What is the area of the region bounded by the parabola y = x2 - x - 6 and the line y = -4. Round your answer into 1 decimal place and input it without the units.

Q: Find the area bounded by the following curve and line: y=4/x , y²-4y+2x=5 and the line y=4

A:

Q: Find the area bounded by the parabolas y^2 = 4 –x and y^2 = 4 – 4x.

A: I am attaching image so that you understand each and every step.

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: 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: Find the total area of the region between the curve and the x-axis. y= 2x-x2; 0sxs2

A: Explanation: Given curve is: y=2x-x2 Here x is from 0 to 2 To find the total area between the curve…

Q: Find the area enclosed by the x axis and the curve y= 4-x2

A: Find the area enclosed by the x axis and the curve y= 4-x2

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

A: See below attachment.

Q: Find the area bounded by the parabola x = 8+2y-y², the y-axis, and the lines y = -1 and y = 3.

A:

Q: Find the area of the region between the line y = 2x and the curve y = x²+ x – 2

A: y=2x --------(1) y=x2+x-2 -------(2) For points of intersection…

Q: Find the area of the region in the first quadrant bounded on the left by the​ y-axis, below by the…

A:

Q: What is the area (in square units) of the region bounded by the graphs of y=x²+2, and the x axis…

A: The area bounded by the curve y = f(x) from x = a to x = b is given by, Area=∫abf(x)dx

Q: Find the area bounded by the curve y^2+x-4y=5 and the y-axis

A: Given: curve is y2+x-4y=5

Q: Find the area of the region bounded by the parabola y = 4x², the tangent line to this parabola at…

A:

Q: What is the area of the region bounded by the parabola y = x2 - x - 6 and the line y = -4. Round…

A:

Q: FIND THE AREA BOUNDED BY THE PARABOLA x = 8+2y-y², THE Y-AXIS, AND THE LINES y = -) AND y = 3

A:

Q: Find the area between the curves: y = x³ – 10x? + 16x - x³ + 10x² – 16x 3 and y = -x° + 10x?

A: Consider the figure given below :

Q: Compute the area of the region which lies to the right of the parabola x = y^2 – 12 and to the left…

A:

Q: Find the area of the region between the line y = 2 - x and the x-axis, for 0 < x≤ 4.

A: In this question, the concept of integration is applied. Integration Integration is a method of…

Q: What is the area (in square units) of the region bounded by the graphs of y=x2+2, and the x axis…

A:

Q: Find the area between the curve y = x3 – 6x2 + 8x and the x-axis.

A: We have to find the area between the curve y=x3-6x2+8x and the x-axis.

Q: . Find the area of the region bounded by the curves y = 2x? - 8x + 12 and y = -2x+ 12.

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

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

A:

Q: Find the area bounded by the line x-2y + 10 = 0, the x-axis, the y-axis and x=10.

A:

Q: What is the area of ​​the region between the parabola y=x^2-1 and the line y+2x=2?

A: The solution is given below in the next step:

Q: Find the area bounded by the parabolas y = 6x - x2 and y x- 2x. (Round answer to three decimal…

A:

Q: ² = 2x, x – y = 4.

A: Topic = Application of integration

Q: What is the area of the region bounded by the parabola y^2 = 2x and the line x-y-4 = 0? *

A: See the details solution in below

Q: What is the area of the region between y=x²-2x-3 and the x-axis from to 6? x=0

A: Area bounded by the curve fx=x2-2x-3 and x-axis on interval 0, 6

Q: Find the area between the curves.  y = |9x|  ,  y= x^2 - 10

A: First we graph the functions. They cut at (-10,90) and (10,90)Area from x=-10 to x=0 is equal to the…

Q: Find the area between the curves. y = x4/3, y = 2x1/3

A: y = x4/3, y = 2x1/3

Q: the

A: Given curve y^=x and y=√x  Line x-4=0   Find area ?

Q: Find the area of the region in the first quadrant bounded on the left by the y-axis, below by the…

A:

Q: Find the area of the region bounded by the parabola f(x) = 16-x^2 and the lines  x=0 and x = 4 and…

A: Givenf(x) = 16-x2lines x=0, x=4 and x-axis(y=20)

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 in the second quadrant bounded by the curve y = x' +4x² – x – 4 and the x – axis.

A:

Q: Find the area lying between the parabola y=4x - x^2 and the line y = x.

A: The given curves are y=4x-x2 and y=x. To find the area between the curves we will firstly plot these…

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

A: Given,      y= x2-2x-3and the x-axis  from  x=0 to x=6.

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 parabola y = 2x², the tangent line to this parabola at…

A: The given parabola is: y=2x2 The tangent line at (5,50) has the slope: mx=5=dydxx=5          =4xx=5…

Q: Find the area of the region enclosed by parabola y=3-x2 and the line  Y=3-2x

A: We have to find the area of the region enclosed by parabola y=3-x2 and the line y=3-2x. The point of…

Q: Find the area of region enclosed by the curve y = x' -4 x +3 and the line y =3.

A:

Q: Calculate the area described by the equation y= -6x² +24x + 10, bounded by the lines x = 0 and x =…

A:

Q: What is the area of the region bounded by the parabola y = x^2 and the line y = x?

A:

Q: Find the area of the region between the x-axis and the curve .3 y = x³- 4x - 2 < x<2 ?

A: Let us first plot the graph of y=x3-4x, -2≤x≤2.

Q: What is the area of the region between y =x-2x-3 and the x-axis from x=0 to x-9?

A:

Q: 2 - 41 -y =0 /2

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

Q: Find the area between the curves: y = x3 – 12x? + 20x and y = -a3 + 12x2 – 20x

A: Solution )

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 bounded by the curves, y = -6, y = 6 , the y – axis and the parabola y2…

A: