# Math

Fiind the area bounded by the parabola y^2 = 8x, the x axis and the line x=2

1. 👍
2. 👎
3. 👁
4. ℹ️
5. 🚩
1. I think the answer is 2.25V.

1. 👍
2. 👎
3. ℹ️
4. 🚩
2. a = ∫[0,2] √(8x) dx
= √8 (2/3 x^3/2) [0,2]
= 2√8/3 (2√2)
= 16/3

a = ∫[0,4] 2-y^2/8 dy
= 4y - y^3/24 [0,2]
= 8 - 64/24
= 16/3

1. 👍
2. 👎
3. ℹ️
4. 🚩

## Similar Questions

1. ### calc

1. Let R be the region bounded by the x-axis, the graph of y=sqr(x) , and the line x=4 . a. Find the area of the region R. b. Find the value of h such that the vertical line x = h divides the region R into two regions of equal

2. ### calculus

let R be the region bounded by the x-axis, the graph of y=sqrt(x+1), and the line x=3. Find the area of the region R

3. ### Calculus please help

Find the centroid of the area bounded by the parabola y=4-x^2 and the x-axis A.(0,1.6) B.(0,1.7) C.(0,1.8) D.(0,1.9)

4. ### Calc 2

Find the area of the region bounded by the parabola y = 5x2, the tangent line to this parabola at (5, 125), and the x-axis. its not 625/3

1. ### calculus

let R be the region bounded by the graphs of y = sin(pie times x) and y = x^3 - 4. a) find the area of R b) the horizontal line y = -2 splits the region R into parts. write but do not evaluate an integral expression for the area

2. ### calculus 2

Find the area of the region bounded by the parabola y = 3x^2, the tangent line to this parabola at (1, 3), and the x-axis.

3. ### calculus

Find the volume of a solid whose base is bounded by the parabola x=y^2 and the line x=9, having square cross-sections when sliced perpendicular to the x-axis.

4. ### calculus

Find the volume of the solid generated by revolving the region about the given line. The region in the second quadrant bounded above by the curve y = 16 - x2, below by the x-axis, and on the right by the y-axis, about the line x =

1. ### Calculus: Centers of Mass

Find the centroid of the region in the first quadrant bounded by the x-axis, the parabola y^2 = 2x, and the line x + y = 4. I've graphed the function, and it looks like a triangle with one side curved (the parabola). I'm not quite

2. ### calculus

the area of the first quadrant bounded by the y-axis, the line y=4-x, and the graph of y=x-cosx is approximately

3. ### Calc 2

Use the shell method to find the volume of the solid generated by revolving the region bounded by the line y = x + 2 and the parabola y = x^2 about the following lines: a) The line x=2 b) The line x=-1 c) The x axis d) The line

4. ### calculus help lttle question

find the area of the regin bounded by the graphs of y=-x^2=2x=3 and y=3. i don't need help solving the problem and but i am a little confused. ok the graph is a parabola and i drew a parobla with y= 3. now when find the area, am I