Find the area A of the region between the graphs of the equations y? = 9x x2 = 9y A = 27 9.

Q: Find the area of the region between the curve y 4 In x and the horizontal axis for

A: We have to find the area of the region between the curve  y=4 ln x and the horizontal axis for…

Q: Find the area bounded by the curves y2 = 4x 4х + у — 6 %3 0

A: We need to find the area bounded by the curves y2=4x4x+y-6=0

Q: Sketch the region bounded by the graphs of the equations y = −x2 + 3x + 1, y = −x + 1 and find the…

A:

Q: : Find the area of the region in the first quadrant that is bounded above by y x and below by the…

A: SOLUTION-

Q: Find the area of the region bounded by the graphs of the equations.              y = 1 − x4,    y =…

A: We sketch the region using a graphing calculator.

Q: What is the area of the region enclosed by the curve y=x(x-1) (x-2) and the x-axis?

A: Given:            Curve: y=xx-1x-2             Area =∫01xx-1x-2 dx+-1∫12xx-1x-2 dx…

Q: y= -x² + 9; 0 sxs5 x< + 9; 0 < x< 5

A:

Q: Find the area between the curves. y = x2 - 18, y = x - 6

A: y = x2 - 18, y = x - 6

Q: Find the area of the region in the first quadrant that is bounded above by y = √x and below by the…

A: Now the diagrammatic representation of the area is,

Q: Find the area of the region under the curve y 3x +2x, the x-axis, x=0 and x 4. 0

A:

Q: find the area between the curves 2x^2+4x+y=0 and y=2x

A: Given that: 2x2+4x+y=0    and   y=2x

Q: Find the area between the two curves on [2,3]. y = ex y = (1/x)

A:

Q: Find the area of the region between the curves 4x + y^2 = 12 and x =y.

A: 4x+y2=12    and  x=y

Q: Find the area between the curves. x = 0, x = 3, y = 2e3x, y = e3x + e6

A: To find the area between the curves, f(x)=2e3x and g(x)=e3x+e6, use the formula, A=∫ab[g(x)-f(x)]dx.…

Q: Find the area of the region bounded by the curve y=x^2−1 and the line y=15.

A:

Q: Find the area in the first quadrant bounded by the cubic 3x - x^3 and the lines x = 0 and y = 2.

A:

Q: Determine the area of the region between the two curves by integrating over the y-axis. x = y² and x…

A:

Q: Find the area of the region bounded by the graphs of the equations.                       y = x3 +…

A: for finding area we need to first draw the graph of given data then use suitable limit and then…

Q: Find the area of the region cut from the first quadrant by the curve x1/2 + y1/2 = a1/2.

A:

Q: Find the area between the two curves y = x^2 and y = 2x – x^2

A: Given:     To determine: The area between the two curves.

Q: Find the area of the region bounded by the graphs of the equations.                  y = √x(1 − x),…

A: Given function is y=x1-x. Graph the function as shown below.

Q: 4 Find the area of the region bounded by x = 2y²+1 and the y-axis using the horizontal strip.

A:

Q: 2 y = 12 – 3x", y= 4 – x- — х |

A: Let's find.

Q: Find the area of the region between the graphs of the equations = x and y = 2 – x.

A:

Q: Find the area of the region which is bounded by y = sin x - 4, y = 4x, y-axis and x = 3. Leave your…

A: Area bounded by the given curves :If f(x) and g(x) be two continuous function on a,b and f(x) ≥g(x)…

Q: Find the area of the region bounded by the graphs of the equations. y = Vx(1 – x), y = 0

A: we have y = x(1-x) clearly x≥0we find area of the region        y≥0 if 0≤x ≤1and  y≤0 if x≥1…

Q: Find the area of the region bounded by the graphs of the given equations.   y = 3x + 18 , y = x 2.

A:

Q: Two curves having an equation of 2y² and y = 2x² x = intersect each other. Compute the area between…

A: A detailed solution is given below.

Q: Calculate the area between the curves y = 7- 2x2, y = x2 + 4, and the x-axis.

A:

Q: find the area of the region bounded by the parabola x=y^2+2 and the line y=x-8

A:

Q: Find the area of the region bounded by the graphs of the equations y = x² and y = vx.

A:

Q: Find the area bounded by y=2*, y = 2x2, the y - axis and x = 1 Write your final answer in two…

A:

Q: Find the area between the curves x = 10 − y2 and y = x − 8

A:

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

A: Given:

Q: find the area of the region bounded by the curves y=12x/(x^2+4) the x-axis x=1 and x=4

A: The region corresponding to the equations is given below, Consider an elemental vertical strip of…

Q: Find the total area of the region between the curve and the x-axis. 7) y = 2x - x2; 0 sx<2

A: Given, The curve  y = 2x-x2   ;  0≤x≤2 We have to find the area of region between the curve and the…

Q: Find the area of the region bounded by the graphs of the equations. y = Vx(4 – x), y = 0

A: Given: The equations are y=x4-x  and  y=0.

Q: Find the area of the region bounded by the curve y = ln x, the x axis, and the line x = e^2

A:

Q: Find the area bounded by y=2%, y = 2x2, the y - axis and x = 1 Write your final answer in two…

A:

Q: Find the area between the curves x=y^2/2 and y=x-4

A: First we draw the curves using graphing calculator.

Q: Find the area bounded by the curve y^2 + x - 4y = 5 and the y-axis. Input only the numerical value…

A:

Q: Find area of the region under the curve y=8−3x^2 and above the x-axis

A: First we find where y=8−3x2 cuts x axis. We set y=0 and solve for x

Q: Find the area of the region in the first quadrant bounded by the line y=3​x, the line x=4​, the…

A:

Q: What is the area of yhe region in the first quadrant defined by y=x^2 and y=4

A: Area of the region in the first quadrant defined by y=x^2 and y=4

Q: Find the area of the region bounded by the graphs of the equations. y = Vx(4 - x), y = 0

A: Sketch the area of the region bounded by the graphs of the equations y=x4-x and  y=0 as shown below.…

Q: 2 - 41 -y =0 /2

A: Area of curve = integration of ydx from x1 to x2

Q: Find the area of the region bounded by the graphs of the given equations. y= 3x+4, y=x?

A: Given, y =3x+4  and  y = x2  We have to area of region bounded by graphs of the y =3x+4 and y = x2

Q: What is the area of the region between  y=x^2 -2x-3 and the x-axis from x=0 to 6?

A:

Q: Find the area of the region in the first quadrant bounded by the line y = 8x, the line x = 1, the…

A: Intersection Points are:  The line x=1 will intersect the x-axis at (1,0) because y is 0 at…