HELP PLEASE . im in credit recovery bc i obviously suck at math im going to post a photo with the question & answers .someon
e pls answer this for me .
1 answer:
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Answer:
The area is growing at a rate of
Step-by-step explanation:
<em>Notice that this problem requires the use of implicit differentiation in related rates (some some calculus concepts to be understood), and not all middle school students cover such.</em>
We identify that the info given on the increasing rate of the circle's radius is 3 and we identify such as the following differential rate:
Our unknown is the rate at which the area (A) of the circle is growing under these circumstances,that is, we need to find .
So we look into a formula for the area (A) of a circle in terms of its radius (r), so as to have a way of connecting both quantities (A and r):
We now apply the derivative operator with respect to time () to this equation, and use chain rule as we find the quadratic form of the radius:
Now we replace the known values of the rate at which the radius is growing ( ), and also the value of the radius (r = 12 cm) at which we need to find he specific rate of change for the area :
which we can round to one decimal place as:
X - the number
The number is 22.
The number is 22.