I am stuck on this step of finding the area bounded by the following curves. y...

Question

Question

I am stuck on this step of finding the area bounded by the following curves.

y = 16-x^2, y = 8x - x^2, x = 1, x = 3

I can figure everything out until I get to the point of combining A=Aleft = Aright (shown below)

math calculus

Answer 1

Answer #1

= 16-0² =) A= Aleft & Aright y= , y = 8x-x² > -1, X-3 intersecting at then 16-Y?= 82-42 8x=16 -) А 3 (8x-x2) ate x=2 2. 7 16-

Answer 2

Similar Homework Help Questions

Calculus question on finding the area (by using integrals) enclosed by curves?? y = 8x y...

Calculus question on finding the area (by using integrals) enclosed by curves?? y = 8x y = x y = 8 / (x^2)
(i) Find the area of the region bounded by the curves x = y 5y+6 and...

(i) Find the area of the region bounded by the curves x = y 5y+6 and x =-y +y+6 Q.2 A. (1) Find the area of the region bounded by the curves x = y2 - 5y +6 and x=-y+y+6 (2 Marks) In(tan x) (ii) Evaluate lim (3 Marks) sinx-cosx B. (1) Evaluate |fxsin(xy dydx (3 Marks) X- (1) Evaluate lim * (11) Evaluate tan lim- (2 Marks) 2 Marks) - tan
Show all work please. 1Find the area of the region bounded by the curves y 2x2...

Show all work please. 1Find the area of the region bounded by the curves y 2x2 - 8x + 12 and y=-2 + 12. Find the volume when the area in question/qis revolved around the 3-axis. Find the volume when the area in question/grevolved around the y-axis. Va is revolved around the Ib Find the volume of the region formed when the area enclosed by y = x3 and y 2-axis. Consider only positive values of x. Find the volume...

Find the area of the plane figure bounded by the curves v=3x² y=0, x=2.

Find the area of the plane figure bounded by the curves v=3x² y=0, x=2.
Find the area of the region bounded by the two curves . y = x2 -...

Find the area of the region bounded by the two curves . y = x2 - 1, y = -x + 2, x = 0, x = 1 · y = -x + 3, y = x, x = -1, x = 1 . y = {x} + 2, y = x + 1, x = 0, x = 2
Find the area of the region bounded between the curves y = x and y =...

Find the area of the region bounded between the curves y = x and y = 2 – x2 by: a. Integrating with respect to x Integrating with respect to y

Show all work so that I can follow your thought process 1) Area between curves Determine the area of the region bounded by the following two functions: 2) Use the region bounded by the curves to d...

Show all work so that I can follow your thought process 1) Area between curves Determine the area of the region bounded by the following two functions: 2) Use the region bounded by the curves to determine the following volumes: a) Rotate the region around the x-axis b) Rotate the region aroundy 4 c) Rotate the region around the line x-1 Show all work so that I can follow your thought process 1) Area between curves Determine the area of...
(1 point) The area of the finite region bounded by the curves Y=V2 + 7 and...

(1 point) The area of the finite region bounded by the curves Y=V2 + 7 and y=V-5-2 and the 3 axis is 0 Square units.
Find the area of the region between curves 1. Find Find the area of...

Find the area of the region between curves 1. Find Find the area of the region between curves by rotating about x-axis the region in the x,y- plane bounded below and above, respectively, by the curves: a. y = 2x2, y = 4x + 16 b. x = -y2 + 10, x = (y – 2) I

5. (10 pts.) Find the area shaded below which is bounded by the curves y =...

5. (10 pts.) Find the area shaded below which is bounded by the curves y = x2 (red), y = x + 2 (blue) and x axis. (The graph is not drawn to scale). y=x2 y=x+2