Calculus
posted by Sammy .
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.
Please help!!!!!

The region of interest is a triangleish area. The intersections are
(2,4) (64/25,4) (1,5/2)
wrt x, divide region into two parts:
∫[2,1] 4  (6x)/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  (62y) dy
= 333/100 
Thank you so much!!!!!

no sweat. Hang in there and after a few hundred more of these, they'll be a piece of cake!
Respond to this Question
Similar Questions

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. 
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. 
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 
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 
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 
CalculusArea 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 … 
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 
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 
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. 
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