The answer is 3/2
3 units up and 2 units to the left that is the slope
You just have to combine like terms here
6+7n^3 is the final answer
surface area = 4 x pi x r^2
diameter = 1 so radius = 1/2 = 0.5
4 x 3.14 x 0.5^2 = 3.14 meters^2
F(x)= -8x²
f(-3)= -8* (-3)²
f(-3)= -8 * 9
f(-3)= -72
The <em>instantaneous</em> rate of change of <em>g</em> with respect to <em>x</em> at <em>x = π/3</em> is <em>1/2</em>.
<h3>How to determine the instantaneous rate of change of a given function</h3>
The <em>instantaneous</em> rate of change at a given value of can be found by concept of derivative, which is described below:
Where is the <em>difference</em> rate.
In this question we must find an expression for the <em>instantaneous</em> rate of change of if and evaluate the resulting expression for . Then, we have the following procedure below:
Now we evaluate for :
The <em>instantaneous</em> rate of change of <em>g</em> with respect to <em>x</em> at <em>x = π/3</em> is <em>1/2</em>.
To learn more on rates of change, we kindly invite to check this verified question: brainly.com/question/11606037