Question

1) Find the area of the region bounded by the curves y = 2x^2 − 8x...

1) Find the area of the region bounded by the curves y = 2x^2 − 8x + 12 and y = −2x + 12

a) Find the volume when the area in question 1 is revolved around the x-axis.

b)Find the volume when the area in question 1 revolved around the y-axis.

Homework Answers

Answer #1


Please give UPVOTE, if you like the explanation or comment

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
1. Find the area of the region between the curves y = x - 1 and...
1. Find the area of the region between the curves y = x - 1 and y2 = 2x + 6 . 2. Find the volume of the solid of revolution formed by rotating the region about the y-axis bounded by y2 = x and x = 2y.
1- Find the area enclosed by the given curves. Find the area of the region in...
1- Find the area enclosed by the given curves. Find the area of the region in the first quadrant bounded on the left by the y-axis, below by the line   above left by y = x + 4, and above right by y = - x 2 + 10. 2- Find the area enclosed by the given curves. Find the area of the "triangular" region in the first quadrant that is bounded above by the curve  , below by the curve y...
Find the area of the region bounded by the curves y=3x2 and y=−8x+3. please show work....
Find the area of the region bounded by the curves y=3x2 and y=−8x+3. please show work. thanks
Let R be the region bounded by the curves y = x, y = x+ 2,...
Let R be the region bounded by the curves y = x, y = x+ 2, x = 0, and x = 4. Find the volume of the solid generated when R is revolved about the x-axis. In addition, include a carefully labeled sketch as well as a typical approximating disk/washer.
1.Find the area of the region between the curves y= x(1-x) and y =2 from x=0...
1.Find the area of the region between the curves y= x(1-x) and y =2 from x=0 and x=1. 2.Find the area of the region enclosed by the curves y=x2 - 6 and y=3 between their interaction.   3.Find the area of the region bounded by the curves y=x3 and y=x2 between their interaction. 4. Find the area of the region bounded by y= 3/x2 , y= 3/8x, and y=3x, for x greater than or equals≥0.
A. For the region bounded by y = 4 − x2 and the x-axis, find the...
A. For the region bounded by y = 4 − x2 and the x-axis, find the volume of solid of revolution when the area is revolved about: (I) the x-axis, (ii) the y-axis, (iii) the line y = 4, (iv) the line 3x + 2y − 10 = 0. Use Second Theorem of Pappus. B. Locate the centroid of the area of the region bounded by y = 4 − x2 and the x-axis.
1- Find the volume of the solid obtained by rotating the region bounded by the given...
1- Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. ?= 64x− 8x^2, y=0; about the y-axis 2- Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y= 5+ 1/x^2, y= 5, x=2, x=9; about the x-axis.
Find the surface area of the solid generated when the region bounded by x=ln(2y+1),0≤y≤1 is revolved...
Find the surface area of the solid generated when the region bounded by x=ln(2y+1),0≤y≤1 is revolved about the Y- axis.
Find the area of the region bounded by the curves x+y^2= 2 and x+y=0
Find the area of the region bounded by the curves x+y^2= 2 and x+y=0
5. Find the area bounded by the curves: two x = 2y - y^2 ; x...
5. Find the area bounded by the curves: two x = 2y - y^2 ; x = 0. 6. Find the surface area of ​​the solid of revolution generated by rotating the region along the x-axis. bounded by the curves: ? = 2?; y = 0 since x = 0 until x = 1