I need help in solving this..... Please and Thank You
And explain throughly for me please because i am 100% confused....
Find the area of the region in the first quadrant bounded by the line , the line , the curve , and the x-axis.
I need help in solving this..... Please and Thank You
And explain throughly for me please because i am 100% confused....
Find the area of the region in the first quadrant bounded by the line , the line , the curve , and the x-axis.
The first thing you should do is draw the graph of the lines $\displaystyle y = 8x$ and $\displaystyle x = 1$ and the curve $\displaystyle y = \frac{1}{\sqrt{x}}$ and then shade the required region. Have you done that?
You need to find where the line and the curve intersect. Solve $\displaystyle 8x = \frac{1}{\sqrt{x}}$ to get the x-coordinate.
The required region consists of two seperate parts. The part between the line and the x-axis, and the part between the curve and the x-axis. Find the area of each part.
There are several pre-calculus skills you need to have competency in. It might be wise to go back and revise those skills (finding where curves intersect, solving equations, drawing graphs etc.)