Arrange Data in Ascending Order:
Find Median:
There are 15 data points (odd number), so the median is the 8th value in the ordered list.
The 8th value is 3.6.
To estimate the area under the graph of f(x) = x^2 in the interval [0,1] using a lower sum with two rectangles of equal width:
Width of each rectangle = (1 - 0) / 2 = 0.5
Rectangle 1: Height = f(0) = 0^2 = 0, Area = 0 * 0.5 = 0
Rectangle 2: Height = f(0.5) = 0.5^2 = 0.25, Area = 0.25 * 0.5 = 0.125
Total estimated area = 0 + 0.125 = 0.125
The United States transferred control of the Panama Canal to Panama on December 31, 1999, as per the Torrijos-Carter Treaties.
The canal is currently managed by the Panama Canal Authority, a government-owned entity of Panama.
The given partial differential equation:
∂²U/∂x² + ∂²U/∂y² = f(x,y)
is known as the Poisson equation.
If f(x,y) = 0, it would reduce to the Laplace equation.
Pulchritude means خوبصورتی
Unsightliness means بدصُورتی
To integrate √(2x + 1), we can use the power rule of integration and the chain rule.
Let u = 2x + 1, then du/dx = 2, and du = 2dx.
∫√(2x + 1) dx = (1/2) ∫u^(1/2) du
= (1/2) (2/3) u^(3/2) + C
= (1/3) (2x + 1)^(3/2) + C