Answer:

this is the equation of the tangent at point (-1,1/e)
Step-by-step explanation:
to find the tangent line we need to find the derivative of the function g(x).

- we know that



this the equation of the slope of the curve at any point x and it also the slope of the tangent at any point x. hence, g'(x) can be denoted as 'm'
to find the slope at (-1,1/e) we'll use the x-coordinate of the point i.e. x = -1

using the equation of line:

we'll find the equation of the tangent line.
here (x1,y1) =(-1,1/e), and m = 3/e


this is the equation of the tangent at point (-1,1/e)
Finding the volume of a cube involves multiplying with this formula.
Height * Width * Length = volume
To find what the side lengths are, we can take the cube root of 64.
∛64 = 4
Height = 4
Width = 4
Length = 4
These sides are multiplied together to get 64.
The only answer choice that makes sense is Option A.
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Best Regards,
Wolfyy :)
No, 243 is not a prime number, it is a composite number.
I hope I helped you again :-)
P = 2(l + w)
p = 356
l = 96
356 = 2(96 + w)
356 = 192 + 2w
356 - 192 = 2w
164 = 2w
164/2 = w
82 = w
check....
p = 2(l + w)
356 = 2(96 + 82)
356 = 2(178)
356 = 356 (correct)
so the width (w) = 82 cm
This is what the graph of in(x) looks like