f(x) = y = 0 X = -2 X = -1 Sketch the region bounded by the graphs of the equations. y 8p 6 4 -6 -4 6 - 6 4 6. -6 -4 -2 -6 -6 -6F

Q: Find the area of the region between the graphs of y = 16 – x² and y = - 3x – 24 over the interval –…

A: The objective is to find the area.

Q: Find the area A of the region between the graphs of the equations y² = 3x x2 = 3y

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Q: 1 f(x) = 6(1 + x2) g(x) = x? %3D 12 (a) Use a graphing utility to graph the region bounded by the…

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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 region bounded by the graphs of the equations: f (x) = V5x – 10 g(x) = 2x – 4

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Q: Find b such that the line y = b divides the region bounded by the graphs of the y = 9 − |x| and y =…

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Q: Find a such that the line x = a divides the region bounded by the graphs of the equations into two…

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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: The area of the region enclosed by the two curves y=x²-4 and y = x - 4 is given by

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Q: Q2: f(x. y)- x/y over the region in the first quad- rant bounded by the lines y x,y 2x,x 1,x-2

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Q: R is the region bounded by y = 4 – x2 and the x-axis and it is revolved about y = 4.

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Q: The region between the graphs of y = x² and y = 3x is rotated around the line x = 3.

A: Given data:   The expression first curve is: y=x2. The expression for the second curve is: y=3x. The…

Q: Find the number k > 1 such that the region bounded by the curves y = 1, y = x-2, and x = k k has…

A: Given curves are y=1 and y=x-2 and interval is x=1 to x=k

Q: 4. Find the absolute extrema of the function f(x, y) = ry-x-3y on the triangular region with…

A: To find the absolute extrema of the function f(x,y).

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: 3. Find the area of the region bounded the curve f (x) = x² line y = x + 2. Show your complete %3D…

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Q: Sketch the graph of the curve y=(x-p)(x-p-1)(x-p-2) Shade the area of the region bounded by the…

A: y=(x-p)(x-p-1)(x-p-2) Notice that variation in value of p, will merely translate the function and…

Q: V2y + 6 5. Find the area of region bounded by the curves and *-y-1.

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Q: nsider the following equations. Fy) = y? + 7 glv) - 0 y- -1 y = 2 etch and shade the region bounded…

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Q: Let R be the region bounded by the parabola y = x − x2 and the x-axis. Find the equation of the line…

A: Given information:

Q: Given y = 3x –- 2x +1, y =-x² + 2x +1 and a straight line y = 0.5x ; where x>0, 1. Sketch the curves…

A: Given y=3x3-2x2+1  , y=-x2+2x+1 and a straight line y=0.5x. We need to : 1) Sketch the curves and…

Q: 2. The region between the graph of y = 4 - x² and the x-axis.

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Q: Find the area of the region bounded by the graphs of the equations. y = −x2 + 2x,    y = 0

A: y=-x2+2x, y=0 The diagrammatic representation of the area of the region bounded by the graphs of the…

Q: Find the area of the region bounded by the curves, x = -6, x = 6, - axis and the parabola x2 – 4y –…

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Q: Consider the following equations. y = x2 - 4 y - -x + 3 X - 0 X - 2 Sketch and shade the region…

A: Topic = Application of derivative

Q: /2y +6 5. Find the area of region bounded by the curves and *- y-1

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Q: The area of the region between the curve y x'-6x+ 8 and the x-axis & x=0; x= 3 is given by -6x+8)kke…

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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: Find the area of the region bounded by the curve y2=4x and the lines x = 1 and x = 4. 24 square…

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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: The region is bounded by the curve y = 6x – x² and y = x² – 2x –

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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: 4. Find the absolute maximum and minimum of the function on the given closed bounded region. y…

A: Given function is fx,y=ex2-4x-2y+y2 Closed region is x=0,y=0 and x+y=3 The objective is to find the…

Q: 3. Find the area of the region enclosed by the two curves y = x² and y = -2x² + 3x.

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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: of the given equations. y = x² - 2x - 24, y = -x² 1

A: Given curves are      y=-x2             . . . (1)    y=x2-2x-24  . . . (2) The graph is given be

Q: Find a such that the line x = a divides the region bounded by the graphs of the equations into two…

A: Given,    y = x,  y = 4  and  x = 0 So the region bounded by these curves is given by shaded region…

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

A: Given that, y=10x2-2x-24

Q: The region is bounded by the curve y = 6x – x² and y = x² – 2x – 10

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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: Sketch the region bounded by the graphs of the functions. y = x2 + 9x – 14, y = 9x - 5 y y y 40- 40…

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Q: find the absolute maximum and minimum valuesof ƒ on the region R. ƒ(x, y) = x2 + xy + y2 - 3x + 3y…

A: Let us consider the given function, f(x, y)=x2+xy+y2-3x+3y .....(1)  The triangular region cut from…

Q: ● If the pollution index of a point (x, y) is given by p(x, y) = x². Calculate the total pollution…

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Q: f the region bounded by the curves y = x3-8x2

A: The region bounded by the curves are y=x3-8x2+20x , y=-x2+8x…

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…

Q: Consider the following equations. 4 f(x) = y = 0 X = -3 X = -1 Sketch the region bounded by the…

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Q: 1. Determine the area of the region under the curve y=x√(x² - 1) 2. Determine the area of the region…

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