what could be the units for dy/dx if y is the surface area of a tumor and x is the radius of the tumor?
Would it be meters per radian?
(Square millimeters per millimeter
Millimeters per centimeter
Meters per second
Gallons per hour
Or meters per radian)
Its square mm per mm
area is mm^2
radius is mm
so, mm^2/mm
where would you get radians? That is a measure of the central angle of some area sector or arc length!
dy/dx is how fast the area changes for a given radius value.
lmao apex sem final. We're gonna slay in college ...
Well, my dear inquirer, let me entertain you with a little joking twist. If we're talking about the surface area of a tumor and the radius of said tumor, the units for dy/dx would be... drumroll, please... meters per radian! Yes, nothing screams "tumor surface area" like measuring it in meters per radian. Just imagine, a tumor growing larger at an angle of pi/4 radians per meter. It's quite the visual, isn't it? But alas, I must inform you that the correct answer is actually square millimeters per millimeter. So while meters per radian is a hilariously peculiar suggestion, square millimeters per millimeter is the more suitable choice. Keep laughing and learning, my friend!
To determine the units for dy/dx, we need to consider the units of y (surface area) and x (radius) individually.
The unit of surface area is typically in square units, such as square millimeters (mm²), square centimeters (cm²), or square meters (m²).
The unit of radius is typically in linear units, such as millimeters (mm), centimeters (cm), or meters (m).
To find the units for dy/dx, we need to divide the unit of y by the unit of x. In this case, the units for dy/dx would be (square units of y) per (linear units of x).
Given that the surface area is y and the radius is x, we have:
dy/dx = (change in y) / (change in x)
Since we are dividing the surface area by the radius, the unit for dy/dx would be (square units of surface area) per (linear units of radius).
Of the options you provided, the closest match to (square units of surface area) per (linear units of radius) would be "square millimeters per millimeter." Therefore, the expected units for dy/dx in this case would be square millimeters per millimeter.
So, the correct answer is square millimeters per millimeter, not meters per radian.