Consider the following equations. 4 f(x) = y = 0 X = -3 X = -1 Sketch the region bounded by the graphs of the equations. 6 6 6 4 4 X -- 4 6. -6 -4 2 4 6. -- 4 6 -6 -6 -8

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

A:

Q: Sketch the region bounded by the graphs of the functions. y = x3 - 6x, y = -2x² – 3x

A:

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

A:

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

A:

Q: Find the three areas of the region bounded by y=2x^2+10, y=4x+16 and the lines x=-2 and x=5.

A: Given: y=2x2+10y=4x+16x=−2x=5

Q: What is the area (in square units) of the region bounded by the graphs of y=x+2, and the x axis from…

A: topic - area under the curve

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

A:

Q: Consider the following equations. y = x2 – 9 y = -x + 5 x = 0 x = 2 Sketch and shade the region…

A: Refer to the figure shown below: The grey shaded region will be the bounded region as shown in the…

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

A:

Q: In the given equation  find a such that the line x a divides the region bounded by the graphs of the…

A: Given, y=x,y=4,x=0     Find a value of a such that the line x=a divides the region bounded by the…

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

A:

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

A:

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…

A:

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

A:

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

A:

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

A:

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.

A:

Q: #18 & #19

A: 18. Area under the graph is the integral of the function over the given interval.

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: 1. Sketch the graphs of x = 6y-y² and x = y² - 8. Shade the region bounded between the two curves.…

A:

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

A:

Q: Rotate the region bouNded by X= (y-3)² and x= 16 about the x=-5

A: 1st we will find shaded region bounded by given curve and line

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…

A:

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?…

A:

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

A:

Q: or the egion bounded by the graphs or the equations. Use a graphing ucility to y = e", y = 0, x = 1,…

A: Given Region bounded by  y=ex , y=0  , x=1 and x=3

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 +…

A:

Q: y = -a(x – h)? +k (-2.1 , 2.9) (1,n)

A: The given curve is y=-ax-h2+k. Here h=-1 and k=11 given. So the curves becomes y=-ax+12+11. Also the…

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: 5. Find each of the two areas bounded by the curve y = x3 – 4x and y = x² + 2x. Solve in two ways.

A: Consider the two curves: y=x3−4x and y=x2+2x. The area of the region bounded in interval x∈a,b by…

Q: What is the area (in square units) of the region bounded by the graphs of y=x+2, and the x axis from…

A:

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

A: we have, y=14-x2,y=x2-4 region between two curves will be :

Q: 2. A cafe estimates a monthly profit (in thousand pesos) of P(x, y) = = 27 – x2 – y² + 6y if they…

A:

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: 3- Since the D x=1 line is a region bounded by the x-axis and the graph of the y= x^(1/2) function,…

A: y = x^(1/2) is a parabola with vertex (0,0). Draw it and solve it.

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

A:

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

A:

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

A: Given: y = 9 - x2,  y = 0 To find: The value of b such that the line y = b divides the region…

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

A:

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

A:

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 given region y = sech (x/2)

A:

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

A: