# Calculus

posted by .

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region.
2y=5x^(1/2) , y=4 and 2y+1x=6

I've been trying this problem for about 3 hours.

• Calculus -

The region of interest is a triangle-ish area. The intersections are
(-2,4) (64/25,4) (1,5/2)

wrt x, divide region into two parts:

∫[-2,1] 4 - (6-x)/2 dx
+ ∫[1,64/25] 4 - 5/2 √x dx
= 9/4 + 27/25 = 333/100

wrt y,

∫[5/2,4] 4/25 y^2 - (6-2y) dy
= 333/100

• Calculus -

Thank you so much!!!!!

• Calculus -

no sweat. Hang in there and after a few hundred more of these, they'll be a piece of cake!

## Similar Questions

1. ### calculus

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y=3sqrt(x) , y=3 and 2y+3x=6.
2. ### Calculus

sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y=5 rootx, y=5, and 2y+2x=7.
3. ### CALCULUS:)

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y=3sqrtx and y=3 and 2y+2x=5
4. ### Calculus

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y=3sqrtx , y=3 , 2y+2x=5
5. ### Calculus

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y=3(x^(1/2)) , y=5 and 2y+3x=6
6. ### Calculus-Area between curves

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y=4*sqrt(x) , y=5 and 2y+4x=8 please help! i've been trying this problem the last couple days, even …
7. ### Calculus

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. x+y^2=42, x+y=0
8. ### calculus

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y=3 sqrt x,y=3 and 2y+1x=4
9. ### calculus

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y = 4√x and y = 5 and 2y+2x = 6.
10. ### calculus

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then ﬁnd the area of the region. y = 5x^2 and y = x^2+6

More Similar Questions