Posted by Jordan on Monday, May 2, 2011 at 9:56pm.
When doing a question such as:
What is the area of the region enclosed by the graphs of f(x) = x  2x^2 and g(x)= 5x?
what is an easy way to tell if a function is above or under the other, so I can tell which function to put first in the integral. MUCH APPRECIATED!

calculus  Reiny, Monday, May 2, 2011 at 10:22pm
I hope you found that the two functions intersect at
x = 0 and x = 3
so pick any value of x in that domain,
say x = 1
f(1) = 1  2 = 1
g(1) = 5
since f(x) is above g(x) for that value,
f(x) will be above g(x) for all values between 0 and 3
If you had two functions that would intersect at more than 2 values of x, you would have to test this for each of the regions.
Answer This Question
Related Questions
 Calculus 1  Let f be the function given by f(x)=3sqrt(x2). A) On the axes ...
 Calculus  Let f(x)=x^3+3x and g(x=5x^2x Determine the area of the region ...
 calculus  Consider the graphs of y = 3x + c and y^2 = 6x, where c is a real ...
 calculus  1. Let R be the region in the first quadrant enclosed by the graphs ...
 Calculus  4. Find the area of the largest rectangle (with sides parallel to the...
 Calculus  please help!  Suppose that 0 < c < ¥ð/2. For what value of c ...
 Calculus  MathMate Please help  I asked this question on last thursday and u ...
 calculus  Find the area and dimensions of the largest rectangle (with sides ...
 Calculus Help!!!  Find c > 0 such that the area of the region enclosed by ...
 calculus  Let A be the bounded region enclosed by the graphs of f(x) = x , g(x...
More Related Questions