Friday

October 31, 2014

October 31, 2014

Posted by **anon** on Saturday, March 5, 2011 at 9:44pm.

a.8

b. 8 1/3

c. 10 2/3

d. 16

B or C not sure??

- Calculus 12th grade. -
**jai**, Saturday, March 5, 2011 at 10:21pmfirst, we find where the curve touches the x-axis, or simply get the roots,, to get the roots, equate y = 0:

0 = 4x - x^2

0 = x(4-x)

x = 0 and x = 4

this will be our boundary conditions for integration,, we'll use integration since area under the curve:

integral (4x - x^2) = 2x^2 - (1/3)X^3

at x = 0, the integral becomes

2*0^2 - (1/3)*0^3 = 0

at x = 4 the integral becomes

2*(4^2) - (1/3)*4^3

32 - 64/3

96/3 - 64/3

32/3 = 10 2/3

thus integral from 0 to 4 = 10 2/3 - 0 = 10 2/3

hope this helps~ :)

**Answer this Question**

**Related Questions**

Calculus - Find the exact area below the curve y=x^3(4-x)and above the x-axis

Calculus - Find the exact area below the curve (1-x)*x^9 and above the x axis

12th grade calculus - find points on the curve x^2+xy+y^2=7 (a) where the tangen...

Calculus - Find the dimensions of the rectangle of largest area that has its ...

12th grade calculus - How do I find the area bounded by the curver y = x^1/2 + 2...

12th Grade Calculus - 1. a.) Find an equation for the line perpendicular to the ...

calculus - Find area of the region under the curve y = 5 x^3 - 9 and above the x...

Calculus - Find the area cut off by x+y=3 from xy=2. I have proceeded as under: ...

calculus - Find the volume of the solid generated by revolving the region about ...

calculus - find the volume of the solid of revolution obtained by revolving the ...