Zachary buys a new car. The original price of the car is $29,100. The price of the car is then reduced by 15% because of a holid
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Answer:
Step-by-step explanation:
We have the function and we have the function
. We want to find g(x) composed with f(x)
Then, the function (f o g)(x) is the same since f(g(x))
That is, you must do x = g(x) and then enter g(x) into the function f(x).
Simplifying, we obtain:
Finally. The composite function is:
Answer:
The diameter decreases at a rate of 0.053 cm/min.
Step-by-step explanation:
Surface area of an snowball
The surface area of an snowball has the following equation:
In which d is the diameter.
Implicit differentiation:
To solve this question, we differentiate the equation for the surface area implictly, in function of t. So
Surface area decreases at a rate of 3 cm2/min
This means that
Tind the rate (in cm/min) at which the diameter decreases when the diameter is 9 cm.
This is when
. So
The diameter decreases at a rate of 0.053 cm/min.