Problem 1 :
Find the area bounded between the functions y = x^{3} - x & y = 3x.
Solution:
Let us find the point of intersection,
y = x^{3} - x ---> (1)
y = 3x ---> (2)
(1) = (2)
x^{3} - x = 3x
x^{3} - 4x = 0
x(x^{2} - 4) = 0
x(x + 2)(x - 2) = 0
x = 0, x = 2 and x = -2
Using graphing calculator, find the area between the curves.
Problem 2 :
Find the area bounded between the functions y = x^{2}, y = 1/x & y = 4
Solution:
y = x^{2 }----(1) and y = 1/x ----(2)
x^{2} = 1/x
(x^{3} - 1) / x = 0
x^{3} - 1 = 0
x^{3} = 1
x = 1
Problem 3 :
Find the area bounded by y = 2^{x}, y = 4^{x} and y = 1/x.
Solution:
So, the required area is 0.63 square units.
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM