Answer:
<h2>652 ft²</h2>Step-by-step explanation:
Look at the picture.
It's a net of right rectangular prism.
We have three pairs of rectangles:
7ft × 8ft
7ft × 18ft
8ft × 18ft
The formula of an area of a rectangle l × w:
A = lw
Calculate the areas:
A₁ = (7)(8) = 56 ft²
A₂ = (7)(18) = 126 ft²
A₃ = (8)(18) = 144 ft²
The Surface Area :
S.A. = 2A₁ + 2A₂ + 2A₃
Substitute:
S.A. = 2(56) + 2(126) + 2(144) = 652 ft²
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
