Answer:
C
Step-by-step explanation:
The range is the grade. Domain is the amount of hours that you study for.
Answer:
Area = πr², where "r" is some distance "y" and/or the function "(1/6)x"; depending on the situation
Step-by-step explanation:
If I'm picturing this correctly, you'll have conical shape after revolving the function about the x-axis. If you took some generic slice and wanted to find the area of the resulting cross-section, then you would have a circle whose radius is some arbitrary value of the line that matches the slice.
For example:
y = (1/6)x right?
If you took a slice at x = 2, then the radius of the resulting cross-sectional circle would be equal to y = (1/6)•2 =1/3.
From here you just plug it into the area of a circle, πr², to get an area of π/3.
Except with an integral you need to take all the points on the interval, so the radius comes out to be the function itself.
Assuming your integral is in terms of dx, r=y. But in order to integrate in terms of dx you must replace "y" with its function (1/6)x. So ultimately r=(1/6)x and Area = π(1/6)x.
Answer:
CD = 8 cm
Step-by-step explanation:
Given
See attachment
Required
Find CD
To calculate CD, we first calculate BC using the following equivalent ratio

Substitute values for AB, AE and ED

Express as fraction

Cross Multiply


Divide through by 6

To calculate CD,
We make use of the following equivalent ratio

Where



So, we have:


Express as fraction

Cross Multiply

Divide through by 4.5


