1. Draw a picture of the region bounded by the curves y=x² -9 and y = –8x. Then, SET UP – BUT DO NOT EVALUATE – an integral for the area of the region.

Q: 2. Find the cerntroid of the area bounded by the curve y= 2x + 1 x+y =7 and x= 8

A:

Q: 2. Find the area bounded by the curves y = x² and y = 2 – x².

A:

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

A: The area of the region enclosed by the given curves has been obtained below.

Q: 1. Sketch and find the area of the region bounded by y = In x, y =1- x and y = 2.

A:

Q: Set up an integral representation of the area of the region bounded by: y=x3 and y=4x in the first…

A:

Q: 7. Compute the area of the region R enclosed by the curves y = x² - 1 and y = 1- x.

A: We have to find out the area

Q: Set-up the integral to calculate the area of a region bounded by x-y=3 and y=x2 -6x+9 ?

A: Given x-y=3 and y=x2-6x+9 To find area of region between these two curves:

Q: 3. Find the area bounded by the curves x2 + y = 0 and 2x + y + 3 = 0.

A:

Q: 16. By inspection, a simply-connected and continuous region R A. has no holes and is closed. B. has…

A: Introduction: The application of connected regions is very significant in different fields of…

Q: Find the area with respect to y of the region bounded by x = y² + 2 , x = 0 , y =– 1, and y = 2. |

A:

Q: Set up an integral representation of the area of the region bounded by: x=y2 ,x+y=2, y=0

A:

Q: find the area of a region bounded by the curves y= x^3, y= x ln(x^2), x=1 and x=2

A:

Q: 4) Find the area of the region bounded by the curves y = 2x, y = sin x, x = 0, and a = Make 2 sure…

A:

Q: Find the area of the region under the given curve from 1 to 6. x2 + 6 y = 7x — х2

A:

Q: 1. Find the area of region bounded by the curves y = x² and line y=x. %3D

A: We have to determine area of region

Q: Find the area of the region bounded by the curve y2-4r and the lines x = 1 and x = 4.

A:

Q: 2. Find the area bounded by the curves y = x² and y = 2– x².

A: To find the area bounded by curves

Q: Set up the integral to find the area of the region bounded by x = 4y - y and x = 0.

A:

Q: Find the area of the region under the curve y = 6x² + 4x + 5 from x = -1 to x = 2.

A: Solve the following

Q: Enclosed by x² + 4y² = 16

A: We have to find area bounded by given curves.

Q: Sketch and find the area of the region bounded by y =ln In x, y = 1 – x and y 2.

A: Given curves, fx=y=lnlnxgx=y=1-xhx=y=2 The area bounded by the curves f(x) and g(x) is given by…

Q: Find the integral for the area of the region bounded by y = 2x+4, y = 2-3x, and y = -x using a…

A: Using vertical strip form double integral then integrate

Q: set up an integral representation of the area of the region bounded by y=x^2 and y=2x+3

A:

Q: 1. FIND THE AREA BOUNDED BY THE CURVES X= 2Jy and y %3D

A:

Q: Sketch the region enclosed by the curves y = 2 sin(x), y = 2 csc²(x), x = 7 and x = 4, and compute…

A: The given curves are: y=2 sin x,       y=2csc2x,       x=π4      and      x=3π4

Q: Set up an integral representation of the area of the region bounded by: x=y2,x+y=2, y=0

A: It is given that,set up an integral representation of the area of the region bounded by: x=y2,x+y=2,…

Q: 8. Sketch the region enclosed by the curves: y = x² – 1, y = 7 – x². Then set up (but do not…

A: Given- y=x2-1 and y=7-x2 To Sketch- The region enclosed by the above curves and then set up the…

Q: Sketch the region enclosed by the curves x − 5 = 4y and x − 21 = (y – 4)², and compute its area. A

A: The given curves are; x-5=4y and x-21=y-42 Now find the point of intersection between the given…

Q: Find the area of the region bounded by the given curves. y= x2, y = 4x - x2

A: The given curves are,   y= x2,  y = 4x - x2

Q: Sketch the region bounded by the graphs of y%3= 1 and y=D4-3x, then find its area.

A:

Q: Find the area bounded by the curve x=16-v² and the curve x=y-5y+4 as shown in figure below. x = y² –…

A:

Q: Use an iterated integral to find the area of the region bounded by the graphs of the equations. y =…

A: Given data: The expression for the first equation is y=12x-x2. The expression for the second…

Q: x = y² - 2y and x = 4y - y²

A: The given curves are; x=y2-2y and x=4y-y2 Now find the point of intersection between the given…

Q: 6. Find the area of the region bounded by the two curves of equat rens a) x=3-y² and f(x)= 3x (スー2)-…

A: Note:- In Part (a), you mention f(x) for 2nd curve but it is not mentioned for first curve. If i…

Q: 3. Sketch the region bounded above by the curve y = x, below by the line y = -x - 2 and on the sides…

A:

Q: Find the area of the region under the given curve from 1 to 2. у з х3 + 3x

A:

Q: Find the area of the region between the curve y = 1/1 + x^2 , 0 ≤x ≤√3, and the x-axis.

A:

Q: 2. Find the area bounded between the curves: y = x², y = 4 – 3x, and x = 2 %3D

A:

Q: Use a line integral to find the area of the region R. R: region bounded by the graphs of y = 8x and…

A: To find the area of region bounded by graphs   y = 8x and  y= 9- x2

Q: Set up an integral representing the area A of the region enclosed by the given curves. y = 5x, y =…

A: The region of which area is to be calculated can be visualized from the following graph. The curve…

Q: Find the area of the region bounded by the given curves. y = 6x2 In(x), y = 24 In(x)

A: Graph them using a graphing calculator. The graphs meet at x=1 and x=2 Blue curve is y=24ln(x) Red…

Q: Find the area bounded by the given curves. x2 = y - 1 and x = y - 3

A: From the given curve   x2=y-1 ; x=y-3   Now finding the point of intersection for both curves:…

Q: Set up the integral representing the area of the region between the curves z = -1, x = 4, y = 22-2²,…

A:

Q: 3. Find the area of the region bounded by the curves y = x² and y = x/x+2. .

A:

Q: Set up an integral representation of the area of the region bounded by: y= 1/4x2 + 1/2x and…

A:

Q: What is the area bounded by the curve x^2=-9y and the line y+1=0. O 3 O 4 O 5

A: Given equations: x2=-9yy+1=0

Q: Use an iterated integral to find the area of the region bounded by the graphs of the equations y = 4…

A: Given: The region bounded by the graphs of the equations y=4-x2, y=x+2.

Q: Consider the region R bounded between y=x2-4x and y=-x2+2x  Set up an integral for the area of the…

A:

Q: y=√x, x = 4, and the x-axis.

A: Consider the given function y=xand the x-axis