Area between the curves problems

Dharshi · 2012-04-09 21:16:23

(1) Find the area bounded by the curves f(x) = x^3 and f(x) = √x.

(2) Determine the area of the region bounded by x = -y2 + 10 and x = (y - 2)^2.

(3) Find the area between the curves f(x) = √x and f(x) = x^2.
(4) Determine the area of the region bounded by the curve f(x) = 2x^2 + 10, and the line f(x) = 4x + 16, x = -2 and x = 5.

(5) Find the area bounded by the curve f(x) = x^3 - 6x^2 + 11x 6 and the x-axis
(6) Find the area bounded by the curve y = 8 x^2 and the line y = 2

I tried and getting different answers help me out

bobbym · 2012-04-09 21:20:05

Hi;

What about this?

http://www.mathisfunforum.com/viewtopic.php?id=17605

Dharshi · 2012-04-09 21:24:02

I need the steps

bobbym · 2012-04-09 21:27:28

I gave the steps to that problem. Did you understand the answer?

bobbym · 2012-04-09 21:31:27

(1) Find the area bounded by the curves f(x) = x^3 and f(x) = √x.

I am getting 5 / 12, what did you get?

Dharshi · 2012-04-09 21:32:26

s i got that ans

bobbym · 2012-04-09 21:45:28

For 2)

Determine the area of the region bounded by x = -y2 + 10 and x = (y - 2)^2.

What is -y2 ?

Dharshi · 2012-04-09 21:57:20

It is -y^2

bobbym · 2012-04-09 21:59:37

Hi;

Determine the area of the region bounded by x = -y^2 + 10 and x = (y - 2)^2.

Let's do this one together.

Okay, did you graph the functions? This is necessary to see the larger and smaller or the right and left functions. This is just a little bit tricky, I have given my graph below. What does yours look like?

Were you able to find the points of intersection? If not, do you need help with that?

Where did the OP go?

Dharshi · 2012-04-11 05:56:58

hi i tried with the prob 4 y= 2x^2+10 and line y =4x+16

am getting the ans as 14/3, but in my book it is given as 142/3

How come this comes???

bobbym · 2012-04-11 06:00:32

Hi Dharshi;

Did you graph it?

Dharshi · 2012-04-11 06:29:02

i drew it and found the solution, thanks for ur help

bobbym · 2012-04-11 06:32:03

You need from x = - 2 to 5?

Then the book is correct!

bobbym · 2012-04-11 06:41:49

(5) Find the area bounded by the curve f(x) = x^3 - 6x^2 + 11x 6 and the x-axis

What does that . between the 11x and th 6 mean?

Where did he go?

Math Is Fun Forum

#1 2012-04-09 21:16:23

Area between the curves problems

#2 2012-04-09 21:20:05

Re: Area between the curves problems

#3 2012-04-09 21:24:02

Re: Area between the curves problems

#4 2012-04-09 21:27:28

Re: Area between the curves problems

#5 2012-04-09 21:31:27

Re: Area between the curves problems

#6 2012-04-09 21:32:26

Re: Area between the curves problems

#7 2012-04-09 21:45:28

Re: Area between the curves problems

#8 2012-04-09 21:57:20

Re: Area between the curves problems

#9 2012-04-09 21:59:37

Re: Area between the curves problems

#10 2012-04-11 05:56:58

Re: Area between the curves problems

#11 2012-04-11 06:00:32

Re: Area between the curves problems

#12 2012-04-11 06:29:02

Re: Area between the curves problems

#13 2012-04-11 06:32:03

Re: Area between the curves problems

#14 2012-04-11 06:41:49

Re: Area between the curves problems

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