When analyzing related data variables, how can one tell which one is the independent variable and which one is the dependent var
1 answer:
Answer:
Dependent and independent Variable.
Step-by-step explanation:
Dependent and independent Variable.
- The two variables in an experiment are independent and dependent variable.
- Usually, the dependent variable is denoted by y and the independent variable a re denoted by
- The dependent variable depends on independent variable in an experiment and thus cannot be controlled.
- On the other hand we can change or control the independent variables to test effect on dependent variable.
- As the independent variable are changed, we observe corresponding changes in the dependent variable.
- Example: Let money spend be the dependent variable. It depends on an independent variable of shopping. We may control or change or shopping habits to see the changes in the money spent. Money spent totally depends in the amount f shopping done.
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Answer:
The rate of change in surface area when r = 20 cm is 20,106.19 cm²/min.
Step-by-step explanation:
The area of a sphere is given by the following formula:
In which A is the area, measured in cm², and r is the radius, measured in cm.
Assume that the radius r of a sphere is expanding at a rate of 40 cm/min.
This means that
Determine the rate of change in surface area when r = 20 cm.
This is when
. So
Applying implicit differentiation.
We have two variables, A and r, so:
The rate of change in surface area when r = 20 cm is 20,106.19 cm²/min.