Answer:
The diameter will increase at a rate of 1/30π cm/min
Step-by-step explanation:
Here we want to calculate the rate at which the diameter will increase
Mathematically, the area of a sphere is given as;
A = 4πr^2
But r = d/2
so A = 4 * π * d/2 * d/2 = πd^2
dA/d(d) = 2πd
Thus dd/dA = 1/2πd = 1/2 * π * 15 = 1/30π
Given dA/dt = 10
Mathematically;
d(d)/dt = d(d)/dA * dA/dt
dd/dt = 1/30π * 10 = 10/30π = 1/3π cm/min
11 + 5 x 4a
Hope this helps! Do you need an explanation?
Answer:
44
Step-by-step explanation:
This is called the Tribonacci sequence. In this sequence, you add the last 3 numbers together to get the next number in the sequence.
For example, 0+1+1=2, 1+2+4=7, 4+7+13=24 and so on.
7+13+24=44
44 is the next number in the sequence
<h3>Geometric mean of 5 and 7 is 5.9161</h3>
<em><u>Solution:</u></em>
Given that,
We have to find the geometric mean of 5 and 7
The geometric mean of two numbers a and b is the square root of product of a and b
Which means,
<h3><u>Geometric mean of 5 and 7</u></h3>
Thus geometric mean of 5 and 7 is 5.9161
(6x^3-2x^2+4) <span>- (2x^3+4x^2-5)
Subtract the like terms
6x^3 - 2x^3 = 4x^3
-2x^2 - 4x^2 = -6x^2
4 - (-5) = 9
The final answer would be
4x^3 - 6x^2 + 9
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