Answer to Question #342422 in Calculus for Jane

Question #342422

Determine the area of the region bounded by x = y²-y-6 and x = 2y +4.

Expert's answer

y²-y-6=2y+4

y²-3y-10=0

y1=5

y2=-2

S="\\smallint"_-2 ⁵ ((2y-4)-(y²-y-6)) dy = "\\smallint"_-2⁵ 3y-y²+2 dy = 1.5y²-y³/3+2y |_-2⁵= 343/6

S = 343/6

Learn more about our help with Assignments: Calculus Pre-Calculus Differential Calculus Multivariable Calculus

Comments

No comments. Be the first!

Leave a comment

Related Questions

1. Determine the area of the region bounded by x = y²-y-6 and x = 2y +4.
2. Determine the area to the left of g(y) = 3-y2 and to the right of x = -1
3. Find the area of f(x) = 3+2x-x² above the x-axis.
4. Find the area, take the elements of the area parallel to the x-axis. y= 2x³-3x³-9x; y=x²-2x²-3x.
5. Find the area, take the elements of the area perpendicular to the x-axis. x²-y+1=0; x-y+1=0.
6. A farmer wants to fence an area of 60,000 m2 in a rectangular field and then divide it in half with
7. A poster is to have an area of 630 cm2 with 2.5 cm margins at the bottom and sides and a 5 cm m