Homework Help: math, calculus 2

Posted by bobby on Wednesday, September 12, 2012 at 8:03am.

Consider the area between the graphs x+y=16 and x+4= (y^2). This area can be computed in two different ways using integrals.

First of all it can be computed as a sum of two integrals integrate from a to b of f(x)dx + integrate from b to c of g(x)dx

What is the value of a, b, c and what are f(x) and g(x) equal to?

Alternatively this area can be computed as a single integral

integrate from alpha to beta of h(y)dy
Alpha=?, Beta=?, h(y)=?

Either way we find that the area is: ?

math, calculus 2 - Steve, Wednesday, September 12, 2012 at 11:42am
the graphs intersect at (12,4) and (21,-5)

a = ∫[-4,12] 2√(x+4) dx + ∫[12,21] 16-x+√(x+4) dx

a = ∫[-5,4] (16-y) - (y^2-4) dy

a = 243/2
math, calculus 2 - bobby, Wednesday, September 12, 2012 at 6:26pm
how did you get the -4 in your first step? i dont understand where that came from

Answer this Question

Related Questions

Cal - consider the area between the graphs x+3y=1 and x+9=y^2. this area can be ...
Cal - consider the area between the graphs x+3y=1 and x+9=y^2. this area can be ...
Calculus - Consider the area between the graphs x+1y=12 and x+8=y2 . This area ...
MATH 2B Calculus - Consider the area between the graphs x+4y=14 and x+7=y^2. ...
CAL - consider the area between the graphs x+3y=1 and x+9=y^2. this area can be ...
calculus - consider the area enclosed between the curves f(x)=x^2 and g(x)=4x ...
calculus - consider the area enclosed between the curves f (x) = x2 and g (x) = ...
math - consider the area enclosed between the curves f (x) = x2 and g (x) = 4x ...
calculus - Consider the graphs of y = 3x + c and y^2 = 6x, where c is a real ...
Math - Garden Area Problem. A designer created a garden from two concentric ...

For Further Reading

First Name:
School Subject:
Answer: