve on the same coordinate system. From the…

Q: Which of the following represents the area of the region bounded between the graphs of y= x² + 3x…

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Q: Sketch the region bounded by the graphs of the given equations and find the area of that region.…

A: Area between curves

Q: Find the area of the region bounded by the graphs of the given equations. y =– x- 3' y = 0, x = 4, x…

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Q: Find the area of the region bounded by the graphs of the equations. x-1 y = √x-1, y 2

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Q: Find the area of the region bounded by the graphs of the equations y=1+°x y=0,x=0,^x=8

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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 to the right by x = -2y and to the left by x = y2. Y 4 54 3-2 -1…

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Q: 1/ Find the area of the region enclosed between the curves y= 2x²+10 and y=4x+16 and ,x=-2 and x-5?…

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Q: Sketch the region bounded by the graphs of the functions. y = x2 - 4x + 4, y = x2 - 12x + 36, y = 0

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Q: Find the area of the region bounded by y = x + 1 and y = (x2 - 6)/2.

A: Consider the following curves: y=x+1y=x2-62 Points of intersection of curves:…

Q: Sketch the region enclosed by the given curves. x - 6y, x- 20 + y2 VAVA -3 -2 -1 2 -10 15 -25 -15…

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Q: Rotate the region bounded by y= x- 2x + 4 and y X+14 about the X- axis

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Q: Find the area of the region bounded by the graphs of the equations. y = -x2 + 8x, y = 0

A: Let us plot the region.

Q: Determine the area of the region bounded by x=-y2  +10 and  x=(y -2)2

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Q: Find the area of the region bounded by the graphs of the given equations. y= 2x - 5x + 5: y = x² +…

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Q: Sketch the region enclosed by the given curves. y = 14 – x2, y = x² - 4 y y 15- 15| 10 10 5 5 -6 -6…

A: Here we have to sketch and find the area of bounded region.  The solution is following.

Q: Sketch the region bounded by the graphs of the equations f(x) = x5 + 2,      g(x) = x + 2 and find…

A: Consider the given equations, fx=x5+2 and gx=x+2 the graph of the equations on the same coordinate…

Q: Determine the area of the shaded region bounded by y = - x² + 8x and y = x² - 4x. AY 30 20 10 0-20…

A: The equation of the curves are : C1: y =-x2+8xC2:y = x2-4x To evaluate : The area of the region…

Q: Sketch the region enclosed by the given curves. y = 14 - x2, y = x2 – 4 y y 15| 5- 10 -6 -4 -2 2 5…

A: Given Data: Function 1: y=14-x2 ......1 Function 2: y=x2-4 ......2 For x=0, Substitute 0 for x in…

Q: find the area of the region bounded by y=(x+2)^2-1, the x-axis, x=-1, and x=2.

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Q: Find the area of the region bounded by the graphs of y = x2, y= x² – 2r +3 and y= 2x- 1.

A: Given curve is y=x2, y=x2−2x+3 and y=2x-1 we have to find the area of the region bounded by the…

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

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Q: Find the area of the region bounded by the graph of y = 2x2 − 3x + 2 the x-axis, and the vertical…

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Q: Consider the following equations. f(x) - y - 0 X- -2 X - -1 Sketch the region bounded by the graphs…

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Q: Find the area of the donut-shaped region bounded by the graphs of (x - 2)2 + (y + 3)2 = 25 and (x -…

A: It is given that the equation of two circles are x-22+y+32=25…

Q: Determine the area of the shaded region bounded by y = -x² + 8x and y = x² - 6x. Ay 30- 20 10 -30…

A: We first find the x values where the graphs intersect by setting them equal.…

Q: find the area of the region bounded by the two functions. y=-(1.6x+7.64)2 + 1.8 {-7.118<x<-2.278}…

A: According to the given information, it is required to find the area between two curves.

Q: Find the area of the region bounded by the graph of y=x^2 -3x -4 and the -axis. y + 2 3 1 -4 -5- 4o-…

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Q: Find the area of the region bounded by the graphs of the given equations. y = 1-x, y = 1-4x

A: Given: Equations: y = 1-x2, y = 1-4x To Find: Area of the region bounded by the graph of the given…