Answer:
6,200
Step-by-step explanation:
19-20
307-310
310 x 20= 6,200 or 20 x 310= 6,200
Using implicit differentiation, it is found that the radius is increasing at a rate of 0.0081 cm per minute.
<h3>What is the volume of a sphere?</h3>
The volume of a sphere of radius r is given by:
Applying implicit differentiation, the rate of change is given by:
In this problem, we have that:
Hence the rate of change of the radius is given as follows:
The radius is increasing at a rate of 0.0081 cm per minute.
More can be learned about implicit differentiation at brainly.com/question/25608353
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Answer:
Inverse property
Step-by-step explanation:
The definition of the inverse property is to add to get a result of zero. Since we are adding the inverse of each term to get a result of zero each time, we are using the inverse property.
Easy there on the caps, partner.
The nine, using the distributive property, distributes itself across the brackets, and so 9 times t is 9t and 9 times -1 is -9.
Therefore, 9(t-1) = 9t -9
Since g(x) varies with x, therefore:
g(x) = k/x where k is a constant.
So, first we need to get k. We are given that g(x) = 0.2 when x = 0.1
Substitute with these values to get k as follows:
g(x) = k/x
0.2 = k/0.1
k = 0.2*0.1 = 0.02
Now, the equation became:
g(x) = 0.02 / x
We need to get the g(x) when x = 1.6
Therefore, we will substitute with x in the equation and calculate the corresponding g as follows:
g(x) = 0.02 / 1.6
g(x) = 0.0125
