Well, "minus 6 x cubed minus y squared minus 3 x y" translates to:
Then, if we insert the values for x and y, we get:
When we distribute and multiply:
And once we combine like terms:
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As a salesperson for an electronic parts distributor, you are given two options for your salary structure. The first option has
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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.